关于一类脉冲切换系统的鲁棒H∞控制

研究一类具有扰动的脉冲切换线性系统的鲁棒H控制问题.分别从系统的鲁棒稳定性及其鲁棒性能两方面进行分析.首先利用Lyapunov函数法对系统的稳定性进行分析,给出了系统鲁棒渐近稳定的几个重要的充分条件,通过它很容易判断系统是否鲁棒稳定.进一步运用线性矩阵不等式(LMI)法对系统鲁棒性能进行分析,得到了一般系统的状态反馈矩阵和脉冲控制矩阵,并在此基础上得出了一个鲁棒H控制律.最后提出了一套基于MAT-LAB软件的鲁棒控制器的设计方法,并通过一个数值例子很好地验证了文中主要结论的有效性.

Robust H-infinity control on impulsive switched systems with disturbance

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.