时变不确定受扰时滞非线性离散系统的鲁棒H∞控制  

Robust H_∞ Control of Nonlinear Uncertain Disturbance Discrete Systems with Time-Delay and Time-varying

作　　者：胡明慧[1] 邵惠鹤[2] 

机构地区：[1]华东理工大学机械与动力工程学院,上海200237 [2]上海交通大学电子信息与电气工程学院,上海200240

出　　处：《上海交通大学学报》2008年第4期529-533,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(60504033)

摘　　要：针对时变不确定时滞扰动非线性离散系统,基于Lyapunov函数及线性矩阵不等式方法,在非线性项满足特定的条件下,得到了时滞相关无记忆状态反馈鲁棒H∞控制的充分条件.研究了不确定时滞非线性系统具有时变未知且满足一定条件的不确定参数和输入、状态时滞,结果表明,鲁棒稳定判据与系统时滞的大小无关.分析了一种鲁棒控制器的设计方法,使得闭环系统是渐近稳定的.最后,通过数值实例验证了该控制方法是可行的.Based on the Lyapunov function and linear matrix inequality methods, the robust H∞ control problem for a class of disturbance nonlinear uncertain system with time-delay and time-varying was discussed. The nonlinearities are assumed to satisfy the special conditions. Some sufficient conditions are obtained to guarantee the internal stability of the system and given robust H∞ performance. The controllers used are linear and memoryless state feedbacks. The uncertain parameters satisfying some matching conditions and delayed input and state are studied. The result shows that the criteria of robust stabilization are independent on the size of the delays. A robust controller was designed for the uncertain nonlinear systems, and the asymptotic stability is guaranteed. The result of example demonstrates the validity of the proposed control method.

关 键 词：非线性系统 不确定性 鲁棒H∞控制 线性矩阵不等式 渐近稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]