CN110015415A - A kind of bi-axial tilt quadrotor - Google Patents

A kind of bi-axial tilt quadrotor Download PDF

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Publication number
CN110015415A
CN110015415A CN201910382221.2A CN201910382221A CN110015415A CN 110015415 A CN110015415 A CN 110015415A CN 201910382221 A CN201910382221 A CN 201910382221A CN 110015415 A CN110015415 A CN 110015415A
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aircraft
rotor
unit
controller unit
module
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CN110015415B (en
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雷瑶
叶艺强
王金利
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Fuzhou University
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Fuzhou University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64CAEROPLANES; HELICOPTERS
    • B64C27/00Rotorcraft; Rotors peculiar thereto
    • B64C27/04Helicopters
    • B64C27/08Helicopters with two or more rotors
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64CAEROPLANES; HELICOPTERS
    • B64C27/00Rotorcraft; Rotors peculiar thereto
    • B64C27/52Tilting of rotor bodily relative to fuselage
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64UUNMANNED AERIAL VEHICLES [UAV]; EQUIPMENT THEREFOR
    • B64U10/00Type of UAV
    • B64U10/10Rotorcrafts
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/08Control of attitude, i.e. control of roll, pitch, or yaw
    • G05D1/0808Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft
    • G05D1/0816Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability
    • G05D1/0825Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability using mathematical models
    • GPHYSICS
    • G08SIGNALLING
    • G08CTRANSMISSION SYSTEMS FOR MEASURED VALUES, CONTROL OR SIMILAR SIGNALS
    • G08C17/00Arrangements for transmitting signals characterised by the use of a wireless electrical link
    • G08C17/02Arrangements for transmitting signals characterised by the use of a wireless electrical link using a radio link
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W76/00Connection management
    • H04W76/10Connection setup

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  • Engineering & Computer Science (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mechanical Engineering (AREA)
  • Remote Sensing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Algebra (AREA)
  • Signal Processing (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Automation & Control Theory (AREA)
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Abstract

The present invention proposes a kind of bi-axial tilt quadrotor, fuselage includes uniformly multiple power arms set on fuselage week at, and sensor unit, controller unit, control dispenser unit, vehicle dynamics system module, wireless communication module at fuselage;Wireless communication module can establish wireless telecommunications with ground control station;The power arm includes rotor and leaning device;Rotor is with the driving motor driving of the motor fixing seat supported by leaning device;The leaning device is connected with controller unit;The controller unit adjusts rotor position and rotor towards the flight to adjust aircraft through leaning device;The present invention can instruct the revolving speed and rotor tilt angle of four rotors of automatic adjustment according to input, utilize the stability of closed-loop control system, the state of flight of itself is fed back, the work of self flight regulation is automatically performed, achievees the purpose that flight pitching, rolling and yaw;Both the high efficiency and high reliability of flight regulation be ensure that.

Description

A kind of bi-axial tilt quadrotor
Technical field
The present invention relates to small-sized unmanned aircraft technical field, especially a kind of bi-axial tilt quadrotor.
Background technique
The configuration of bi-axial tilt formula rotor refers to rotation by support arm and motor fixing seat, make the rotational plane of rotor with The rotor configuration that forms an angle with body planar shaped, since the aircraft has the characteristics that bi-axial tilt, then the aircraft Rotor can be completed to be easy to carry out pitching, rolling and yawing rotation, realize aircraft around the inclined effect of driving motor surrounding The purpose flexibly flown.The support arm and motor fixing seat of most of traditional quadrotor are all fixedly mounted at body On, four rotors of aircraft all make rotating motion in the same plane, and rotor can only pass through the revolving speed of change driving motor Realize pitching, rolling and yawing rotation, need four variable speed drive motors and regulation and control system, and strain function it is poor and Not stable enough in the process, if aircraft needs to complete above 3 kinds of movements in time, first method is to need to add at head Driver and tail pipe is installed at dress driver or tail additional to require to reach flight.However, this method increasing with equipment, Body weight needs more rotors or lengthens propeller to maintain the hovering campaign of aircraft, pass through this also along with increase Although the method that kind increases rotor enhances the reliability of aircraft, but its flexibility is difficult to be guaranteed.Second method It is the method using feather propeller, this method is according to the weight for trying holding aircraft, to maintain the height of aircraft Flexibility, but this method needs to implement complex, failure using more complicated propeller and servo electrical machinery system Rate is high, and may be with personal damage in the event of failure.The method of the above-mentioned flexible sporting flying of realization multi-rotor aerocraft or Lift and weight is relatively low or structure is complicated, low efficiency, this greatly constrains it in the extensive use of every field.
