区间时滞相关不确定奇异系统的鲁棒稳定性和镇定性

Delay-range-dependent robust stability and stabilization for uncertain singular systems

研究区间时滞相关的不确定时变时滞奇异系统的鲁棒稳定性和镇定性问题,不确定参数假设是范数有界的。充分利用时滞的下界信息构造Lyapunov函数,用严格的矩阵不等式给出系统对所有的容许不确定满足正则、无脉冲、稳定的新判据。基于这个判据,设计状态反馈控制器使得系统鲁棒稳定。数值例子说明所得结果具有更小的保守性。

This paper deals with the problem of robust stability and robust stabilization for uncertain singular systems with time-varying delay in a range.The parametric uncertainty is assumed to be norm bounded.The information of the lower bound of delay is applied to construct Lyapunov functional.A new criterion for the uncertain singular system to be regular,impulse free and stable is proposed in terms of a strict linear matrix inequality for all admissible uncertainties.Based on this criterion,robust stabilization is solved via designing a state feedback control law.Numerical examples are proposed to illustrate that the obtained results have less conservatism.