Sampled-Data Dependent Asynchronous Control And Filtering For Switched Systems

Switched systems consist of subsystems and discrete switching signals,which have been utilized in the modeling and control of some complex systems such as mobile robot systems,flight systems and network systems.The sampled-data control is the key link in transforming analog signals into digital signals,which plays an important role on reducing unnecessary transmission data and promoting the effectiveness of transmission channel.It is noted that there exist switchings in sampling intervals,it inevitably leads to the asynchronous phenomena between system modes and sampled-data controller modes.So it is full of interesting in theory and practical to study the sampled-data dependent asynchronous control for switched systems to weaken constraint conditions and obtain less conservative results.In this paper,mode-dependent Lyapunov functionals,quasi-time dependent Lyapunov functions,average dwell time(ADT)technique and mode-dependent average dwell time(MDADT)technique are utilized to study the sampled-data dependent asynchronous control for switched systems,in which,less conservative results are obtained by adding the freedom degree to constraint variables and weakening some constraint conditions.In the meantime,the input quantization,actuator fault,and the immeasurability of system states are taken into account in the sampling control.The main results of this paper are listed as follows.1.The sampled-data dependent asynchronous control is studied for T-S fuzzy switched systems with the input quantization.Firstly,the improved Lyapunov func-tional method is introduced for switched systems under the sampled-data control,and the improved Lyapunov functionals are constructed with more general form,which in-clude sampling states at both sides of sampling intervals.Then,the variation range of membership functions is introduced in dealing with the derivative of above Lyapunov functionals,by which,some constraints conditions are weakened.And then,together with the ADT technique,the sampled-data dependent asynchronous fuzzy controller is designed,by which the sampled-data dependent asynchronous stabilization is realized for T-S fuzzy switched systems with the input quantization.Finally,simulation examples are given to illustrate the effectiveness of results.2.The sampled-data dependent asynchronous input-state stabilization is studied for nonlinear switched neutral systems.Firstly,due to the external disturbance,the sampled-data dependent asynchronous input-state stability criterion is introduced for nonlinear switched neutral systems.Then,mode-dependent Lyapunov functionals are constructed and the input-to-state stabilization conditions are given in the form of linear matrix inequalities together with the ADT technique.And then,since the transmission delay may appear between the sampler and controller,a sampled-data dependent asynchronous controller with transmission delays is designed,by which the sampled-data dependent asynchronous input-to-state stabilization is realized for switched neutral systems.Finally,a simulation example is give to show the effectiveness of results.3.The sampled-data dependent asynchronously reliable control is studied for switched systems with immeasurable states and actuator faults.Firstly,exponential observers are constructed due to the immeasurability of system states.Decay rates of observer states are added into event triggering conditions,by which,the improved event triggering mech-anism is obtained.Then,by this event triggering mechanism,multiple switchings and no more than one switching are analyzed in one sampling interval,by which,some assump-tion conditions are relaxed in some existing results.And then,applying mode-dependent Lyapunov functions and the MDADT technique,the observer dependent asynchronous sampling controller is designed to realize the reliable control for switched systems with im-measurable states and actuator faults.Finally,a simulation example is given to illustrate the effectiveness of results.4.The event triggering dependent asynchronous quasi-time H_? filter is designed for discrete-time switched systems.Firstly,applying the quasi-time dependent Lyapunov functions and the MDADT technique,the weighted H_? performance is analyzed for filter error systems,in which multiple switchings and no more than one switching are discussed in one sampling interval.Then,the quasi-time dependent conditions are given to achieve quasi-time dependent filter parameters,which provide much freedom to these filtering parameters and weaken the constraint conditions.And then,together with the event triggering mechanism,the event triggering dependent asynchronous quasi-time H_? filter is designed to ensure that the filter error system is exponentially stable with a weighted H_? performance index.Finally,simulation examples are given to illustrate the effectiveness of results.5.The event triggering dependent H_? synchronization is studied for discrete time switched complex networks systems.Firstly,triggering states dependent triggering pa-rameters are designed and the improved event triggering mechanism is achieved.Then,applying quasi-time dependent Lyapunov functions and the mode-dependent average dell time technique,the event triggering dependent asynchronously weighted H_? performance is analyzed for synchronization error systems.And then,the event triggering dependent asynchronous quasi-time controller is designed to ensure that the synchronization error system is exponentially stable with a weighted H_? performance,by which the H_? syn-chronization is realized for discrete-time switched complex networks systems.Finally,a simulation example is given to illustrate the effectiveness of results.