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

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.