CN111650836A - Control method for dynamically gliding and grabbing object based on operation flying robot - Google Patents
Control method for dynamically gliding and grabbing object based on operation flying robot Download PDFInfo
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Abstract
The invention relates to a control method for dynamically gliding and grabbing an object based on an operation flying robot, which comprises the following steps: step S1: considering the gravity center shift, constructing a four-rotor unmanned aerial vehicle system model carrying a mechanical arm and a two-degree-of-freedom manipulator model; step S2: calculating the contact force and the friction force applied to the tail end of the manipulator by analyzing the instant contact between the manipulator and the object; step S3: decoupling the attitude, and calculating the rolling angle required by the unmanned plane flying according to the target trackPitch angle thetadLifting force and dynamic model integration are carried out; step S4: introducing a stable reference model, calculating an error dynamic model of the system, designing a robust adaptive controller by considering the rotary inertia of the flying robot as a bounded variable in the controller, and calculating the lifting force and the input moments of rolling, pitching and yawing of the system; step S5: by lift, rolling moment, pitching momentAnd the yaw moment calculates the rotating speeds of the four rotors.
Description
Technical Field
The invention relates to the technical field of unmanned aerial vehicles, in particular to a control method for dynamically gliding and grabbing an object based on an operation flying robot.
Background
The unmanned aerial vehicle realizes the unmanned mode from remote control driving to the onboard computer automatic control. Unmanned aerial vehicles are mature flight platforms, and can carry different components on the flight platforms to expand the application of the flight platforms in different fields. For example, the fields of aerial survey, pesticide spraying, target tracking and the like have the potential of unmanned aerial vehicle application. Wherein, these applications need not carry on the arm on the unmanned aerial vehicle platform, combine the two just operation type flying robot, and the equipment of so high-end can make industry obtain very big facility. With the deepening of researchers in the field, the application of unmanned aerial vehicles carrying mechanical arms in practice is realized by scholars. The operation type flying robot with the 7-degree-of-freedom mechanical arm can flexibly complete grabbing and assembling operations; visual servo control is added on the operation type flying robot system, and an autonomous grabbing task can be completed; the tail end of a mechanical arm of the operation type flying robot is contacted with an object to replace a force sensor to finish contact force measurement work; and a parallel operation type flying robot system is adopted, so that better bionic work can be realized.
These applications all have a flight grabbing action. And the technical difficulty of grabbing by the command flight needs to be overcome. The grabbing mode is the problem to be solved firstly by the control engineering. The bionic object gliding grabbing object is one of the hot spots of the current research, the gliding grabbing object can generate larger impact force to generate larger influence on a flight platform, and if the flight speed is too high or the grabbed object is too heavy, the flight platform can deviate from a planned position and even be out of control.
For the problem of the work-type flying robot grasping an object, many scholars have made control methods. For example, the tail end of a mechanical arm of a working type flying robot is contacted with an object to replace a force sensor to complete contact force measurement work; separately establishing flight platform and mechanical arm dynamics models, using H∞The control method controls the gripped object. Most of the control methods can only grab objects with small mass, and large errors and even out of control can be generated when the objects grab large objects.
Disclosure of Invention
In view of this, the invention aims to provide a control method for dynamically gliding and grabbing an object based on an operation flying robot, which can effectively improve the grabbing control precision of an unmanned aerial vehicle.
In order to achieve the purpose, the invention adopts the following technical scheme:
a control method for dynamically gliding and grabbing an object based on a working flying robot comprises the following steps:
step S1: considering the gravity center shift, constructing a four-rotor unmanned aerial vehicle system model carrying a mechanical arm and a two-degree-of-freedom manipulator model;
step S2: calculating the contact force F borne by the tail end of the manipulator by analyzing the instantaneous contact between the manipulator and the objectsAnd frictional force F2;
Step S3: decoupling the attitude, and calculating the target trajectory d of the unmanned aerial vehicleTRoll angle required for flightPitch angle thetadAnd lift u1And integrating the dynamic model;
step S4: introducing a stable reference model, calculating an error dynamic model of the system, designing a robust adaptive controller by considering the rotary inertia of the flying robot as a bounded variable in the controller, and calculating the lifting force of the system and the input moments u of rolling, pitching and yawingi,i=1,2,3,4;
Step S5: by a lifting force u1Rolling moment u2Pitching moment u3Yaw moment u4Solve the rotational speed omega of four rotorsi,i=1,2,3,4;
Step S6: and controlling the unmanned aerial vehicle through the resolved data.
