时变不确定时滞系统的最优保成本控制  

Optimal guaranteed cost control for uncertain time-varying delay systems

作　　者：黄丽芳[1] 曾立波[1] 

机构地区：[1]湖南科技学院数学与计算科学系,湖南永州425100

出　　处：《湖南科技学院学报》2009年第4期13-17,共5页Journal of Hunan University of Science and Engineering

摘　　要：针对一类同时具有状态时滞和输入时滞的时变不确定连续时滞系统,研究了保成本状态反馈控制器的设计,假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件,通过构造改造的Lyapunov函数和线性矩阵不等式(LMI)方法。给出了系统满足保性能指标的一个充分条件,仅通过求解一个相应的线性矩阵不等式,就可得到保性能控制器使得闭环系统的一个保成本函数对所有允许的不确定参数有上界。通过求解凸优化问题得到最优保性能控制器,最后用示例说明了该方法的有效性。This paper studies the problem of guaranteed cost control for a class of time-varying uncertain continuous time-delay systems with both state and input delays. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched conditions are not required to satisfy. A new sufficient condition of satisfying guaranteed cost index is given for the systems by constructing Lyapunov function and linear matrix inequalities approach. Guaranteed cost controllers can be obtained only from solving corresponding linear matrix inequalities such that a guaranteed cost function for the closed-loop systems has an upper bound irrespective of all admissible parameters uncertainties. Optimal guaranteed cost controllers can be obtained from solving Corresponding convex optimization. Furthermore, a numerical example is given to show the potential of the proposed techniques.

关 键 词：时滞 不确定项 保成本控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]