一类时滞奇异系统的H^∞鲁棒控制

H∞ robust control for a class of singular systems with time delay

讨论一类具有状态及输入时滞的线性奇异系统的H∞鲁棒控制问题.利用线性矩阵不等式(LMI)方法,给出一个使闭环系统正则、无脉冲模、稳定,且满足H∞鲁棒性能指标的状态反馈控制器存在的充分条件.同时给出了一类奇异系统可鲁棒镇定的充要条件.

The H∞ robust control for a class of linear singular systems with state and input delay is discussed. In terms of linear matrix inequalities, a sufficient condition is given which ensures that the system is regular and the impulse is free and stable, and satisfies H∞ performance as well. Meanwhile, a necessary and sufficient condition of robust stabilization is also presented.