Summary of the invention
The present invention proposes a kind of bi-axial tilt quadrotor, and four rotors of automatic adjustment can be instructed according to input Revolving speed and rotor tilt angle, remote control can be carried out, and closed loop can be utilized according to different flight environment of vehicle conditions The stability of control system is fed back the state of flight of itself, is automatically performed the work of self flight regulation, can be led to Tilting rotor is crossed to achieve the purpose that flight pitching, rolling and yaw;Both the high efficiency and high reliability of flight regulation be ensure that, The size that aircraft can be reduced again, to improve flexibility.
The present invention uses following technical scheme.
A kind of bi-axial tilt quadrotor, the fuselage (1) of the aircraft include uniformly being set to fuselage week at Multiple power arms, and the sensor unit (2) at fuselage, controller unit (3), control dispenser unit (4), vehicle Dynamic system module (5), wireless communication module (6);The wireless communication module can establish channel radio with ground control station (7) News;
The power arm includes rotor (108) and leaning device (115);Motor of the rotor to be supported by leaning device Driving motor (107) driving at fixing seat (105);The leaning device is connected with controller unit;The controller unit Rotor position and rotor are adjusted towards the flight to adjust aircraft through leaning device.
The power arm quantity is four.
The leaning device is connected with support arm (103) beginning with servo motor at fuselage (106), with support arm end with The middle part of motor fixing seat is hinged;The servo motor driving support arm rotation is so that rotor verts;It is equipped at the support arm For fixing the fixed block (111) of steering engine (109);The steering engine is connected through link mechanism (104) with the lower end of motor fixing seat, The steering engine makes rotor generate yaw forces through the swing of link mechanism driving motor fixing seat.
The link mechanism is parallelogram mechanism;The inclination angle alpha of the rotor can carry out between 0 ° and 90 ° Adjustment, inclination angle alpha can be 0 ° but cannot be 90 °.
The fuselage further includes undercarriage (101) and electrical compartment (102);Gravity-feed tank is equipped in the electrical compartment Answer device (112), gyroscope (113), remote sensing (114) and several batteries (116);The output shaft and rotor branch of the servo motor Brace and the contact position of electrical compartment (102) are attached by bearing (110).
The sensor unit (2) is responsible for the connection work between sensor unit and controller unit (3), receives sensing The metrical information received is simultaneously for conversion into electric signal according to certain rules and exported to controller unit by the metrical information of device unit (3);The controller unit (3) completes to carry out after the transmission information of receiving sensor unit (2) and wireless communication module (5) pair The processing answered simultaneously issues control command signal;
Control dispenser unit (4) completes sharing out the work for the control command signal of controller unit (3), will receive Command information to controller unit (3) carries out orderly four servo motors (106) for distributing to aircraft, four driving motors (107) and four steering engines (109), the adjustment of state of flight is realized;
The vehicle dynamics system module (5) includes actuator unit (501) and sensor unit (502), inductor Unit (502) include gravity sensing module (503), perturbation induction module (504), gravity sensor (111), gyroscope (113), Remote sensing (114), execute control dispenser unit (4) instruction, vehicle dynamics system module by sensor unit (502) into The real-time gravity of row and perturbation external force measure and feed back to controller unit (3) to form closed-loop system;
The wireless communication module (6) includes transmitting module (601) and receiving module (602), the transmitting module (601) It can conversion and non-interference, transmitting module (602) and controller unit mutually simultaneously with the operating mode of receiving module (602) (3) be connected, between receiving module (602) and ground control station (7) wirelessly communication contact so that the ground control station (7) orientation is executed to aircraft and instructs operation.
The sensor unit (2) is an IMU by SBG system and IG-500, this unit has an embedded place Device is managed, for exporting the posture and position data of filtering;The controller unit (3) is controlled based on a PD for having 3 SISD Device processed, the chipset maximal criterion for processing the Digilent of plate are used to read signal;Controller unit (2) is from sensor unit (2) serial information is read with MAX32 in output signal, instructs servo motor (106), driving motor by issuing pwm signal (107) and steering engine (109):
It is defended between receiving module (602) and ground control station (7) in the wireless communication module (6) by Spektrum Star receiver and DX6i RC transmitter are communicated.
