H_∞ Control Based on LMIs for a Class of Time-delay Switched Systems

【摘要】：The problem of H∞ stability analysis and control synthesis of switched systems with delayed states under arbitrary switching laws is considered.By means of Lyapunov function and linear matrix inequality tools,sufficient condition of H∞ stability is presented in terms of linear matrix inequalities.Furthermore,the robust H∞ control synthesis via state feedback and output feedback is studied.Finally,a numerical example is given to demonstrate the effectiveness of the proposed method.