时滞广义区间系统的H_∞鲁棒弹性控制

H_∞ robust and resilient control for singular interval systems with state delay

研究了一类时滞广义区间系统的H∞鲁棒弹性控制问题。研究该问题的目的是设计状态反馈弹性控制器,使得闭环系统是鲁棒稳定的,同时具有H∞范数界。分别对控制器增益具有加法式摄动和乘法式摄动研究了弹性控制器的设计问题。该问题通过对系统进行广义二次能稳定且具有H∞范数界的研究而得到解决。控制器的设计可以通过求解一组线性矩阵不等式(LMI)得到。最后,数值例子说明了方法的有效性。

The problem of H∞ robust and resilient control for a class of singular interval systems with state delay is proposed. The purpose of the H∞ robust and resilient control is to design a state feedback resilient controller such that the resulting closed-loop systems are robust stable with H∞ norm bound. Two classes of perturbations are considered, namely, additive and multiplicative. This problem is solved via the notion of generalized quadratic stabilization with H∞ norm bound. And the resilient controllers can be obtained by solving a set of linear matrix inequalities（LMIs）. An illustrative example is given to demonstrate the effectiveness of the design method proposed.