The absolute revolving speed of the output shaft of the driving motor be angular speed of the aircraft on tri- directions XYZ, steering engine and The physical features of the sum of the vector of servo motor revolving speed, four support arms of aircraft are consistent, and a support arm is taken to carry out stress point Analysis, the absolute revolving speed of the output shaft of driving motor
Angular acceleration is
Vector in formulaThe unit vector for indicating reference system j, is indicated with reference system i;P, q and r respectively indicates flight Angular speed of the device on tri- directions reference frame XYZ;η and γ indicates the tilt angle of twin shaft when servo motion;η ' γ ' table The angular speed that verts of twin shaft when showing servo motion;Ω is expressed as the revolving speed of driving motor;
Utilize Eulerian equation3M=3I3α+3ω×3I3ω (formula 3) calculates the torque for acquiring driving motor output shaft3M, Then spin matrix R is utilized3to1Calculate the torque for acquiring the aircraft itself in referential1MGvro, its calculation formula is:
The thrust torques of link mechanism are as follows:
L is the length of parallelogram mechanism in formula;H is the height of parallelogram mechanism;
The thrust and torque coefficient of rotor is defined as:
T=ρ A (Ω R)2CT(6) and Q=ρ A (Ω R)2RCQ(formula 7);
C in formulaTAnd CoFor link mechanism thrust and torque coefficient.
Then aircraft gross thrust torque are as follows:
Aircraft absolute stress condition on six-freedom degree are as follows:
X, Y and Z are expressed as absolute active force of the aircraft on XYZ axis in formula;L, M and N is expressed as flying Absolute opplied moment of the device on XYZ axis;U, v and w is expressed as the whole angular speed on XYZ axis of aircraft;Aircraft Absolute angular speed in comprehensive stress condition, on three directions of XYZ coordinate axis are as follows:
Φ ', θ ' and Ψ ' are expressed as absolute angular speed of the aircraft on three directions of XYZ coordinate axis in formula;Φ For the angle of aircraft fuselage central axis and longitudinal axis Z axis;θ is projection line and X-axis of the aircraft fuselage central axis on X/Y plane Angle.
A kind of novel biaxial that the present invention provides tilts quadrotor, can use support arm and motor fixing seat Rotation makes rotor vert, and then achievees the purpose that flight free strain by tilting rotor, and can be according to different flight environment of vehicle Condition is fed back the state of flight of itself using the stability of closed-loop control system, is automatically performed self flight regulation Work reduces fly to a certain extent since the optimization of the housing construction of aircraft reduces the utilization of some dynamical system equipment The scale size of row device becomes more flexible flight.The flight for realizing quadrotor is intelligent, and manipulator only needs to input Instruction can be obtained by its requirement, also avoid the operation error bring of manipulator dangerous, the novel biaxial that the present invention provides inclines Convenient, the safe and intelligent outstanding advantages of oblique quadrotor have a broad prospect of the use in dual-use upper tool.
Detailed description of the invention
The present invention is described in more detail with reference to the accompanying drawings and detailed description:
Attached drawing 1 is operation control system schematic diagram of the invention;
Attached drawing 2 is the vertical view of aircraft of the present invention to schematic diagram;
Attached drawing 3 is leaning device schematic diagram of the invention;
Attached drawing 4 is vehicle dynamics system module diagram of the invention;
Attached drawing 5 is information interchange schematic diagram between controller unit and ground control station of the invention;
Attached drawing 6 is the communication schematic diagram between controller unit and each actuator unit and sensor unit of the invention;
(one of rotor is in vert reference frame schematic diagram when attached drawing 7 is aircraft flight of the present invention State).
In attached drawing: 1- fuselage;2- sensor unit;3- controller unit;4- controls dispenser unit;5- dynamics of vehicle System module;6- wireless communication module;7- ground control station;
101- undercarriage;102- electrical compartment;103- support arm;104- link mechanism;105- motor fixing seat;106- Servo motor;107- driving motor;108- rotor;109- steering engine;110- bearing;111- fixed block;112- gravity sensor; 113- gyroscope;114- remote sensing;115- leaning device;116- battery;
501- actuator unit;502- sensor unit;503- gravity sensing module;504- perturbation induction module;
601- transmitting module;602- receiving module.
