不确定多时滞广义系统的鲁棒控制器设计

Design of Robust Controller for Uncertain Singular Systems with Multiple time Delays

研究了针对一类不确定性多时滞广义系统的鲁棒控制问题,系统的奇异矩阵满足一定假设条件的。提出了一种基于线性矩阵不等式(LMI)的鲁棒控制器的设计方法,并证明了该鲁棒控制器可以保证原系统与其组成的闭环系统是全局一致指数稳定的。该控制器既消除了多时滞所带来的不良影响,又使系统具有很强的鲁棒稳定性,设计方法简单,求解容易。通过一个数值算例,说明了所给方法的有效性。

The problem of robust control for uncertain singular systems with multiple time delays, which singular matrix matches some assumptions, is studied in this paper. A robust controller is developed based on linear matrix inequality technique and it is shown that the controller can guarantee the state variables of the closed loop system to be stable, globally, uniformly and exponentially. The controller eliminates bad effects of time delay, and gives robust stabilization to system. The design of robust controller can be solved easily by LMI. A numerical example illustrates the effectiveness of the proposed design method.