Event-triggered Sliding Mode Control For Singular Systems

With the development of science and technology,many practical networked control systems are becoming more and more complex.How to effectively reduce network bandwidth and improve network utilization has become a hot research direction.The event-triggered sampling(ETS)is a new effective control strategy which has been studied by many scholars in recent decades.Different from periodic implementation,it updates control signals only when it satisfies the triggering condition.In this strategy,the next control executed instant is got whenever the event-triggered error violations cross a certain prescribed threshold value.Therefore,The control is not updated nor computed till it abides by the triggering condition.Instead of fixed time interval update control in the time-triggered sampling(TTS).Therefore,it is more effective than the periodic execution mechanism.Sliding mode control has the advantages of easy implementation and simple algorithm.It can ensure the stability of the system and make the system state respond quickly.Under the conditions of matching,the sliding mode has a complete adaptability to the external disturbance of the system and the internal disturbance of the system.How to combine the event-triggered and sliding mode control to give full play to their advantages will be bound to get better results.In this paper,linear singular systems and T-S fuzzy singular systems are used as the models.the event-triggered sliding mode control method is designed for the two types of systems,and the stability conditions are obtained based on Lyapunov stability theory.The main research work is as follows:1.An event-triggered sliding mode control method is proposed for a class of linear singular systems.An integral switching surface is designed.we combine event-triggered condition and sliding mode control theory.integral switching surface and event-triggered scheme are integrated resulting in a novel time-delay system.The Lyapunov function under event-triggered condition is constructed.The existence condition of the integral switching surface and the stability condition of the sliding mode dynamic are presented.An event-triggered sliding mode controller is derived for driving the closed-loop system trajectories to the switching surface in finite time.At the same time,we have degenerated the results to the normal system.Compared with existing event-triggered H? control design methods,simulation result shows the effectiveness and advantages of the proposed method.2.A T-S fuzzy adaptive event-triggered sliding mode control method is proposed for a class of T-S fuzzy singular systems with uncertainty.An integral switching surface is designed.we combine event-triggered condition and sliding mode control theory,integral switching surface and event-triggered scheme are integrated resulting in a novel T-S fuzzy time-delay system.The Lyapunov function under event-triggered condition is constructed.The existence condition of the integral switching surface and the stability condition of the sliding mode dynamic are presented.A T-S fuzzy adaptive event-triggered sliding mode controller is derived for driving the closed-loop system trajectories to the switching surface in finite time.At the same time,we have degenerated the results to the normal system.simulation result shows the effectiveness of the proposed method.