具有饱和因子的时滞广义系统的鲁棒H_∞控制

Robust H_∞ Control for Singular Time-Delay Systems with Saturating Actuators

研究了一类具有饱和因子并含有不确定参数的变时滞广义系统的时滞相关鲁棒H∞控制,系统的状态方程和输出方程均带有时滞,且状态方程的输入和输入时滞中均含饱和因子.通过构造Lya-punov-Krasovskii泛函,利用线性矩阵不等式方法和矩阵奇异值理论,给出了时滞广义系统正则、无脉冲、渐进稳定且满足H∞范数小于给定界γ的充分条件,并给出了H∞控制器的设计方法 .数值算例说明了本文所提方法具有更小的保守性.

A method of delay-dependent robust H∞ control for singular systems with saturating actuators and parameter uncertainties was studied, and both the state and the control input have time delays. Also the influence of the saturating actua for on the input and input delay was studied. A sufficient condition was established by constructing the generalized Lyapunov Krasovskii function. Based on linear matrix inequality（LMI） approach and singular value theory, a state feedback controller was designed, which guarantees that the resultant closed-loop system is regular, impulse free, and stable with an H∞ norm bound constraint. Numerical examples show that the proposed methods are less conservative than the existing ones.