惯性参数不确定的自由漂浮空间机器人自适应控制研究

针对自由漂浮空间机器人系统惯性参数不确定问题,提出一种笛卡儿空间内的自适应轨迹跟踪控制方法。采用扩展机械臂模型建立了自由漂浮空间机器人关节空间动力学方程,进而推导笛卡儿空间中的自由漂浮空间机器人动力学方程。在基于逆动力学法的自由漂浮空间机器人自适应控制器设计中,利用标称控制器离线固定控制参数与补偿控制器在线补偿方法,既可以保证惯量矩阵可逆,又可以使控制参数实时估计。采用Lyapunov方法的稳定性分析表明系统是稳定且渐进收敛的。最后,应用该控制方法对两杆平面自由漂浮空间机器人进行了仿真研究。仿真结果显示自由漂浮空间机器人末端执行器在笛卡儿空间具有良好的轨迹跟踪能力。     

参数不确定空间机械臂系统的增广自适应控制

讨论了载体位置与姿态均不受控制的漂浮基两杆空间机械臂系统的控制问题,为此对系统的运动学、动力学作了分析。结果表明 :结合系统动量守恒及动量矩守恒关系得到的系统广义Jacobi关系、以及系统的动力学方程将为系统惯性参数的非线性函数。证明了借助于增广变量法可以将增广广义Jacobi矩阵以及系统动力学方程表示为一组适当选择的惯性参数的线性函数。在此基础上,给出了系统参数未知时,空间机械臂末端抓手跟踪惯性空间期望轨迹的增广自适应控制方案。通过仿真运算,证实了方法的有效性。     

带有空间机械臂的航天器系统惯性参数辨识

针对航天器惯性参数在轨辨识问题,文章以空间机械臂为研究对象,建立了带有空间机械臂的航天器系统动力学模型,并进行了空间机械臂的动力学分析。通过规划一种复杂的空间机械臂的运动轨迹,对机械臂各关节施加合适激励的方法,使空间机械臂做充分可变构型运动。该运动会改变航天器系统的惯性分布,从而引起航天器系统速度变化。然后,通过ADAMS(Automatic Dynamic Analysis of Mechanical Systems,机械系统动力学自动分析)软件建模测量这些速度变化,计算出空间机械臂的惯性变化,进而基于动量和动量距守恒的方法建立线性回归方程。最后,通过应用递推最小二乘法解线性回归方程组,辨识出了航天器的惯性参数。仿真分析结果表明了所辨识的航天器惯性参数的有效性和准确性。     

具有时延的漂浮基空间机器人基于泰勒级数预测、逼近的改进非线性反馈控制

 探讨了本体位置与姿态均不受控的漂浮基空间机器人在时间延迟(简称时延)情况下惯性空间轨迹跟踪的控制问题.利用拉格朗日方法并结合系统动量守恒关系,分析、建立了漂浮基空间机器人完全能控形式的系统动力学模型及运动Jacobi关系.以此为基础,针对系统存在时延的情况,利用泰勒级数预测、逼近的方法,建立了适用于时延情况下控制系统设计的数学模型.利用该模型,提出了一种空间机器人在时延情况下的改进非线性反馈控制方案.然后运用Lyapunov第二类方法,结合范数以及图形分析的方法证明了在时延情况下整个闭环控制系统的渐近稳定性.文中提到的控制方案能够有效地克服系统存在时延的影响,控制漂浮基空间机器人末端爪手跟踪惯性空间的期望轨迹.系统数值仿真结果证明了上述控制方案的有效性与精确性.     

Fuzzy adaptive robust control for space robot considering the effect of the gravity

Space robot is assembled and tested in gravity environment, and completes on-orbit service（OOS） in microgravity environment. The kinematic and dynamic characteristic of the robot will change with the variations of gravity in different working condition. Fully considering the change of kinematic and dynamic models caused by the change of gravity environment, a fuzzy adaptive robust control（FARC） strategy which is adaptive to these model variations is put forward for trajectory tracking control of space robot. A fuzzy algorithm is employed to approximate the nonlinear uncertainties in the model, adaptive laws of the parameters are constructed, and the approximation error is compensated by using a robust control algorithm. The stability of the control system is guaranteed based on the Lyapunov theory and the trajectory tracking control simulation is performed. The simulation results are compared with the proportional plus derivative（PD） controller, and the effectiveness to achieve better trajectory tracking performance under different gravity environment without changing the control parameters and the advantage of the proposed controller are verified.     

