一类带有扰动输出时滞广义系统的鲁棒H_∞控制

针对一类状态和输入均带有时滞和扰动且输出带有扰动的不确定广义系统,研究了该系统的鲁棒H∞控制问题。利用Riccati方程的方法通过选择适当的lyapunov函数,得到该广义系统渐近稳定的充分条件。并基于Riccati方程给出了该控制器的设计方法,使得对于所有允许的不确定性,闭环系统渐近稳定且具有H∞性能指标。仿真实例表明了该设计方法的有效性。

Robustcontrol for a class of singular systems with time-delay and output of disturbance

Robust control was studied for a class of uncertainty singular systems with time-delay and disturbance both state in input and disturbance in output.A sufficient condition was obtained for a singular system by using Riccati equation approach and choosing an appropriate Lyapunov function.The design of controller was proposed in terms of the solutions of Riccati equations.For all admissible uncertainties,the closed-loop system was robustly asymptotically stable and satisfies a prescribed performance.The effectiveness of the proposed design method is demonstrated by a numerical example.