一类切换广义时滞系统的鲁棒指数镇定

Robust Exponential Control for a Class of Switched Singular Time-Delay Systems

对含有不确定参数的时变时滞切换广义系统的鲁棒指数容许性问题和鲁棒指数镇定问题进行了研究.通过利用自由权矩阵和平均驻留时间的方法,针对该类切换广义时滞系统,给出了其鲁棒指数容许的充分条件.在此基础上设计有记忆状态反馈控制器,利用广义系统Lyapunov稳定性理论和LMI方法,得到了使相应的闭环系统正则、无脉冲且指数稳定的充分条件.最后,通过仿真算例对该方法的有效性和可行性进行验证.

The robust exponential admissibility problems and robust exponential stability control problems of uncertain switched singular time-varying delay systems were studied. By way of freeweighting matrices and average dwell time methods,the sufficient condition of exponential admissibility of uncertain switched singular time-delay systems was given. Then on the basis of linear matrix inequality（ LMI） approach and the singular system Lyapunov stability theory,a state feedback controller with memory was designed,resulting in the regular,impulse free,and exponentially stable closed-loop systems. Finally,the feasibility and validity of the proposed method were finally demonstrated by illustrative example.