线性时变周期系统的鲁棒稳定及H^∞控制

ROBUST STABILIZATION OF LINEAR TIME-VARYING PERIODIC SYSTEMS AND H￣∞ CONTROL

给出带有结构性不确定的线性时变周期系统二次稳定的充要条件，并指出为该系统设计鲁棒动态补偿器和具有Ｈ∞指标γ的鲁棒动态补偿器问题都可以转化成相应的确定性辅助线性时变周期系统的Ｈ∞控制问题．

This paper gives a necessary and sufficient condition for the quadratic stability of the linear time-varying periodic systems with norm-bounded uncertainty. It is also shown that for linear time-varying periodic systems with norm-bounded uncertainty,the design of the robust stabilizing compensator and the robust compensator with prescribed H∞ index γ can both be transferred to solving the standard H∞ control problems of the appropriate auxiliary linear time-varying periodic systems without uncertainty.