Event-Triggered Control And Synthesis For Linear Systems With Actuator Saturation

With the improving the performance requirements of the modern industry control system,it is difficult for the traditional feedback mechanism to satisfy a variety of practical need.This is because nonlinear phenomena are common in the world.Saturated nonlinearity is one of the most common and important nonlinear problems in nonlinear control systems,and it is also ubiquitous in engineering control systems.Therefore,the control problem of saturated system has been paid much attention to the control communities.On the other hand,the event-triggered control mechanism is based on the specific condition of the system state(output)to decide whether the control task is updated or not.It has the advantages of reducing the number of control tasks,saving energy and network resources.In this thesis,we combine the event-triggered strategy with the linear systems subject to the actuator saturation,and study the design problems of the event-triggered controller,the event-triggered L?dynamic output feedback controller and the event-triggered switching L? dynamic output feedback controller,respectively.It contains the following aspects:First,we study the event-triggered control for linear systems with the actuator saturation.The event generator and anti-windup compensator are co-designed,in which the event-triggered condition is based on the system output.The condition of the existence of the event generator and the anti-windup compensator is given by using the Lyapunov stability theory.And the minimum positive lower bound of the two successive event-triggered intervals is given in order to avoid the Zeno behavior.The feasibility and effectiveness of the results are shown by simulation.Second,we co-design the dynamic output feedback controller,the event generator and the anti-windup compensator for linear systems with actuator saturation without external bounded disturbance.The sufficient condition for the co-design is given.Then,a L? dynamic output feedback controller including an event generator and an anti-windup compensator is designed in the presence of external bounded disturbance and the domain of attraction is extended.The algorithm of solving the maximum tolerance capability of disturbance and the optimal solution of the L? performance of the system,the event-triggered condition and the domain of attraction is also given.In addition,the minimum positive lower bound of the two consecutive event-triggered intervals is given for avoiding the triggering numerous times in a finite amount of time.The simulation results show the feasibility of the co-design condition.Finally,we design a switched L? dynamic output feedback controller based on event-triggered control for linear systems with actuator saturation.The sufficient condition for the co-design of the switched L? dynamic output feedback controller,the event generator and the anti-saturation compensator is given.The domain of attraction is enlarged with respect to a single mode controller.The algorithm of solving the maximum tolerance capability of disturbance and the optimal solution of the L? performance of the system,the event-triggered condition and the domain of attraction is given.The minimum positive lower bound of the two consecutive event-triggered intervals is given,which avoids the occurrence of the Zeno behavior.The simulation results show the effectiveness of the design.