Further, it specifically is to establish the four rotor unmanned aerial vehicle system models who carries on the arm: modeling a four-rotor unmanned aerial vehicle system carrying the mechanical arm by using a Newton-Euler equation method, and obtaining the model according to force balance and moment balance:
wherein F is the external force applied to the system, M is the external moment applied to the system, M is the total mass of the system, and rGFor the position of the centre of gravity offset in the coordinate system of the unmanned aerial vehicle platform, r0The position of the unmanned aerial vehicle platform in the world coordinate system, B is the driving force of the system, omega is the angular velocity vector of the unmanned aerial vehicle platform in the world coordinate system, I is the inertia tensor of the system,meaning that one differentiation is made on omega,represents a pair of r0Carrying out secondary differentiation;
wherein M (q),And G (q) are system variables relating to moment of inertia, mass, and rotational speed of the robot, respectively, qiIs the rotational speed, τ, of the robot iiIs the input torque of the manipulator i.
Further, the step S2 is specifically:
step S21, at the moment when the operation type flying robot grabs the object, the following can be obtained by the momentum theorem:
mv1=(m+m4)v2(3)
wherein: m is4As mass of object to be gripped, v1Velocity before impact, v2Is the velocity after the collision;
step S22: calculating impulse generated in the motion process by using impulse theorem;
wherein t is the time required for a collision;
step S23: the combined type (3) and (4) calculate the contact force generated by collision:
wherein xeIs the displacement of the tail end of the manipulator;
step S24: the force generated by friction on the manipulator is derived from newton dynamics of motion:
step S25: further, the resultant force of the operation type flying robot in the grabbing process is as follows:
step S26: calculating the force F transmitted from the tail end of the mechanical arm to the unmanned aerial vehicle flight platform by adopting a Jacobi matrix methodBSum moment MBComprises the following steps:
wherein: c. C1=cos(q1),c2=cos(q2),s1=sin(q1),s2=sin(q2)。
Further, the step S3 is specifically:
and S31, designing a virtual control quantity according to the stress analysis obtained in the step S2:
wherein: phi is ad、θdAnd psidThe expected values of the yaw angle, the roll angle and the pitch angle of the flight platform are obtained;
step S32: according to the virtual control quantity, obtaining a target track dTRoll angle required for flightPitch angle thetadAnd lift u1:
Step S33: and (3) combining the formulas (1) to (10), obtaining an overall dynamic model of the operation type flying robot as follows:
Fij=-Fiajsin(qj),Eij=-Eiajcos(qj),i=1,3,5,j=1,2。
further, the step S4 specifically includes the following steps:
step S41: defining an expected vector χd=[xd,yd,zd,φd,θd,ψd,q1d,q2d]TDefining a stable reference model as follows:
wherein a and b are defined constants, and r is a system input instruction;
step S42: defining an error tracking vector:
e=χ-χd(13)
step S43: obtained by the formulae (11) to (13):
step S45: in order to make the lyapunov function positive and the first order differential lyapunov semi-negative, a robust adaptive controller is designed as follows:
u=k+k0+k1+τ1(16)
step S46: tau is1In order to design an adaptive controller, the following requirements are met:
further, the step S5 is specifically:
step S51: from equation (16), the system control force and control torque u can be derived, u1、u2、u3And u4The relationship of (1) is:
u1=C1(ω1 2+ω2 2+ω3 2+ω4 2)
u2=C1(-ω2 2+ω4 2),u3=C1(-ω1 2+ω3 2)
u4=C2(ω1 2-ω2 2+ω3 2-ω4 2)
(17)
step S52: solving the rotation speed omega of four rotorsi,i=1,2,3,4。
Compared with the prior art, the invention has the following beneficial effects:
the invention constructs a dynamic model based on instantaneous contact force and friction force, adopts an integrated control strategy of a manipulator and a flying robot, and can complete the task of gliding grabbing; in order to eliminate the micro disturbance of the mechanical arm motion and the real-time change of the rotation variable on a dynamic system, a robust control method based on an interval matrix is adopted; aiming at the large disturbance such as contact force and friction force generated in the process of grabbing objects in gliding, a self-adaptive control method is designed, so that the control precision and the grabbing quality range of the unmanned aerial vehicle are improved, and the unmanned aerial vehicle has strong practicability and wide application prospect.