Specific embodiment
As shown in figs. 1-7, a kind of bi-axial tilt quadrotor, the fuselage 1 of the aircraft include uniformly being set to machine Body week along place multiple power arms, and sensor unit 2 at fuselage, controller unit 3, control dispenser unit 4, Vehicle dynamics system module 5, wireless communication module 6;The wireless communication module can establish channel radio with ground control station 7 News;
The power arm includes rotor 108 and leaning device 115;The rotor is fixed with the motor supported by leaning device Driving motor 107 at seat 105 drives;The leaning device is connected with controller unit;The controller unit is through dumper Structure adjusts rotor position and rotor towards the flight to adjust aircraft.
The power arm quantity is four.
The leaning device is connected with 103 beginning of support arm with servo motor 106 at fuselage, with support arm end and motor The middle part of fixing seat is hinged;The servo motor driving support arm rotation is so that rotor verts;It is equipped with and is used at the support arm The fixed block 111 of fixed steering engine 109;The steering engine is connected through link mechanism 104 with the lower end of motor fixing seat, the steering engine warp The swing of link mechanism driving motor fixing seat makes rotor generate yaw forces.
The link mechanism is parallelogram mechanism;The inclination angle alpha of the rotor can carry out between 0 ° and 90 ° Adjustment, inclination angle alpha can be 0 ° but cannot be 90 °.
The fuselage further includes undercarriage 101 and electrical compartment 102;Gravity sensor is equipped in the electrical compartment 112, gyroscope 113, remote sensing 114 and several batteries 116;The output shaft and flight support arm of the servo motor with electrically set The contact position in standby cabin 102 is attached by bearing 110.
The sensor unit 2 is responsible for the work that contacts between sensor unit and controller unit 3, receiving sensor list The metrical information received is simultaneously for conversion into electric signal according to certain rules and exported to controller unit 3 by the metrical information of member;Institute Corresponding processing is carried out concurrently after stating the transmission information of the completion receiving sensor unit 2 of controller unit 3 and wireless communication module 5 Control command signal out;
The control dispenser unit 4 completes sharing out the work for the control command signal of controller unit 3, will receive control The command information of device unit 3 processed carries out four servo motors, 106, four driving motors 107 and four for orderly distributing to aircraft A steering engine 109, realizes the adjustment of state of flight;
The vehicle dynamics system module 5 includes actuator unit 501 and sensor unit 502, sensor unit 502 Including gravity sensing module 503, perturbation induction module 504, gravity sensor 111, gyroscope 113, remote sensing 114, control is executed The instruction of dispenser unit 4, vehicle dynamics system module carries out real-time gravity by sensor unit 502 and perturbation external force is surveyed Determine and feeds back to controller unit 3 to form closed-loop system;
The wireless communication module 6 includes transmitting module 601 and receiving module 602, the transmitting module 601 and reception mould The operating mode of block 602 can simultaneously mutually conversion and it is non-interference, transmitting module 602 is connected with controller unit 3, reception mould Between block 602 and ground control station 7 wirelessly communication contact so that the ground control station 7 to aircraft execute orientation refer to Enable operation.
The sensor unit 2 is an IMU by SBG system and IG-500, this unit has an embedded processing Device, for exporting the posture and position data of filtering;The controller unit 3 is the PD control device for having 3 SISD based on one, The chipset maximal criterion of its Digilent for processing plate is used to read signal;Controller unit 2 is exported from sensor unit 2 to be believed Serial information is read with MAX32 in number, instructs servo motor 106, driving motor 107 and steering engine 109 by issuing pwm signal;
Pass through Spektrum satellite reception between receiving module 602 and ground control station 7 in the wireless communication module 6 Device and DX6i RC transmitter are communicated.
