基于静态输出反馈的非脆弱H_2/广义H_2控制

Non-fragile H_2/generalized H_2 control based on static output feedback

针对传统鲁棒控制器脆弱性比较明显的情况,研究了控制器增益存在摄动时的非脆弱H2/广义H2静态输出反馈控制问题.以双线性矩阵不等式(BMI)组的形式给出了非脆弱静态输出反馈控制器存在的充要条件,给出了基于差分进化算法(DE)与线性矩阵不等式(LMI)的新型求解方法,并依据此方法设计了主动悬架非脆弱H2/广义H2静态输出反馈控制器.仿真结果表明,非脆弱H2/广义H2控制器具有良好的非脆弱性和鲁棒性,证实了所提方法的可行性与有效性.

In order to overcome the obvious fragility of traditional robust controller, the problem of non-fragile H2/generalized H2 static output feedback control with the controller gain perturbation was studied. The sufficient and necessary condition for the existence of non-fragile static output feedback controller was presented via a set of bilinear matrix inequalities （ BMIs）, and new resolving method based on differential evolution （DE） algorithm and linear matrix inequality （LMI） was derived. And the non-fragile 1-12~generalized /-/2 static output feedback controller for active suspension was designed. The simulation results show that the non-fragile H2/generalized H2 controller has good robustness and non-fragility. The feasibility and effectiveness of the proposed method are proved.