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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.
For a class of linear continuous uncertain systems, based on the linear algebra method, the robust H_∞ problem of the static output feedback control is studied. The results show that the solvability of the robust problem of the static output feedback control is equivalent to the two corrections Riccati’s inequalities have positive definite solutions, and the analytical expressions that allow the controller to meet the design requirements are given.