时延下遥操作机器人系统H_∞鲁棒控制研究

针对遥操作机器人系统通信通道中存在时延以及系统模型存在不确定性而可能造成系统不稳定和操作性能降低的问题,采用了H∞混合灵敏度鲁棒控制的方法设计主从机械手的控制器.首先概括的介绍了系统的构成及动力学模型,然后针对控制器设计中加权函数选择较困难的问题,研究了一种较实用的加权函数选择方法,并采用MATLAB鲁棒控制工具箱进行了控制器设计,最后给出了系统在随机时延环境下Simulink的仿真结果.结果表明系统在受扰和通信信道存在随机时延的情况下,仍具有良好的鲁棒稳定性和跟踪性能.     

一类时变时延网络控制系统的鲁棒容错控制

针对一类具有时变时延的不确定网络控制系统,研究存在执行器失效情况的系统鲁棒容错控制问题.基于完整性容错控制思想和李亚普诺夫时延依赖稳定理论,给出了系统对执行器失效具有完整性的充分条件,设计了鲁棒容错控制器.仿真结果表明,该控制器不仅能保证系统鲁棒渐近稳定,而且使系统具有良好的动态性能.     

具有通信约束的网络控制系统动态调度与H∞控制协同设计

针对一类具有通信约束的随机时延网络控制系统,提出一种基于试一次丢弃(try-once-discard,TOD)动态调度策略与鲁棒H∞控制器协同设计的方法.考虑通信约束和随机时延的影响,将系统建模为一类具有参数不确定性的离散切换系统,并采用切换系统和Lyapunov稳定性理论,给出了TOD调度策略下使闭环系统渐近稳定的鲁棒H∞控制器设计方法.最后通过仿真验证了方法的有效性.     

遥操作机器人系统的稳定性研究

遥操作机器人系统由于系统模型的不确定性以及长距离通讯造成的时延,使系统稳定性能变差、透明度下降.本文利用时间前向观测器来推算从机械手的状态,通过对位置、速度和力的反馈参数的设计消除时延对系统的影响.通过仿真验证了所设计的控制器,既可以使系统渐近稳定,又使系统具有良好的透明性.     

鲁棒观测器-控制器的设计*

本文讨论了多变量系统参数摄动下鲁棒观测器-控制器的设计方法,并给出了带观测器-控制器闭环系统的鲁棒稳定条件。     

变采样网络控制系统的鲁棒控制

对于线性时不变控制对象,在控制器和控制对象都采用时间-事件驱动时系统就变成便采样网络控制系统,当网络时延不确定时,在小于或者等于一个变采样周期时,基于动态输出反馈对变采样网络控制系统进行建模,使用李雅普诺夫方法和线性矩阵不等式研究了系统的鲁棒稳定性,并设计了鲁棒控制器,最后给出实例证明在鲁棒控制器的控制下系统稳定。     

基于波变量的时延双边遥操作系统设计

针对波变量法在任意时延下能保证时延双边遥操作系统的稳定,但却降低主从端之间跟踪性的问题,提出一种改进基于波变量遥操作系统的设计方案;该方案引入PD控制器调整主从端速度误差,并采用PI控制器控制从端;最后,对调整和未调整的基于波变量双边遥操作系统分别进行仿真实验;实验结果表明,与未调整的系统相比,调整的系统在一定程度上极大地降低了主从端位置、速度和力的跟踪误差,使得该方案在保证系统稳定的前提下有效提高了系统透明性。     

非线性不确定中立型系统的鲁棒H∞控制

考虑系统外界干扰、系统参数摄动等非线性扰动环节对中立型时滞系统的H∞影响,提出基于Lyapunov稳定性理论的鲁棒H∞控制器的设计思想.利用线性矩阵不等式(LMI)方法,给出了该类具有状态非线性不确定性中立型时滞系统的鲁棒∞控制器的设计实例.在非线性不确定函数满足增益有界的条件下,得到了该类时滞系统满足鲁棒∞性能的一个充分条件.通过求解一个线性矩阵不等式LMI,即可获得鲁棒∞控制器.仿真结果表明了基于Lyapunov稳定性理论,LMI技术设计的控制器克服了系统外界非线性干扰或系统本身非线性参数摄动的影响,实现了闭环系统的H∞性能条件下的渐近稳定,满足了该系统鲁棒H∞控制的要求.     