机器人在轨装配无标定视觉伺服对准方法

针对在轨装配过程中机器人"手眼"关系无法进行有效标定及机器人系统和被操作物惯性参数不定的情况,在传统的无标定视觉伺服基础上设计了深度估计器,基于机器人和图像运动的测量数据在线估计目标特征的深度值,并在机器人关节控制环中设计滑模控制器实时控制机器人关节运动,根据反馈图像信息纠正系统误差完成对准跟踪,通过仿真验证了方法的有效性。所提的无标定视觉伺服对准方法使机器人在装配过程中免去了复杂的"手眼"关系的标定程序,克服了机器人系统及被操作物惯性参数不确定性给装配精度造成的影响,提高了"手眼协调"的鲁棒性,保证机器人能够在复杂的太空环境下完成在轨装配任务。     

Capture and detumbling control for active debris removal by a dual-arm space robot

Active debris removal (ADR) technology is an effective approach to remediate the proliferation of space debris, which seriously threatens the operational safety of orbital spacecraft. This study aims to design a controller for a dual-arm space robot to capture tumbling debris, including capture control and detumbling control. Typical space debris is considered as a non-cooperative target, which has no specific capture points and unknown dynamic parameters. Compliant clamping control and the adaptive backstepping-based prescribed trajectory tracking control (PTTC) method are proposed in this paper. First, the differential geometry theory is utilized to establish the constraint equations, the dynamic model of the chaser-target system is obtained by applying the Hamilton variational principle, and the compliance clamping controller is further designed to capture the non-cooperative target without contact force feedback. Next, in the post-capture phase, an adaptive backstepping-based PTTC is proposed to detumble the combined spacecraft in the presence of model uncertainties. Finally, numerical simulations are carried out to validate the feasibility of the proposed capture and detumbling control method. Simulation results indicate that the target detumbling achieved by the PTTC method can reduce propellant consumption by up to 24.11%.     

Adaptive variable structure tracking control for constrained robots

The problem of controller design for constrained robots with the consideration of computational efficiency is addressed. An efficient adaptive variable structure control algorithm based on a reduced dynamics formulation, is presented for trajectory tracking of an end-effector on a constrained surface with specified constraint forces. It is shown that the objective can be achieved without exact knowledge of robot dynamics and on-line calculation of nonlinear dynamic functions. The control algorithm is constructed with at most three control parameters to be adjusted adaptively, and that number is determined independently of the number of degrees of freedom of the robotic manipulators. A numerical example is presented to illustrate the developed method     

Variational method based robust adaptive control for a guided spinning rocket

In this paper, a robust adaptive controller is designed for a guided spinning rocket, whose dynamics presents the characteristics of pitch-yaw cross coupling, fast time-varying aerodynamics parameters and wide flight envelop. First, a coupled nonlinear six-degree-of-freedom equation of motion for a guided spinning rocket is developed, and the lateral acceleration motion is modeled as a control plant with time-varying matched uncertainties and unmodeled dynamics. Then, a robust adaptive control method is proposed by combining Bregman divergence and variational method to achieve fast adaption and maintain bounded tracking. The stability of the resulting closed-loop system is proved, and the ultimate bound and convergence rate are also analyzed. Finally, numerical simulations are performed for a single operating point and the whole flight trajectory to show the robustness and adaptability of the proposed method with respect to time-varying uncertainties and unmodeled dynamics.     

微小型直升机非线性鲁棒控制器设计

针对含有未建模动态的微小型直升机非线性模型,设计了基于反步法和自适应模糊系统的自主飞行控制器.该控制器包含两个回路:航迹控制外回路和姿态控制内回路.外回路通过旋转矩阵实现对内回路姿态的控制,而非传统的欧拉角或姿态四元数.控制器采用自适应Takagi-Sugeno(TS)模糊系统在线补偿系统未建模动态的影响,并利用反步法完成控制器综合.所设计的算法在确保整个控制系统稳定性的同时又可保证系统能够有效应对未建模动态的影响.系统仿真结果表明,在盘旋上升飞行模态下控制系统能够快速准确地跟踪预设轨迹,并且具有良好的鲁棒性能.     

