摘要
讨论了含饱和执行器的不确定离散马尔可夫跳跃奇异系统的鲁棒H∞控制问题.首先,给出了一个保证离散马尔可夫跳跃奇异系统正则、因果、有界状态稳定且满足 H∞性能的充分条件.然后,在此条件下,解决了不确定系统的鲁棒 H∞饱和控制问题,并基于线性矩阵不等式(LMI),给出了鲁棒 H∞状态反馈控制器的设计方法.最后,用一个数值算例验证了本文方法的有效性.
The robust H∞ control problem for systems with actuator saturation is considered. guarantees that the discrete-time Markov jump uncertain discrete-time Markov jump descriptor Firstly, a sufficient condition is obtained which descriptor systems with actuator saturation are regular, causal, bounded state stable and satisfy the H∞ performance. Secondly, the robust H∞ control for uncertain systems is solved and the design method of robust H∞ state feedback controller is developed based on linear matrix inequality （LMI） technique. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
基金
National Natural Science Foundation of China(61074037)
