Sliding Mode Controller Design For Event-triggered Systems

With the rapid development of computer and communication technology,the traditional control system has developed to complex network control system.The main feature of network control system is that system components transmit information through a shared network with limited bandwidth.Therefore,how to improve the utilization rate of communication resources has become the focus of research at home and abroad.As an effective strategy to deal with limited communication bandwidth,event-triggered control strategy can effectively reduce the transmission frequency of signals in communication networks and maintain good performance of the system.Sliding mode control is an effective robust control strategy against uncertainties and external disturbance.Combining event-triggered strategy with sliding mode control can not only improve the utilization rate of network resources,but also effectively solve the problem that general systems are easily affected by modeling errors and random interference.Therefore,the research on the combination of event-triggered strategy and sliding mode control is of great significance to the development of control system.In this paper,based on the event-tiggered strategy,taking one-sided Lipschitz(OSL)nonlinear system,singular semi-Markov jump system and neutral Markov jump system as models,the corresponding sliding mode controllers are designed such that the desired system performances are satisfied.The main research work is as follows:1.A design method of event-triggered sliding mode controller is proposed for a class of OSL nonlinear systems.Firstly,the observer is designed according to the event-triggered strategy.Secondly,the integral sliding mode surface and observer-based controller are designed.Then,according to the selected Lyapunov-Krasovskii function,the sufficient conditions for the finite time boundedness of the system are obtained,and the calculation method of the controller gain matrix is given.After that,two simulation examples are given to verify the effectiveness of the method.2.A design method of event-triggered adaptive sliding mode controller is proposed for a class of singular semi-Markov jump systems.Firstly,according to the event-triggered strategy,a suitable observer is designed.Secondly,the observer-based integral sliding mode surface and adaptive sliding mode controller are designed.Then,the regularity,impulsiveness and stochastic stability of singular systems are analyzed,and the sufficient conditions for stochastic admissibility of the system and the solution method of controller gain matrix are obtained Finally,two simulation examples are given to verify the effectiveness of the method.3.A design method of event-triggered sliding mode controller is proposed for a class of uncertain neutral Markov jump systems.Firstly,according to the dynamic event-triggered strategy,an observer is designed.Secondly,the observer-based sliding mode surface and sliding mode controller are designed,and the accessibility of sliding mode surface is analyzed.Then,by constructing Lyapunov-Krasovskii function,a sufficient condition for stochastic stability of the system satisfying H∞ performance is established.Finally,two numerical simulations are given to verify the effectiveness of the designed method.