不确定系统的鲁棒严格正实设计的LMI方法  

Robust Strict Positive Realness Synthesis for Uncertainty Systems with LMI Approach

作　　者：张高民[1] 贾英民[1] 

机构地区：[1]北京航空航天大学理学院

出　　处：《北京航空航天大学学报》2002年第3期331-334,共4页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目 (6962 5 5 0 6)

摘　　要：考虑系数矩阵具有有界范数不确定性系统的鲁棒严格正实设计问题 .定义了不确定系统的二次严格正实性 ,得到了用线性矩阵不等式表示的系统二次严格正实的充要条件 。This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.

关 键 词：不确定系统 鲁棒性 状态反馈 线性矩阵不等式 

分 类 号：O231.1[理学—运筹学与控制论]