Output Regulation Problem For Switched Linear Systems With Event-triggered Mechanism

The switched system is composed of a finite number of continuous(or discrete)subsystems and appropriate switching signal.Because the system can model complex systems with multi-mode or multi-controller,it has been widely used in communications,aerospace and other fields,and has become a very important research topic in the field of control.At present,the research on switched systems has been relatively mature.However,most of the results are based on non-network data transmission.It will be a meaningful and challenging task to apply event-triggered mechanism to switched systems in network transmission.In addition,output regulation problem is one of the core issues in control theory and application filed.The research on output regulation of linear switched systems based on event-triggered mechanism will be of great practical application value.In this paper,the output regulation for switched linear systems is discussed based on several types of event-triggered mechanism.The main work is as follows:Firstly,the output regulation problem for a class of switched linear systems is studied via designing a continuous event-triggered state feedback controllers.The design of the controller for switched systems is difficult due to the mixture of event-triggered times and switching times.The output regulation problem of linear switched system is solved by giving a co-design scheme of an event-triggered mechanism,state feedback controllers and switching signal satisfying the average dwell time condition.The different coordinate transformations break the restrictions of a common solution for regulator equations of all subsystems.Moreover,a positive lower bound on the inter-event interval is given to avoid Zeno behavior.Finally,the simulation of a switching RLC circuit system is applied to verify the validity of the results.Secondly,the event-triggered output regulation problem for networked flight control system is studied by using switching technology.An alternate event-triggered mechanism switching between periodic sampling and continuous event-triggered mechanism is derived.The alternate event-triggered mechanism transmits not only the triggered information but also the mode information to the controller such that asynchronous switching may occur owing to the mismatch of the update time between the controller mode and the system mode.Meanwhile,the switching signal caused by asynchronous switching is designed based on the mode-dependent average dwell time condition and the alternate event-triggered mechanism.By constructing multiple Lyapunov functions in the framework for the input delay approach and designing an error feedback controller,the sufficient condition for event-triggered asynchronous output regulation problem is solved.Finally,the simulation results are applied to F-18 aircraft to verify the effectiveness of the proposed method.Finally,the event-triggered output regulation problem for networked switched systems with existence of communication delay and data packet dropout is studied.An alternate event-triggered mechanism under considering network delay and packet dropout is proposed.Asynchronous switching occurs due to the transmission of measurable transmission information and mode information based on event-triggered mechanism and the impact of network delay and packet dropout on the switched systems.The corresponding closed-loop system with error feedback controller is modeled as a time-delay system.The switching signal is designed based on the mode-dependent average dwell time condition.Sufficient conditions for the solvability of the event-triggered output regulation problem for switched systems are given with the maximum number of consecutive packet dropouts.Finally,the simulation results are applied to F-18 aircraft model to verify the effectiveness of the proposed method.