Design Of Asynchronous Switching Control System In Network Environment

The popularization of networked control system makes the networked control of multi class systems possible.Taking the switched system as an example,the switching systems placed in the network environment,is not only increases the flexible cooperation ability of the switching systems,but also makes the control problem of the switching system more complex.For a class of switching control system under network environment which sensors are clock-driven and controllers are event-driven,its operation process is analyzed and the components of network induced delay are identified.In order to deal with issues of controller delay switching and control input delay caused by network induced delay,an asynchronous switching system model is established by introducing a delay function.In this model,it is considered that the delay function has different ranges in the operation intervals of the subsystem and the controller matching or mismatching.A network induced delay-dependent multi Lyapunov function method is proposed.On each matched or mismatched interval,Asymmetric Lyapunov function that the upper and lower bounds of the compensation integral terms depend on the variation range of the delay function related to current interval is constructed to accurately compensate the network induced delay.Above,the Lyapunov asymptotic stability condition of the switching system is derived.Based on the current research on exponential stability of networked switching control systems,the synthesis condition of exponential stability for a class of switched systems is improved.According to the nonzero boundedness of network induced delay,multiple diagonal matrices and arbitrary matrices with proper dimensions are introduced by Newton Leibniz formula,and the exponential stability condition of the switching system is derived and proved.The network induced delay-dependent multi Lyapunov function method is improved.Based on the above Lyapunov functions,the related matrices are introduced to complete the upper and lower bounds of the compensation integral terms to construct the Lyapunov functions which are symmetric on the matched intervals and the mismatched.Therefore,an exponential stability condition with lower conservative is obtained with multiple diagonal matrices and arbitrary matrices with proper dimensions introducing by using Newton Leibniz formula.Finally,the simulation results show that the control methods proposed in this paper have desirable stability in the network environment.