Decentralized adaptive sliding mode control of a space robot actuated by control moment gyroscopes

An adaptive sliding mode control(ASMC) law is proposed in decentralized scheme for trajectory tracking control of a new concept space robot.Each joint of the system is a free ball joint capable of rotating with three degrees of freedom(DOF).A cluster of control moment gyroscopes(CMGs) is mounted on each link and the base to actuate the system.The modified Rodrigues parameters(MRPs) are employed to describe the angular displacements,and the equations of motion are derived using Kane's equations.The controller for each link or the base is designed separately in decentralized scheme.The unknown disturbances,inertia parameter uncertainties and nonlinear uncertainties are classified as a ‘‘lumped" matched uncertainty with unknown upper bound,and a continuous sliding mode control(SMC) law is proposed,in which the control gain is tuned by the improved adaptation laws for the upper bound on norm of the uncertainty.A general amplification function is designed and incorporated in the adaptation laws to reduce the control error without conspicuously increasing the magnitude of the control input.Uniformly ultimate boundedness of the closed loop system is proved by Lyapunov's method.Simulation results based on a three-link system verify the effectiveness of the proposed controller.     

Adaptive control and stabilization of elastic spacecraft

This work treats the question of large angle rotational maneuver and stabilization of an elastic spacecraft (spacecraft-beam-tip body configuration). It is assumed that the parameters of the system are completely unknown. An adaptive control law is derived for the rotational maneuver of the spacecraft. Using the adaptive controller, asymptotically decoupled control of the pitch angle of the space vehicle is accomplished, however this maneuver causes elastic deformation of the beam connecting the orbiter and tip body. For the stabilization of the zero dynamics (flexible dynamics), a stabilizer is designed using elastic mode velocity feedback. In the closed-loop system including the adaptive controller and the stabilizer, reference pitch angle trajectory tracking and vibration suppression are accomplished. Simulation results are presented to show the maneuver capability of the control system     

Control and stabilization of nonlinear uncertain elastic roboticarm

An approach is presented to the control of an uncertain nonlinear flexible robot arm (PUMA-type) with three rotational joints. The third link is assumed to be elastic. A torquer control law, which is a function of the trajectory error, is derived for controlling the joint angles. The knowledge of the system dynamics is not required for the derivation of the controller. This controller includes a reference model to generate command joint angle trajectories, and a dynamic system in the feedback path which requires only joint angle and rate for feedback. The torquer controller asymptotically decouples the elastic dynamics into two subsystems, representing the transverse vibration of the elastic link in two orthogonal planes. For the damping of the elastic vibration, a force control law using modal velocity feedback is synthesized. Simulation results are presented to show that the combination of the torque and force control law accomplishes reference joint angle trajectory tracking and elastic mode stabilization despite the uncertainty in the system     

基于摩擦补偿的空间机械臂关节高精度控制研究

空间机械臂关节具有大惯量、高精度的特点,针对空间机械臂关节低速、高精度控制要求,提出一种基于摩擦补偿的双位置闭环控制策略。建立了考虑摩擦和惯量变化等因素的一体化关节动力学模型,分析了全位置闭环系统的稳定性,在此基础上提出了一种基于双位置传感器信息的闭环伺服控制策略,并引入自适应率辨识未知摩擦和惯量变化,利用Lyapunov函数证明闭环系统的稳定性和跟踪误差的渐进收敛性。在测试平台上的试验结果表明,提出的空间机械臂一体化关节伺服控制策略能够有效地提高关节伺服控制精度和系统鲁棒性。     

Observer-based control for the platform of a tethered space robot

This paper addresses the attitude control problem of a space tethered robot platform in the presence of unknown external disturbance caused by a connecting elastic tether. The tether-generated unknown disturbance leads to tremendous challenges for attitude control of the platform. In this work, the perturbed attitude dynamics of the platform are derived with a consideration of the libration of the elastic tether, and then with the purpose of compensating the unknown disturbance, major attention is dedicated to develop a nonlinear disturbance observer based on gyros measurements, after which, an adaptive attitude scheme is proposed by combining the disturbance observer with a sliding mode controller. Finally, benefits from the observer based on an adaptive controller are validated by series of numerical simulations.     