Drawings
Fig. 1 is a schematic view of a flight platform gliding capture according to an embodiment of the invention.
Fig. 2 is a schematic flow structure diagram according to an embodiment of the present invention.
Fig. 3 is a schematic diagram illustrating the control effect of the X-axis component in the position controller according to the embodiment of the present invention.
Fig. 4 is a schematic diagram illustrating the control effect of the Y-axis component in the position controller according to the embodiment of the present invention.
Fig. 5 is a schematic diagram illustrating the control effect of the Z-axis component in the position controller according to the embodiment of the present invention.
FIG. 6 shows the roll angle in the attitude controller according to the embodiment of the present inventionThe control effect of (1) is shown schematically.
Fig. 7 is a schematic diagram illustrating the effect of controlling the pitch angle θ in the attitude controller according to the embodiment of the present invention.
Fig. 8 is a schematic diagram illustrating the effect of controlling the roll angle ψ in the attitude controller according to the embodiment of the present invention.
Fig. 9 is a schematic diagram illustrating the control effect of the robot arm 1 in the robot controller according to the embodiment of the present invention.
Fig. 10 is a schematic view of the effect of controlling the robot arm 2 in the robot controller according to the embodiment of the present invention.
Detailed Description
The invention is further explained below with reference to the drawings and the embodiments.
Referring to fig. 2, the present invention provides a control method for dynamically gliding and grabbing an object based on a flying robot, comprising the following steps:
step S1: considering the gravity center shift, constructing a four-rotor unmanned aerial vehicle system model carrying a mechanical arm and a two-degree-of-freedom manipulator model;
in this embodiment the construction of a quadrotor unmanned aerial vehicle system model carrying a robot arm specifically comprises: modeling a four-rotor unmanned aerial vehicle system carrying the mechanical arm by using a Newton-Euler equation method, and obtaining the model according to force balance and moment balance:
wherein F is the external force applied to the system, M is the external moment applied to the system, M is the total mass of the system, and rGFor the position of the centre of gravity offset in the coordinate system of the unmanned aerial vehicle platform, r0The position of the unmanned aerial vehicle platform in the world coordinate system, B is the driving force of the system, omega is the angular velocity vector of the unmanned aerial vehicle platform in the world coordinate system, I is the inertia tensor of the system,meaning that one differentiation is made on omega,represents a pair of r0A second differentiation is performed.
Step S2: calculating the contact force F borne by the tail end of the manipulator by analyzing the instantaneous contact between the manipulator and the objectsAnd frictional force F2;
Step S21: as shown in fig. 1, the moment when the working flying robot grabs the object can be obtained by the momentum theorem:
mv1=(m+m4)v2(3)
wherein: m is m0+m1+m2+m3,m4As mass of object to be gripped, v1Velocity before impact, v2Is the velocity after the collision.
Step S22: calculating impulse generated in the motion process by using impulse theorem;
where t is the time required for the collision.
Step S23: the contact force generated by collision can be calculated by the joint type (3) and (4):
wherein xeIs the displacement of the end of the robot.
Step S24: from newton dynamics of motion, the force generated by friction on the manipulator can be found as:
step S25: therefore, the resultant force of the operation type flying robot in the grabbing process is as follows:
step S26: calculating the force F transmitted from the tail end of the mechanical arm to the unmanned aerial vehicle flight platform by adopting a Jacobi matrix methodBSum moment MBComprises the following steps:
wherein: c. C1=cos(q1),c2=cos(q2),s1=sin(q1),s2=sin(q2)。
Step S3: decoupling the attitude, and calculating the target trajectory d of the unmanned aerial vehicleTRoll angle required for flightPitch angle thetadAnd lift u1And integrating the dynamic model; the method comprises the following specific steps:
step S31: when the operation type flight platform is in the moment of gliding and grabbing the object, the virtual control quantity is designed according to the stress analysis obtained in the step S2 as follows:
wherein: phi is ad、θdAnd psidThe expected values of the yaw angle, the roll angle and the pitch angle of the flight platform.
