一类非线性切换系统鲁棒H∞可靠控制

为了克服扰动与执行器故障对控制系统的影响，使系统具有抗干扰性和可靠性，针对一类不确定非线性切换系统，研究了在任意切换规则下鲁棒H∞可靠控制问题．首先，系统所有矩阵同时含有参数不确定性，并且系统也存在未知非线性扰动．当执行器存在故障时，基于线性矩阵不等式技术以及公共李亚普诺夫函数方法得到鲁棒H∞可靠控制器，使切换系统在任意切换律下全局二次稳定并且满足H∞性能指标．最后，通过求解凸优化问题得到了鲁棒H∞最优可靠控制器．仿真结果表明控制器在任意切换规则下是可行和有效的．     

基于神经网络的非线性系统故障检测及容错控制方法

利用神经网络的非线性建模能力，提出了一种非线性系统的故障检测及容错控制方法。在本方法中，首先应用神经网络设计故障估计器，在线估计系统故障向量，实现故障检测；在此基础上，引入补偿控制器，消除故障对系统运行的影响，从而实现容错控制。同时基于Ｌｙａｐｕｎｏｖ方法进行了稳定性分析。     

任意切换下不确定线性切换系统的鲁棒镇定

1引言 切换系统是一类重要的混合系统,它的稳定性是研究最为集中的问题之一.目前已引起国内学者的广泛关注[1,2].     

一类非线性不确定系统的鲁棒观测器设计

对于一类非线性不确定系统，给出一种基于观测器的鲁棒稳定控制器设计的新方法，它适用于一般匹配不确定系统，且对全维和降维两种观测器均进行了研究．设计实例表明，所设计的控制器反馈增益幅值较小、实现方便．     

ROBUST ADAPTIVE CONTROL FOR STRICT‐FEEDBACK NONLINEAR SYSTEMS

In this paper, we propose a robust adaptive tracking control based on the backstepping strategy for strict‐feedback nonlinear systems with nonparametric uncertain nonlinearities. It is shown that one can design a stable adaptive control system provided that the uncertain nonlinearities can be decomposed by unknown bounded nonlinear functions and known nonlinear functions. The proposed method can deal with uncertain nonlinearities that appear at the control input term too. It is also shown that suitable choice of design parameters guarantees the convergence of tracking error to any desired bound.     

GLOBAL ROBUST H∞ CONTROL OF A CLASS OF NONLINEAR SYSTEMS

This paper considers the problem of robust disturbance attenuation for a class of systems with both Lipschitz bounded and nonlinear uncertainties. The nonlinear uncertainty is assumed to satisfy a ‘matching condition’ and bounded by a known nonlinear function. The Lipschitz bounded one could be with any mismatched uncertainties. We develop a Riccati equation approach for designing a state feedback controller such that the so-called ℒ︁₂-gain from the exogenous input noise to the state is minimized or guaranteed to be no larger than a prescribed value. © 1997 by John Wiley & Sons, Ltd.     

一类非线性不确定系统的神经网络控制

针对一类非线性不确定系统,提出了一种自适 应神经网络控制方案．被控系统是部分已知的,其中系统已知的动态特性被用来设计保证标 称模型稳定的反馈控制器,而基于神经网络的动态补偿器则用于补偿系统的非线性不确定性 ,从而可以保证系统输出跟踪误差渐近收敛于0．     

A ROBUST ADAPTIVE CONTROL DESIGN FOR A CLASS OF UNCERTAIN NONLINEAR MARKOVIAN JUMP SYSTEMS

A direct robust adaptive nonlinear control scheme for a class of uncertain nonlinear Markovian jump systems with nonlinear state‐dependent uncertainty is presented. The proposed scheme is Lyapunov‐based and guarantees the global uniform ultimate boundedness of the closed‐loop system in the mean sense. A numerical example is given to demonstrate the validity of the results.     

非线性开关系统的一种新的鲁棒稳定性分析

研究了非线性开关系统 ,给出了其鲁棒稳定性的充分条件 .结果比以往的稳定性分析更具有实用性 .数值仿真结果令人满意     

一类多变量非线性动态系统的鲁棒自适应模糊控制

对一类非线性多变量未知动态系统,提出了一种自适应模糊控制策略.策略中采用IF-THEN推理规则来构造模糊逻辑系统,实现对系统中未知函数的估计,在建模误差为零的条件下设计状态反馈控制器及参数的自适应律.分析了当存在建模误差时,闭环系统的稳定性和鲁棒性.     

