The design of the gain-scheduled H_(2)/H_(∞)filter for polytopic discrete-time systems is investigated.By introducing additional slack variables,a new mixed H_(2)/H_(∞)performance criterion is proposed,which provide...The design of the gain-scheduled H_(2)/H_(∞)filter for polytopic discrete-time systems is investigated.By introducing additional slack variables,a new mixed H_(2)/H_(∞)performance criterion is proposed,which provides a decoupling between the Lyapunov matrix and system matrices.Based on the new performance criterion,a sufficient condition for the existence of the gain-scheduled H_(2)/H_(∞)filter is derived.Furthermore,the filter design problem is converted into a convex optimization problem with linear matrix inequality(LMI)constraints.Simulation results show the effectiveness of the proposed approach.展开更多
基金supported by the National Natural Science Foundation of China (Grant No.60736026).
文摘The design of the gain-scheduled H_(2)/H_(∞)filter for polytopic discrete-time systems is investigated.By introducing additional slack variables,a new mixed H_(2)/H_(∞)performance criterion is proposed,which provides a decoupling between the Lyapunov matrix and system matrices.Based on the new performance criterion,a sufficient condition for the existence of the gain-scheduled H_(2)/H_(∞)filter is derived.Furthermore,the filter design problem is converted into a convex optimization problem with linear matrix inequality(LMI)constraints.Simulation results show the effectiveness of the proposed approach.
