含有控制时滞系统的输出反馈扰动抑制  

Disturbance Rejection for Linear Systems with Control Delay via Output Feedback

作　　者：唐功友[1] 赵翀[1] 雷靖[1] 

机构地区：[1]中国海洋大学信息科学与工程学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2007年第4期667-670,532,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(60574023);山东省自然科学重点基金项目(Z2005G01);青岛市自然科学基金项目(05-1-JC-94)资助

摘　　要：研究在持续外界扰动作用下,具有控制时滞线性系统的动态输出反馈扰动抑制问题。首先利用模型转换将控制时滞系统转化为形式上无时滞的系统,通过求解Riccati方程和Sylvester方程,推导出前馈—反馈最优扰动抑制控制律。然后构造能同时预估状态和扰动的降维观测器,不仅解决前馈控制和状态反馈的物理不可实现问题,而且得到了近似于最优扰动抑制控制律的动态输出反馈扰动抑制控制器。仿真实例证明此控制律的有效性。Disturbance rejection based on dynamic output feedback for linear systems with control delay under persistent disturbances is considered. By using a model transformation, the system with control delay is transformed into a system without delay in form. The feedforward and feedback optimal disturbance rejection control law is derived from a Riccati equation and a Sylvester equation. A reduced-order observer capable of estimating state and disturbance variables is constructed to make feedforward control and state feedback physically realizable. And a dynamic output feedback disturbance rejection controller approximating the optimal disturbance rejection control law is obtained. The simulations demonstrate the effectiveness of the control law.

关 键 词：时滞系统 输出反馈 最优控制 扰动抑制 观测器 

分 类 号：O231.1[理学—运筹学与控制论]