大时延力反馈双边控制系统

阐述了力反馈双边控制遥操作的基本思想,讨论了其稳定性和透明性,介绍了一种既能保证稳定性、又能提高透明性的力反馈双边控制方法．最后给出了力反馈遥操作实验系统的实现,在6s时延条件下成功完成了曲面跟踪任务．     

基于Internet的遥操作系统带观测器的反馈控制

通常遥操作系统主、从机械手间存在通信时延,影响了系统的稳定性和操作性能.在基于Internet的遥操作系统中,时延是时变的,对系统的影响尤为剧烈.为了解决这个问题,在环境模型未知的条件下,首先提出在本地控制端用主手状态、预测的从手状态及接触力设计反馈控制器;接着用时间前向观测器预测从机械手的状态,并将时延变化率建模为系统不确定参数,最终得到稳定性和透明性条件.仿真结果表明了该方法的有效性.     

Control of Markovian jump discrete-time systems with norm boundeduncertainty and unknown delay

This paper studies the problem of control for discrete time delay linear systems with Markovian jump parameters. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and unknown time delay in the state, and Markovian jump parameters in all system matrices. We address the problem of robust state feedback control in which both robust stochastic stability and a prescribed H_∞ performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a set of coupled linear matrix inequalities has a solution     

典型二阶积分对象的新型控制策略

针对工业控制中常见的一类具有时滞的二阶积分对象,根据内模控制原理,提出一种新型控制策略。在该结构中,由参考模型来实现系统期望的设定值跟随响应特性,利用内模控制鲁棒性强的特点来抑制参数变化和干扰对系统的影响,从而使系统获得良好的干扰抑制特性和鲁棒性。调节参考模型参数和内模控制器参数,可使系统同时具有良好的设定值跟随特性和干扰抑制特性。仿真结果表明了方法的优越性。     

Robust Hinfinity state feedback control of discrete time-delay linear systems with norm-bounded uncertainty

This paper studies, via a linear matrix inequality approach, the problem of Hinfinity control for discrete time-delay linear systems with parametric uncertainty. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and time delay in the state. First, the problem of robust stability of the underlying system is investigated. Next, we address the problem of robust Hinfinity state feedback control in which both robust stability and a prescribed Hinfinity performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a linear matrix inequality has a symmetric positive definite solution.     

Robust stability analysis for fractional‐order systems with time delay based on finite spectrum assignment

In this paper, the robust stability of a fractional‐order time‐delay system is analyzed in the frequency domain based on finite spectrum assignment (FSA). The FSA algorithm is essentially an extension of the traditional pole assignment method, which can change the undesirable system characteristic equation into a desirable one. Therefore, the presented analysis scheme can also be used as an alternative time‐delay compensation method. However, it is superior to other time‐delay compensation schemes because it can be applied to open‐loop poorly damped or unstable systems. The FSA algorithm is extended to a fractional‐order version for time‐delay systems at first. Then, the robustness of the proposed algorithm for a fractional‐order delay system is analyzed, and the stability conditions are given. Finally, a simulation example is presented to show the superior robustness and delay compensation performance of the proposed algorithm. Moreover, the robust stability conditions and the time‐delay compensation scheme presented can be applied on both integer‐order and fractional‐order systems.     

Enhancement of robust performance for fuzzy parametric uncertain time‐delay systems using differential evolution algorithm

This paper proposes a systematic methodology for the enhancement of robust stability and performance of a fuzzy parametric uncertain time‐delay system. A fuzzy parametric uncertain time‐delay system is an example for a linear time‐invariant uncertain time‐delay system with fuzzy coefficients. By using the nearest approximation, these fuzzy coefficients are approximated into crisp sets called intervals to get an interval system. The proposed approach develops the necessary and sufficient stability conditions of interval polynomials for determining the robust stability. Then, by using these developed stability conditions, a set of inequalities in terms of controller parameters are obtained from the closed‐loop characteristic polynomial of fuzzy parametric uncertain time‐delay system. Finally, these inequalities are solved to obtain robust controller with the help of a differential evolution algorithm for an unstable fuzzy parametric uncertain time‐delay system. Consequently, a lead‐lag compensator is constructed based on the frequency domain approach to improve the performance of the fuzzy parametric uncertain time‐delay system. The proposed method has the advantage of less computational complexity and easy to implement on a digital computer. The viability of the proposed methodology is illustrated through a numerical example for its successful implementation. The efficacy of the proposed methodology is also evaluated against the available approach in the literature and the simulation results are successfully implemented for robust stability and performance of fuzzy parametric uncertain time‐delay systems.     