Step S32: the target track d can be obtained by the virtual control quantity obtained by the controllerTRoll angle required for flightPitch angle thetadAnd lift u1:
Step S33: by combining the formulas (1) to (10), the overall dynamic model of the operation type flying robot can be obtained as follows:
Fij=-Fiajsin(qj),Eij=-Eiajcos(qj),i=1,3,5,j=1,2
step S4: introducing a stable reference model, calculating an error dynamic model of the system, designing a robust adaptive controller by considering the rotary inertia of the flying robot as a bounded variable in the controller, and calculating the lifting force of the system and the input moments u of rolling, pitching and yawingi,i=1,2,3,4;
In step S4, the needleThe method comprises the steps of carrying out integral robust self-adaptive control on the position and the attitude of a flight platform and a two-degree-of-freedom mechanical arm in a dynamic equation, introducing a control parameter k based on an interval matrix for the self-generated rotary inertia change of the flight platform, and introducing the self-adaptive control parameter k in the gliding grabbing process0、k1And τ1The method specifically comprises the following steps:
step S41: defining an expected vector χd=[xd,yd,zd,φd,θd,ψd,q1d,q2d]TDefining a stable reference model as follows:
where a and b are defined constants and r is a system input command.
Step S42: defining an error tracking vector:
e=χ-χd(13)
step S43: obtained by the formulae (11) to (13):
step S45: in order to make the lyapunov function positive and the first order differential lyapunov semi-negative, a robust adaptive controller is designed as follows:
u=k+k0+k1+τ1(16)
step S46: the lyapunov function is designed as follows:
A=A0+EaΣFa
wherein:
ζij=(aij M-aij m)/2,i,j=1,…,n
eithe ith column vector of the n × n-dimensional unit matrix Σ is a variable vector and for any Σ there is ΣTΣ≤1.
XTY+YTX≤α-1XTX+αYTY.
step S47: the first derivative of the Lyapunov function is obtained:
step S48: let B be B0+ E Σ F, according to theorem 1 and 2:
step S49: setting: rho is less than or equal to | br | |0,Law of design control Designing adaptive control ratesIt can be derived that:
Step S5: by a lifting force u1Rolling moment u2Pitching moment u3Yaw moment u4Solve the rotational speed omega of four rotorsiI is 1,2,3, 4; the method specifically comprises the following steps:
step S51: from equation (16), the system control force and control torque u can be derived, u1、u2、u3And u4The relationship of (1) is:
u1=C1(ω1 2+ω2 2+ω3 2+ω4 2)
u2=C1(-ω2 2+ω4 2),u3=C1(-ω1 2+ω3 2)
u4=C2(ω1 2-ω2 2+ω3 2-ω4 2)
(21)
wherein all constant terms except angular velocity collect a positive scalar parameter C1、C2;
Step S52: solving the rotation speed omega of four rotorsi,i=1,2,3,4。
Step S6: and controlling the unmanned aerial vehicle through the resolved data.
In this embodiment, referring to fig. 3 to fig. 10, the operation of the present invention will be described in detail with a specific application example, and the controller according to the control method of the present invention is further designed to mainly study the control and tracking effect when gliding and grasping the object under the influence of the friction force and the contact force.
The specific settings are as follows:
1) set to grab 0.5kg of object in the presence of friction and contact forces, and set the contact impact time short, 0.02 s:
2) in the simulation process, the time constant change of the moment of inertia is considered, and the influence of external disturbance on the flying platform is considered:
3) hardware parameters are shown in table 1:
TABLE 1 hardware parameters
As shown in fig. 3 to 10, the controller further designed according to the control method of the present embodiment can make the respective components of the position and attitude of the working type aircraft robot and the rotational speed of the robot follow the target trajectory with small fluctuations. And then the operation type flying robot moves under a small steady-state error. As can be seen in fig. 7, the pitch angle is clearly buffeting within 0.5 s. But the overshoot is small and the response time is short. The controller is still considered to be effective. Figures 3-10 demonstrate the effectiveness and advantages of the present invention.
The above description is only a preferred embodiment of the present invention, and all equivalent changes and modifications made in accordance with the claims of the present invention should be covered by the present invention.
Claims (6)
1. A control method for dynamically gliding and grabbing an object based on an operation flying robot is characterized by comprising the following steps:
step S1: considering the gravity center shift, constructing a four-rotor unmanned aerial vehicle system model carrying a mechanical arm and a two-degree-of-freedom manipulator model;
step S2: calculating the contact force F borne by the tail end of the manipulator by analyzing the instantaneous contact between the manipulator and the objectsAnd frictional force F2;
Step S3: decoupling the attitude, and calculating the target trajectory d of the unmanned aerial vehicleTRoll angle required for flightPitch angle thetadAnd lift u1And integrating the dynamic model;
step S4: introducing a stable reference model, calculating an error dynamic model of the system, designing a robust adaptive controller by considering the rotary inertia of the flying robot as a bounded variable in the controller, and calculating the lifting force of the system and the input moments u of rolling, pitching and yawingi,i=1,2,3,4;
Step S5: by a lifting force u1Rolling moment u2Pitching moment u3Yaw moment u4Solve the rotational speed omega of four rotorsi,i=1,2,3,4;
Step S6: and controlling the unmanned aerial vehicle through the resolved data.
