Robust H-infinity control on impulsive switched systems with disturbance
关于一类脉冲切换系统的鲁棒H∞控制

The robust H-infinity control problem for impulsive switched linear systems with disturbance is considered in the paper with attention mainly paid to the robust stability and robust capability. By using the Lyapunov function method some important sufficient conditions for the robust asymptotic stability of the system are obtained. According to these conditions it is easy to determine whether or not a system is of robust asymptotic stability. Furthermore, by analyzing the robust capability of the system with the help of the linear matrix inequality (LMI) method, the state feedback matrix and the impulsive control matrix of the system are obtained, and then a robust H-infinity control rule is derived. Finally, a robust H-infinity control design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.