Research On Output Regulation And Adaptive Stabilization Of Time-delay Systems Base On Sample-data

The problem of output regulation and adaptive stabilization has always been a hot issue in control theory research.In recent decades,it has attracted a large number of scholars to carry out in-depth theoretical research on them.Firstly,in this paper,the output regulation problem of linear time-delay system based on sampled data control is considered.Based on the results of continuous time feedback controllers,two different types of sampling data feedback controllers,static and dynamic,are designed for the system respectively.Specifically,the designed sampled-data controller can solve the proposed output regulation problem of the linear time-delay system when the external signal is a constant signal and a time-varying bounded signal,and the upper bound of the maximum allowable sampling interval is given by theoretical analysis.Secondly,this paper studies the adaptive stabilization problem of stochastic higher-order nonlinear time-delay systems with markovian switching based on event-triggered control.Using the dynamic gain method and the homogeneous domain control design method,an adaptive output feedback controller based on event triggering mechanism is designed successfully.It can not only guarantee that the closed-loop system has a unique solution,but also by constructing a reasonable Lyapunov-Krasovishii functional,we also prove that all states of the closed-loop system are bounded almost surely and original system state is asymptotically stable in probability.In addition,it is explained that the event triggering mechanism does not have Zeno behavior.