不确定时滞奇异摄动离散系统的稳定性分析

Stability Analysis of Uncertain Time-delay Singularly Perturbed Discrete-time Systems

针对不确定时滞奇异摄动离散系统的稳定性相关问题,利用Lyapunov函数的方法,结合线性矩阵不等式,得出不确定时滞奇异摄动离散系统存在保性能控制律的一个充分条件,而对该系统稳定性研究更能真实地刻画和描述客观实际,也是对控制理论的丰富和发展.

In order to solve the stability-related problems of uncertain time-delay singularly perturbed discrete-time systems,a sufficient condition for the existence of a guaranteed cost control law for a class of uncertain time delay singularly perturbed discrete systems is obtained by using the Lyapunov function method and the techniques of the Linear matrix inequality,the research on the stability of the system can describe the reality and enrich the control theory.