一类不确定系统多约束下的鲁棒H∞控制  

Robust H_∞ Control for a Class of Uncertain Systems with Multi-constraint

作　　者：费为银[1] 丁德锐[2] 

机构地区：[1]安徽工程科技学院应用数理系 [2]安徽工程科技学院电气工程系,安徽芜湖241000

出　　处：《控制工程》2008年第2期135-137,163,共4页Control Engineering of China

基　　金：教育部科学技术重点研究基金资助项目(205073);安徽省高校自然科学基金资助项目(2005kj209)

摘　　要：研究了一类离散不确定系统区域稳定和方差约束的鲁棒H∞控制器的设计方法。通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,闭环传递函数的H∞范数小于所给定的一个正标量;同时,闭环系统每个状态的稳态方差不高于各自给定的上界。借助于广义的Riccati矩阵不等式、Lyapunov方程等,给出了控制器存在的充要条件,并给出了所期望控制器的解析式。仿真实例验证了该方法的可行性。A design method of robust H∞ controller for a class of uncertain discrete-time systems with variance and D-stability constraints is studied. Through designing a state feedback controller, the closed-loop poles are placed within a specified disk, the H∞ norm of the closed-loop transfer function is strictly less than a given positive scalar, and the steady-state variance for each state of the closed-loop system is not more than the prescribed individual upper bound. By the modified Riccati matrix inequality and Lyapunov equality, the sufficient and necessary condition for existence of desired controller is obtained, and the analytical expression of the set of desired controllers is also presented. The simulation result shows the applicability of the proposed method.

关 键 词：离散不确定系统 D稳定 方差约束 H∞范数 状态反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]