The absolute revolving speed of the output shaft of the driving motor be angular speed of the aircraft on tri- directions XYZ, steering engine and The physical features of the sum of the vector of servo motor revolving speed, four support arms of aircraft are consistent, and a support arm is taken to carry out stress point Analysis, the absolute revolving speed of the output shaft of driving motor
Angular acceleration is
Vector in formulaThe unit vector for indicating reference system j, is indicated with reference system i;P, q and r respectively indicates flight Angular speed of the device on tri- directions reference frame XYZ;η and γ indicates the tilt angle of twin shaft when servo motion;η ' γ ' table The angular speed that verts of twin shaft when showing servo motion;Ω is expressed as the revolving speed of driving motor;
Utilize Eulerian equation3M=3I3α+3ω×3I3ω (formula 3) calculates the torque for acquiring driving motor output shaft3M, Then spin matrix R is utilized3to1Calculate the torque for acquiring the aircraft itself in referential1MGvro, its calculation formula is:
The thrust torques of link mechanism are as follows:
L is the length of parallelogram mechanism in formula;H is the height of parallelogram mechanism;
The thrust and torque coefficient of rotor is defined as:
T=ρ A (Ω R)2CT(6) and Q=ρ A (Ω R)2RCQ(formula 7);
C in formulaTAnd CoFor link mechanism thrust and torque coefficient.
Then aircraft gross thrust torque are as follows:
Aircraft absolute stress condition on six-freedom degree are as follows:
X, Y and Z are expressed as absolute active force of the aircraft on XYZ axis in formula;L, M and N is expressed as flying Absolute opplied moment of the device on XYZ axis;U, v and w is expressed as the whole angular speed on XYZ axis of aircraft;Aircraft Absolute angular speed in comprehensive stress condition, on three directions of XYZ coordinate axis are as follows:
Φ ', θ ' and Ψ ' are expressed as absolute angular speed of the aircraft on three directions of XYZ coordinate axis in formula;Φ For the angle of aircraft fuselage central axis and longitudinal axis Z axis;θ is projection line and X-axis of the aircraft fuselage central axis on X/Y plane Angle.
Embodiment:
For aircraft in turning flight posture, controller unit controls leaning device, and servo motor drives support arm rotation So that rotor vertically verts by the direction perpendicular to support arm, steering engine is swung through link mechanism driving motor fixing seat, makes rotor It is outwardly or inwardly verting at plane where fuselage, the lift outbound course of change of flight device sends out the flight attitude of aircraft It is raw to change.

Claims (9)

1. a kind of bi-axial tilt quadrotor, it is characterised in that: the fuselage (1) of the aircraft includes uniformly being set to fuselage All multiple power arms at, and sensor unit (2), controller unit (3), control dispenser unit at fuselage (4), vehicle dynamics system module (5), wireless communication module (6);The wireless communication module can be built with ground control station (7) Vertical wireless telecommunications;
The power arm includes rotor (108) and leaning device (115);The rotor is fixed with the motor supported by leaning device Driving motor (107) driving at seat (105);The leaning device is connected with controller unit;The controller unit is through inclining Oblique mechanism adjusts rotor position and rotor towards the flight to adjust aircraft.
2. a kind of bi-axial tilt quadrotor according to claim 1, it is characterised in that: the power arm quantity is Four.
3. a kind of bi-axial tilt quadrotor according to claim 1, it is characterised in that: the leaning device is to prop up Brace (103) beginning is connected with servo motor at fuselage (106), is hinged with support arm end and the middle part of motor fixing seat;Institute Servo motor driving support arm rotation is stated so that rotor verts;The fixation for fixing steering engine (109) is equipped at the support arm Block (111);The steering engine is connected through link mechanism (104) with the lower end of motor fixing seat, and the steering engine drives through link mechanism Motor fixing seat swing makes rotor generate yaw forces.
4. a kind of bi-axial tilt quadrotor according to claim 3, it is characterised in that: the link mechanism is flat Row quadrangular mechanism;The inclination angle alpha of the rotor can be adjusted between 0 ° and 90 °, inclination angle alpha can for 0 ° but It cannot be 90 °.
5. a kind of bi-axial tilt quadrotor according to claim 3, it is characterised in that: the fuselage further included Fall frame (101) and electrical compartment (102);It is equipped in the electrical compartment gravity sensor (112), gyroscope (113), distant Feel (114) and several batteries (116);The output shaft and flight support arm of the servo motor and electrical compartment (102) Contact position is attached by bearing (110).
