不确定离散奇异系统的时滞依赖鲁棒H∞控制

Delay-dependent robust H-infinity control for uncertain discrete singular systems

中文关键词  离散奇异系统  时滞依赖  时变时滞  有限和不等式  不确定  线性矩阵不等式(LMI)

英文关键词  discrete singular system  delay-dependent  time-varying delay  finite sum inequality  uncertainty  LMI

中文摘要

      针对一类具时变时滞的范数有界不确定离散奇异系统, 本文研究其鲁棒H_∞控制问题. 通过建立基于二次型的有限和不等式, 避免了模型变换和界定交叉项, 得出一个新的时滞依赖有界实引理, 并表示为严格线性矩阵不等式, 同时给出了状态反馈控制器设计算法, 保证对应的闭环系统对所有容许的不确定性是正则, 因果, 稳定且具给定的干扰衰减度. 最后, 数值例子证明了本文所给方法的有效性.

英文摘要

      The delay-dependent robust H-infinity control for uncertain discrete singular systems with time-varying delay is addressed. The uncertainty is assumed to be norm bounded. By establishing a finite sum inequality based on quadratic terms, which avoids using both model transformation and bounding technique for cross terms, we derive a new delay-dependent bounded real lemma in terms of linear matrix inequality(LMI). A suitable robust H-infinity state feedback control law is then presented, which guarantees the resultant closed-loop system to be regular, causal and stable with given disturbance attenuation level γ for all admissible uncertainties. A numerical example is given to demonstrate the applicability of the proposed method.