广义时滞系统稳定和镇定的严格线性矩阵不等式判据

Strict LMIs Conditions for Stability and Stabilization of Singular Delay Systems

用构造P矩阵和Lyapunov直接稳定性方法,用简便的严格线性矩阵不等式(LMIs)给出了线性广义时滞系统的稳定和镇定判定条件.得到了广义时滞系统的容许性严格LMI充分条件;给出了两类状态反馈控制器来保证闭环系统的稳定性,因为所得LMIs判据中只需解出一个未知正定矩阵Q,故该LMIs判据简化和改进了已有结果;给出了仿真实例来验证所得判据的有效性.

The stability and stabilization criteria of continuous singular delay systems are presented by strict linear matrix inequalities(LMIs).Strict LMIs admissibility criteria are presented including stability of singular delay systems.Two class of state feedback controllers are given to guarantee that the given singular delay system is admissible.In the considered LMIs criteria,only apositive definite matrix Q needed to be solved without involving additional matrices.For this reason,the merit of obtained LMIs criteria is that they simplify and improve the existing results.Numerical examples are given to verify the effectiveness of the criteria.