Stabilization And H_? Control Of Discrete Systems With Interval Time-varying Delay

With the development of computer control technology,people gradually realized that the phenomenon of time-delay exists in control system,especially chemical reaction control system and complex network control system.Delays often affect the performance of the system,and even lead to instability of the original system.Therefore,the stability research of time-delay systems has received close attention from scholars at home and abroad.After decades of research,there have been quite a few achievements.Most of the research results obtained delay stability criterion is a sufficient condition for the system stability,so the stability of the conservative criteria can still be reduced.On the basis of previous studies,this dissertation analyzes in depth the discrete-time systems with time-varying delay and obtains the conservatively lower delay-dependent stability criteria and gives the controller design method.Furthermore,this new controller Design method Inverted pendulum control system.This article reads as follows:Considering the discrete time-varying discrete-time systems,the stability of the discrete-time systems with time-varying delays is studied systematically.By constructing a suitable Lyapunov-Krasovskii function(LKF)and combining with the new finite and inequality techniques,Differentiation for more precise delineation,resulting in less conservative stability criteria.Based on the stability analysis,the H?performance of the discrete time-delay system is analyzed.Then,based on the analysis of stability and H? performance,we design the stabilization controller and H? controller.The validity of the conclusion obtained in this thesis is validated by numerical simulation for each part of the results.Finally,a typical inverted pendulum system is given.The simulation results verify the correctness and reliability of the results obtained in this thesis.