一类具有不确定性的非线性相似组合系统的鲁棒镇定

描述了两个控制系统间的相似性概念,讨论了一类具有不确定性的非线性相似组合系统的鲁棒镇定问题.结果表明,作者构造的控制器具有结构相似性.相似结构确实可以简化组合系统鲁棒镇定的判据.这说明,在一定程度上,具有相似结构的组合系统其相似结构具有稳固系统的特性.     

一类时变非线性系统的模型偏差补偿控制

本文通过对滑模控制进行改进,提出了适用于一类时变非线性系统的模型偏差补偿控制方案,用于实现高精度的连续轨迹跟踪控制,并指出了该方案和 PID 控制方案的一些联系.     

ROBUST CONTROL FOR A CLASS OF UNCERTAIN STATE‐DELAYED SINGULARLY PERTURBED SYSTEMS

This paper considers the problem of robust control for a class of uncertain state‐delayed singularly perturbed systems with norm‐bounded nonlinear uncertainties. The system under consideration involves state time‐delay and norm‐bounded nonlinear uncertainties in the slow state variable. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed‐loop system for all ∞ ∞ (0, ∞00) and independently of the time‐delay. Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed. We present an illustrative example to demonstrate the applicability of the proposed design approach.     

GLOBAL ROBUST SERVOMECHANISM OF A CLASS OF NONLINEAR SYSTEMS USING OUTPUT FEEDBACK

The robust servomechanism problem (alternatively, output regulation problem) of the class of nonlinear systems in lower triangular form has been extensively studied in recent years. The semi‐global solution was first given by either state feedback or output feedback. The global solution by state feedback was given very recently. However, the global solution by output feedback has long been an open problem. In this paper, we present a set of solvability conditions of the global robust servomechanism problem for this class of nonlinear systems by output feedback.     

一类非线性奇异控制系统的块解耦

讨论了在正则状态下反馈作用下，一类非线性奇异控制系统的输入输出块解耦问题，首先给一种算法，然后利用该算法导出系统输入块解耦问题可解的充分必要条件。     

一类非线性相似组合系统的鲁棒分散控制器的设计

对于一类非线性组合系统提出了系统的相似性结构的定义,讨论了这类具有相似性结构的非线性结构不确定组合系统的鲁棒分散镇定问题.利用系统的相似性结构,采用输入、输出线性化与滑模控制原理相结合的方法所设计出的鲁棒分散控制器可确保闭环系统是渐近稳定的.研究结果表明系统的相似性结构使设计的滑动面和分散控制器亦具有相似结构,从而简化了对系统的分析与设计.     

SENSITIVITY APPROACH TO OPTIMAL CONTROL FOR AFFINE NONLINEAR DISCRETE‐TIME SYSTEMS

This paper deals with the optimal control problem for a class of affine nonlinear discrete‐time systems. By introducing a sensitivity parameter and expanding the system variables into a Maclaurin series around it, we transform the original optimal control problem for affine nonlinear discrete‐time systems into the optimal control problem for a sequence of linear discrete‐time systems. The optimal control law consists of an accurate linear term and a nonlinear compensating term, which is an infinite sequence of adjoint vectors. In the present approach, iteration is required only for the nonlinear compensation series. By intercepting a finite sum of the series, we obtain a suboptimal control law that reduces the complexity of the calculations. A numerical simulation shows that the algorithm can be easily implemented and has a fast convergence rate.     

一类非最小相位非线性系统的神经网络自适应控制策略

针对一类非最小相位非线性系统，基于线性化和前馈补偿的思想，提出了神经自适应控制算法。得到了前馈控制律的闭环稳定性分析，并给出仿真结果。     

一类时滞不确定非线性系统的鲁棒控制器设计

针对一类具有单输入滞后不确定非线性系统, 采用精确反馈线性化方法和Lyapunov方法设计出一种使系统终极有界(UUB)的无记忆光滑状 态反馈鲁棒控制器．仿真算例表明了本文所采用方法的有效性．     

一类非线性开关系统二次稳定性的充要条件

研究了一类非线性开关系统的二次稳定性问题.首先将系统的二次稳定性转化为等价的带约束非线性规划问题,给出了系统二次稳定的充分必要条件;然后利用Fritz John条件,将该充要条件转化为较易检验的以代数方程和不等式的解表示的代数条件,最后举例说明了该代数条件的使用.