Control Of Systems With Actuator Saturation

There are many different kinds and a huge number of constraints phenomenon in the industrial.One of the most typical phenomenons is the saturation.The saturation is very common in the industrial process and daily life.The system performance index is seriously affected by saturation.Saturation exists in the system with a variety of forms.They are input saturation,output saturation,state saturation and multiple variables saturation.Input saturation is the actuator saturation.Because its role is widely and it appears easily,it has strong theoretical value and practical significance to study the systems with actuator saturation.The study focuses on the control of systems with actuator saturation.It consists of uncertain linear systems with actuator saturation,switched systems with actuator saturation and uncertain switched systems with actuator saturation.In the study,the stability of the system is analyzed,the corresponding state feedback controller is designed,the attraction domain is estimated.The study includes contents of following aspects concretely:Firstly,the study introduces that the core content is the control system with actuator saturation and makes a brief introduction of the background of actuator saturation and the significance of the research.It also gives out the research results of scholars at home and abroad about actuator saturation,uncertain and switched systems.Some basic theories are also introduced,such as three methods of saturation treatment,Lyapunov stability theory,stability analysis method,the linear matrix inequality and a few lemmas.Secondly,the study explores uncertain linear systems with actuator saturation.The existence of the saturated item brings some difficulties in study.It's very important to choose the right methods to dispose saturation.This study uses the sector region method.According to the definition of the Lyapunov stability theory,the study gets the stability criterion.It also designs the state feedback controller and gives out a numerical example.Thirdly,the study focuses on the switched systems with actuator saturation.It disposes saturation with the method of sector region.Based on the theory of Lyapunov and the linear matrix inequality,the study gives out the sufficient conditions of asymptotic stability of the system.Fourthly,the study explores uncertain switched systems with actuator saturation.Using the method of sector region to dispose saturation.According to the theory of Lyapunov and the linear matrix inequality,it gets the sufficient conditions of asymptotic stability of uncertain switched systems.Finally,a summary and outlook of the study is given.