Stability Of Singular Time-delay Switched Systems With Saturating Actuators And Optimal Quadratic Regulation

Singular systems are frequently encountered in dynamical systems.It has exponential solution and possesses pulse solution as well as stability solution which normal systems don’t have. At the same time,singular systems own the input of derivative term which makes it have pulse behavior. Because of these characteristics,it becomes the focus of research in recent years. In addication, switched systems is one of the hot topics in the study of control system. These combined with time-delays and saturating actuators are main discussion of this article.Firstly,we get the switched rule of robust stability for uncertain switched singular systems with multiple-state delays based on the lyapunov stability method.Secondly, we have studied stability and H∞property of singular switched time-delay systems with saturating actuators. Then we change the output form which make it include time-delay and interference to analyze its H∞performance.In the end, we make use of singular Riccati equation to investigate optimal quadratic regulation of singular switched time-delay systems with saturating actuators.