Robust Stabilization Of A Class Of Time-delay Systems With Actuator Saturation

In practical control system design, systems generally exist constraints, saturation phenomenon as one of the most common phenomenon of constraint. and the saturation phenomenon can destroy the dynamic performance, especially the stability of the system. Therefore, saturation problem caused the attention of many scholars and exploration.Actuator saturation is one of the common and most important saturation nonlinearity, this paper mainly studies the stability problems of the control systems with actuator saturation, including discrete time-delay uncertain actuator saturation system, continuous time-delay actuator saturation system and discrete actuators saturation system. Commonly used treatment methods for saturation are fan zone method, convex combination, saturability method. By using a fan zone method, the Lyapunov function method, combined with matrix inequality properties, we obtain sufficient conditions for the robust stability of the system.Firstly, this article introduces the significance of selected topic, the saturation system research background at home and abroad on the subject, the continuous and discrete time-delay systems with saturated actuator of the stability analysis of research methods and conclusions are summarized. Secondly, the second chapter is about the basic overview of the system stability theory, and lists some important theorems and the fundamental lemma, at the same time introduces the commonly used method on saturation. Thirdly, this paper discusses the robust stabilization problem of discrete time-delay system and continuous time-delay system with actuator saturation. The paper deals with saturated nonlinear item by using fan zone method, and proposes the system stability criterion, and feedback controller design method. In analysis of the robust stabilization of discrete time-delay system and continuous-time system, this paper selects different Lyapunov function for the two systems, combined with matrix inequality properties, and introduce slack variables and zero item type. This method largely reduces the incidence of conservative, at the same time gives a delay-dependent stability criterion.In the end,it is the full text summary and outlook.