2. The control method for dynamically gliding and grabbing an object based on a working flying robot according to claim 1, wherein the building of the robot-mounted quadrotor unmanned aerial vehicle system model is specifically as follows: modeling a four-rotor unmanned aerial vehicle system carrying the mechanical arm by using a Newton-Euler equation method, and obtaining the model according to force balance and moment balance:
wherein F is the external force applied to the system, M is the external moment applied to the system, M is the total mass of the system, and rGFor the position of the centre of gravity offset in the coordinate system of the unmanned aerial vehicle platform, r0The position of the unmanned aerial vehicle platform in the world coordinate system, B is the driving force of the system, omega is the angular velocity vector of the unmanned aerial vehicle platform in the world coordinate system, I is the inertia tensor of the system,meaning that one differentiation is made on omega,represents a pair of r0Carrying out secondary differentiation;
3. The control method for dynamically gliding and grabbing an object based on a flying robot as claimed in claim 1, wherein said step S2 is specifically:
step S21, at the moment when the operation type flying robot grabs the object, the following can be obtained by the momentum theorem:
mv1=(m+m4)v2(3)
wherein: m is4As mass of object to be gripped, v1Velocity before impact, v2Is the velocity after the collision;
step S22: calculating impulse generated in the motion process by using impulse theorem;
wherein t is the time required for a collision;
step S23: the combined type (3) and (4) calculate the contact force generated by collision:
wherein xeIs the displacement of the tail end of the manipulator;
step S24: the force generated by friction on the manipulator is derived from newton dynamics of motion:
step S25: further, the resultant force of the operation type flying robot in the grabbing process is as follows:
step S26: calculating the force F transmitted from the tail end of the mechanical arm to the unmanned aerial vehicle flight platform by adopting a Jacobi matrix methodBSum moment MBComprises the following steps:
wherein: c. C1=cos(q1),c2=cos(q2),s1=sin(q1),s2=sin(q2)。
4. The control method for dynamically gliding and grabbing an object based on a flying robot as claimed in claim 3, wherein said step S3 is specifically:
and S31, designing a virtual control quantity according to the stress analysis obtained in the step S2:
wherein: phi is ad、θdAnd psidThe expected values of the yaw angle, the roll angle and the pitch angle of the flight platform are obtained;
step S32: according to the virtual control quantity, obtaining a target track dTRoll angle required for flightPitch angle thetadAnd lift u1:
Step S33: and (3) combining the formulas (1) to (10), obtaining an overall dynamic model of the operation type flying robot as follows:
Fij=-Fiajsin(qj),Eij=-Eiajcos(qj),i=1,3,5,j=1,2。
5. the control method for dynamically gliding and grabbing an object based on a work flying robot as claimed in claim 4, wherein said step S4 specifically comprises the steps of:
step S41: defining an expected vector χd=[xd,yd,zd,φd,θd,ψd,q1d,q2d]TDefining a stable reference model as follows:
wherein a and b are defined constants, and r is a system input instruction;
step S42: defining an error tracking vector:
e=χ-χd(13)
step S43: obtained by the formulae (11) to (13):
step S45: in order to make the lyapunov function positive and the first order differential lyapunov semi-negative, a robust adaptive controller is designed as follows:
u=k+k0+k1+τ1(16)
step S46: tau is1In order to design an adaptive controller, the following requirements are met:
6. the control method for dynamically gliding and grabbing an object based on a flying robot as claimed in claim 5, wherein said step S5 is specifically:
step S51: from equation (16), the system control force and control torque u can be derived, u1、u2、u3And u4The relationship of (1) is:
u1=C1(ω1 2+ω2 2+ω3 2+ω4 2)
u2=C1(-ω2 2+ω4 2),u3=C1(-ω1 2+ω3 2)
u4=C2(ω1 2-ω2 2+ω3 2-ω4 2)
(17)
step S52: solving the rotation speed omega of four rotorsi,i=1,2,3,4。
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