Non-fragile Saturation Control Of Positive Switched Systems With Actuator Faults

Positive switched systems,as a special class of hybrid systems,are composed of positive subsystems and a switching law.Due to the influence of various components and environmental factors,the actuator of a control system may be subject to saturation and occurs faults during the running process of the system.Nonlinearity is a university and complex phenomenon in practice.The nonlinearity often arises in a stochastic form when control systems are subject to external stochastic factors.This will increase the possibility of the fault occurrence and thus affect the stability of the systems.Therefore,the research on the non-fragile saturation control of positive switched systems with actuator faults has important research significance.This thesis will investigate the non-fragile saturation control problem of positive switched systems with actuator faults.The main content of the thesis contains the following five aspects:Chapter 1 is the Introduction.First,the research background and significance of the thesis are given.Then,the research status of positive systems,positive switched systems,actuator faults and saturation is summarized.Furthermore,some preliminaries of positive systems and switched systems are introduced.Finally,the symbols used in this thesis are explained.Chapter 2 studies the non-fragile reliable saturation control of positive switched systems.First,a new non-fragile reliable controller is designed using linear co-positive Lyapunov functions and linear programming approach.In order to improve the reliability of the controller,the gain disturbance term is designed based on a matrix decomposition approach.Then,the obtained approach is extended for interval positive switched systems.Furthermore,a non-fragile reliable saturation control design approach is proposed for the systems with actuator saturation and exogenous disturbances.Finally,a domain of attraction is constructed.Chapter 3 considers the reliable control of positive switched systems with randomly occurring nonlinearities.First,it is assumed that the occurrence of nonlinear phenomena obeys Bernoulli distribution.Multiple linear copositive Lyapunov functions are constructed for the considered systems.Then,the controller gain matrix is divided into the sum of non-positive and non-negative parts by matrix decomposition approach.Furthermore,a family of reliable controllers is designed for positive switched systems with actuator faults.Under the designed controller,the systems can resist the safety risk caused by actuator faults and randomly occurring nonlinearities.Finally,the obtained approach is extended to systems with external disturbances.Chapter 4 considers the reliable control of positive switched systems with double switchings.First,the actuator fault of positive switched systems with periodic switching is modeled.A reliable controller is designed based on periodic switching.Then,a reliable controller of positive switched systems with actuator faults is designed by using linear copositive Lyapunov function and linear programming approach.Two classes of average dwell time switchings are presented for the systems and the faults,respectively.Finally,the designed approach is developed for discrete-time switched systems.Chapter 5 first summarizes the main content of the thesis and then proposes some future research topics and ideas.