基于后退设计的空间机器人系统的自适应控制

 结合后退设计方法和自适应控制理论,对载体姿态可控的空间机器人系统提出了一种自适应跟踪控制算法。当系统的惯性参数未知时,该算法可以保证空间机器人的手端跟踪误差渐近趋于零。和已有的算法相比,所提出的算法可以消除Lyapunov函数导数表达式中的交叉项,明显改善系统的跟踪性能。对平面两关节空间机器人的仿真结果证实了算法的有效性。     

空间绳系机器人捕获目标后的面内自适应回收方法

在空间绳系机器人(TSR)捕获目标星后,操作机构与目标星形成质量、惯量和系绳连接点位置等参数未知的组合体,且系绳长度、偏角与组合体姿态严重耦合,控制输入严格受限,回收控制十分困难。针对其回收难题,综合考虑系绳长度、系绳偏角与组合体姿态,利用拉格朗日法建立了轨道面内的动力学模型,并基于动态逆理论设计了一种自适应抗饱和回收控制方法。首先,在对组合体质量、惯量与系绳连接点进行在线估计的基础上,设计一种自适应动态逆回收控制器;然后,设计辅助变量对控制输入进行补偿,解决控制输入受限问题;最后进行仿真验证。仿真结果表明,在线估计器能够快速有效地估计组合体动力学参数,回收控制系统能够利用受限的控制输入克服抓捕时刻的系绳偏角和组合体姿态扰动,并沿设计的回收轨迹实现稳定有效回收。     

柔性臂空间机器人的一类运动学方程及轨迹规划

用柔性机械臂连杆末端的弹性变形以及变形角度来表示空间机器人柔性臂的弹性运动变量,克服了用无穷维振动模态变量来表示弹性变形给系统运动学建模带来的困难;基于广义雅可比矩阵的思想,建立了柔性臂空间机器人"双广义雅可比矩阵"形式的运动学模型,该运动学模型描述了柔性臂弹性变形对空间机器人的运动影响;以运动学方程为基础,设计了柔性臂空间机器人的惯性空间内连续轨迹规划算法。仿真表明,规划的机械臂关节运动规律可以补偿柔性连杆振动给机械臂末端位置带来的影响,使机械臂末端位置准确沿着期望的轨迹运动。     

Backstepping design of missile guidance and control based on adaptive fuzzy sliding mode control

This paper presents an integrated missile guidance and control law based on adaptive fuzzy sliding mode control. The integrated model is formulated as a block-strict-feedback nonlinear system, in which modeling errors, unmodeled nonlinearities, target maneuvers, etc. are viewed as unknown uncertainties. The adaptive nonlinear control law is designed based on backstepping and sliding mode control techniques. An adaptive fuzzy system is adopted to approximate the coupling nonlinear functions of the system, and for the uncertainties, we utilize an online-adaptive control law to estimate the unknown parameters. The stability analysis of the closed-loop system is also conducted. Simulation results show that, with the application of the adaptive fuzzy sliding mode control, small miss distances and smooth missile trajectories are achieved, and the system is robust against system uncertainties and external disturbances.     

机翼颤振的鲁棒自适应切换控制

将机翼颤振问题对应的气动伺服弹性系统动态,看做沿飞行轨迹或特定飞行动作的若干模型的连续切换,引入切换系统描述其包线内的动态特性。进而,基于多Lyapunov函数方法和模型参考自适应控制(MRAC)理论,提出一种机翼颤振鲁棒自适应切换控制方案。该方案允许不同速度设计点的模型及对应控制器进行快速切换,以全面覆盖飞行包线内的系统动态,获得良好的机翼颤振主动抑制效果,有效规避自适应控制需要参数缓慢变化的缺陷。同时,构建Lure-Postnikov形式的Lyapunov函数,采用多Lyapunov函数方法,以线性矩阵不等式的形式,推导闭环切换系统为有界MRAC系统的充分条件,确保飞行包线内颤振抑制的全局稳定性。