带非线性摄动的状态延迟系统的H∞鲁棒控制

摘要

H∞ robust control problem of the state-delayed systems with nonlinear uncertainties is researched. The uncertainties described by bounded norm are concerned with both the non-delayed state and the delayed state. Based on matrix inequality, the sufficient conditions are presented by dynamic dissipative theory such that the systems satisfy H∞ robust disturbance attenuation performance. At the same time, a memoryless state feedback controller that is independent of delay, an observer-based dynamic output and a delay-dependent state feedback controller are given.%研究了带非线性摄动的状态延迟系统的H∞鲁棒控制.该摄动用有界范数描述，它不仅与非延迟状态有关，而且与延迟状态有关.用动态耗散理论，基于矩阵不等式，给出了系统满足H∞鲁棒扰动衰减性能准则的充分条件；同时系统地推导出了独立于延迟的无记忆状态反馈控制器、基于状态观测器的动态输出反馈控制器和依赖于延迟的状态反馈控制器的设计算法.