Force Reflecting Bilateral Control of Master–Slave Systems in Teleoperation

In this paper, a simple structure design with arbitrary motion/force scaling to control teleoperation systems, with model mismatches is presented. The goal of this paper is to achieve transparency in presence of uncertainties. The master–slave systems are approximated by linear dynamic models with perturbed parameters, which is called the model mismatch. Moreover, the time delay in communication channel with uncertainties is considered. The stability analysis will be considered for two cases: (1) stability under time delay uncertainties and (2) stability under model mismatches. For the first case, two local controllers are designed. The first controller is responsible for tracking the master commands, while the second controller is in charge of force tracking as well as guaranteeing stability of the overall closed-loop system. In the second case, an additional term will be added to the control law to provide robustness to the closed-loop system. Moreover, in this case, the local slave controller guarantees the position tracking and the local master controller guarantees stability of the inner closed-loop system. The advantages of the proposed method are two folds: (1) robust stability of the system against model mismatches is guaranteed and (2) structured system uncertainties are well compensated by applying independent controllers to the master and the slave sites. Simulation results show good performance of the proposed method in motion tracking as well force tracking in presence of model mismatches and time delay uncertainties.     

挠性飞行器姿态稳定鲁棒变结构控制

针对三轴稳定卫星的模型参数存在不确定性,设计了一种鲁棒变结构控制器,它能确保系统在一定条件下具有全局渐近稳定性,并且系统在一定条件下能在有限的时间内到达滑动平面,具有鲁棒到达条件,同时控制律实现简单,采用积分型滑动平面,能保证系统在到达滑动平面后具有良好的性能,最后根据卫星参数给出了具体的数值算例,数值仿真结果良好,从数值仿真结果来看控制器在存在较大不确定性情况下（考虑系统转动惯量有5％的不确定性）依然保持良好性能,具有很强的鲁棒稳定性,而且,采用边界层改进控制器后,能有效地解决抖振问题,同时控制器的性能基本保持不变,说明鲁棒变结构控制器的设计是有效的。     

A novel adaptive robust control architecture for bilateral teleoperation systems under time‐varying delays

Bilateral teleoperation technology has caused wide attentions due to its applications in various remote operation systems. The communication delay becomes one of the main challenging issues in the teleoperation control design. Meanwhile, various nonlinearities, parameter variations, and modeling uncertainties existing in manipulator and environment dynamics need to be considered carefully in order to achieve good control performance. In this paper, a globally stable nonlinear adaptive robust control algorithm is developed for bilateral teleoperation systems to deal with these control issues. Namely, the unknown dynamical parameters of the environmental force are estimated online by the improved least square adaptation law. A novel communication structure is proposed where only the master position signal is transmitted to the slave side for the tracking design, and the online estimators of the environmental parameters are transmitted from the slave to the master to replace the traditional environmental force measurement. Because the estimated environmental parameters are not power signals, the passivity problem of the communication channel and the trade‐off limitation between the transparency performance and robust stability in traditional teleoperation control are essentially avoided. The nonlinear adaptive robust control is subsequently developed to deal with nonlinearities, unknown parameters, and modeling uncertainties of the master, slave, and environmental dynamics, so that the guaranteed transient and steady‐state transparency performance can be achieved. The experiments on two voice‐coil motor‐driven manipulators are carried out, and the comparative results verify that the proposed control algorithm achieves the excellent control performance and the guaranteed robust stability simultaneously under time delays. Copyright © 2014 John Wiley & Sons, Ltd.     

积分加纯滞后系统的双预测PI控制及其应用

Smith预估控制器控制积分加大纯滞后过程时,鲁棒稳定性差,输出存在静态余差,无实际应用价值.提出了一类基于该过程的双预测PI控制器:具有内环和外环两种预测PI控制器.内环将系统稳定,外环消除输入干扰的影响和改善控制系统的动态性能.这种控制器结构简单,可调参数少,参数的调节方便、直观.仿真和实际应用表明:在干扰和模型失配的情况下,此类控制器仍然具有良好的控制性能和鲁棒稳定性能,是一种值得在实际工程中推广应用的新型控制器.     

高阶时滞过程预测PID控制器设计及鲁棒稳定性分析

针对高阶加滞后对象稳定性分析的局限性,提出了预测PID控制器的设计方法,利用Kharitonov定理和边缘理论分析此系统在参数不确定情况下输入、输出的鲁棒稳定性,并给出了系统保持稳定的最大过程参数区间。仿真结果表明,当过程参数偏离标称值时,此类预测PID控制器的设计方法能够使系统保持很好的控制性能和鲁棒稳定性能。是一种值得在实际工程中推广应用的新型控制器。