6. a kind of bi-axial tilt quadrotor according to claim 5, it is characterised in that: the sensor unit (2) the connection work being responsible between sensor unit and controller unit (3), the metrical information of receiving sensor unit will simultaneously connect The metrical information received, which is for conversion into electric signal according to certain rules and exports, gives controller unit (3);The controller unit (3) is complete At carried out after the transmission information of receiving sensor unit (2) and wireless communication module (5) it is corresponding processing and issue control command Signal;
Control dispenser unit (4) completes sharing out the work for the control command signal of controller unit (3), will receive control The command information of device unit (3) processed carries out orderly distributing to four servo motors (106) of aircraft, four driving motors (107) and four steering engines (109), the adjustment of state of flight is realized;
The vehicle dynamics system module (5) includes actuator unit (501) and sensor unit (502), sensor unit It (502) include gravity sensing module (503), perturbation induction module (504), gravity sensor (111), gyroscope (113), remote sensing (114), the instruction of control dispenser unit (4) is executed, vehicle dynamics system module carries out real by sensor unit (502) Shi Chongli and perturbation external force measure and feed back to controller unit (3) to form closed-loop system;
The wireless communication module (6) includes transmitting module (601) and receiving module (602), the transmitting module (601) and is connect The operating mode for receiving module (602) can while be converted mutually and non-interference, transmitting module (602) and controller unit (3) Be connected, between receiving module (602) and ground control station (7) wirelessly communication contact so that the ground control station (7) Orientation is executed to aircraft and instructs operation.
7. a kind of bi-axial tilt quadrotor according to claim 6, it is characterised in that: the sensor unit (2) it is an IMU by SBG system and IG-500, this unit has an embeded processor, for exporting the posture of filtering And position data;The controller unit (3) is the PD control device for having 3 SISD based on one, processes the Digilent of plate Chipset maximal criterion be used to read signal;Controller unit (2) is read from sensor unit (2) output signal with MAX32 Serial information is taken, by issuing pwm signal instruction servo motor (106), driving motor (107) and steering engine (109);
It is connect between receiving module (602) and ground control station (7) in the wireless communication module (6) by Spektrum satellite It receives device and DX6i RC transmitter is communicated.
8. a kind of bi-axial tilt quadrotor according to claim 3, it is characterised in that: the driving motor it is defeated The absolute revolving speed of shaft is angular speed, steering engine and the vector of servo motor revolving speed the sum of of the aircraft on tri- directions XYZ, is flown The physical features of four support arms of row device are consistent, take a support arm carry out force analysis, the output shaft of driving motor it is exhausted To revolving speed
Angular acceleration is
Vector in formulaThe unit vector for indicating reference system j, is indicated with reference system i;P, q and r respectively indicate aircraft Angular speed on tri- directions reference frame XYZ;η and γ indicates the tilt angle of twin shaft when servo motion;η ' γ ' is indicated The angular speed that verts of twin shaft when servo motion;Ω is expressed as the revolving speed of driving motor;
Utilize Eulerian equation3M=3I3α+3ω×3I3ω (formula 3) calculates the torque for acquiring driving motor output shaft3M, then Utilize spin matrix R3to1Calculate the torque for acquiring the aircraft itself in referential1MGyro, its calculation formula is:
The thrust torques of link mechanism are as follows:
L is the length of parallelogram mechanism in formula;H is the height of parallelogram mechanism;
The thrust and torque coefficient of rotor is defined as:
T=ρ A (Ω R)2CT (6) and Q=ρ A (Ω R)2RCQ(formula 7);
C in formulaTAnd CQFor link mechanism thrust and torque coefficient.
Then aircraft gross thrust torque are as follows:
9. a kind of bi-axial tilt quadrotor according to claim 8, it is characterised in that: aircraft is in six freedom Absolute stress condition on degree are as follows:
X, Y and Z are expressed as absolute active force of the aircraft on XYZ axis in formula;L, M and N is expressed as aircraft and exists Absolute opplied moment on XYZ axis;U, v and w is expressed as the whole angular speed on XYZ axis of aircraft;Aircraft is comprehensive When closing stress condition, the absolute angular speed on three directions of XYZ coordinate axis are as follows:
Φ ', θ ' and Ψ ' are expressed as absolute angular speed of the aircraft on three directions of XYZ coordinate axis in formula;Φ is winged The angle of row device fuselage central axis and longitudinal axis Z axis;θ is the folder of projection line and X-axis of the aircraft fuselage central axis on X/Y plane Angle.
CN201910382221.2A 2019-05-09 2019-05-09 Double-shaft tilting four-rotor aircraft Active CN110015415B (en)

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