不确定广义系统非脆弱混合H2/H∞优化控制

摘要

针对不确定广义系统非脆弱混合H2/H∞优化控制问题,对控制器增益具有加法式摄动和乘法式摄动两种情形采用线性矩阵不等式方法研究其充分条件,并设计满足要求的鲁棒非脆弱混合H2/H∞状态反馈控制器,使得闭合系统在满足H∞性能的前提下极小化H2范数的上界.%The problem of non-fragile mixed H2/H∞ optimal control is considered for an uncertain singular system. Two classes of perturbations are considered, namely, additive and multiplicative. In these two cases, the sufficient conditions are derived and a mixed H2/H∞ state feedback controller is designed using a set of linear matrix inequalities (LMIs), and the resulting closed-loop system is asymptotic stable subject to a H∞norm constraint, also, the minimal upper bound of H2 performance measure.