Saturation Control Of A Class Of Switched Systems With Average Dwell Time

In practice, to get a better solution, many actual systems must be modeled as switched systems, so it is an international foreland in recent years and has attracted a lot of attention. In this paper, our research mainly aims at a set of switched system subject to actuator saturation.Meanwhile, the actual switched systems may have strong nonlinear, saturation, time delay and disturbance etc, so the switched systems with these characters are also be considered.Stability is a basic problem of control systems. So many methods based on different switching situation have been proposed by researchers to analysis the stability of switched systems. In this paper, average dwell time method is used to choose a suitable switching law,for the switching signal satisfied average dwell time constraint, it can lead closed-loop system a stable behavior.Two main methods are used to solve the saturation characteristics existing in switched systems: one approach is to place the saturated control in the convex hull of a group of linear controls; another is to decompose the saturation part into a linear and a nonlinear part, and the nonlinear part satisfy a sector condition.The main research contents are as follows:Firstly, for the switched system with actuator saturation, the control law is designed based on average dwell time method. Nth step invariant set method is used to design controller to lead the closed-loop system a stable behavior.Secondly, for a class of switched system with time delay, a time delay depended Lyapunov function is chosen. For the switching signal satisfied average dwell time constraint,a controller gain is designed to lead closed-loop system a stable behavior based on Nth step invariant set method.Finally, for the switched system with both actuator and sensor saturation, finite time stability of control system is considered. The saturation part can be decomposed into a linear and a nonlinear part, and the nonlinear part satisfy a sector condition. Design a dynamical output feedback gain, for all the switching signal satisfied average dwell time constraint, it can lead closed-loop finite time stable.