静态输出反馈的鲁棒H_∞控制的一种代数方法

Algebraic Approach to Robust H Control Via Static Output Feedback

对于一类线性连续不确定性系统,基于线性代数的方法,研究了静态输出反馈控制的鲁棒H_∞问题.结果显示:静态输出反馈控制的鲁棒问题的可解性等价于两个修正Riccati的不等式有正定解,并且给出了符合设计要求的允许控制器的解析表达式.

This paper deals with the robust H ?control problem for a class of linear continuous uncertain systems via static output feedback, based on the linear algebraic method. The main results shows that the robust H control problem via static output feedback is solvable if only if there exists a positive definite matrix satisfying two modified Riccati inequalities . Moreover , an analytic representation of admissible controller satisfying the designed necessity is given.