Controller Design Of Networked Control System Based On Asymptotic Behavior Analysis

Networked control system can be considered as a discrete digital control system,so the sampling period can affect the performance of the system.On the premise of a system's stability,calculating the stability region of the sampling period can provide the basis for the research in the practical application or other fields.At the same time,in the perspective of reducing sampling frequency and saving system resources,studying the stability region of the sampling period by the controller design is meaningful.In this thesis,the stabilization study of networked control systems with hyper-sampling mode is on the basis of necessary and sufficient condition.And a sampling sequence contains more than two sub sampling periods.Therefore,the nonlinear matrix inequality for the coupling of multidimensional variables will be presented in stabilization study,while there is no analytic method to solve the problem effectively.The asymptotic behavior analysis method is used to deal with the difficult problem effectively in the time-delay system.In this thesis,we will put the asymptotic behavior analysis method promoted and applied in networked control systems,and do some researches on controller design and the solution of sampling period stability region.The asymptotic behavior analysis method has been widely used in time-delay systems.And in this thesis,the method is summarized and applied to the networked control systems.Firstly,a thought of perturbation analysis and different kinds of critical pairs of time-delay systems will be described in detail.Secondly,asymptotic behavior descriptions of the single critical and critical imaginary with two roots will be given comprehensively,and its analytical method and numerical examples will be given too.After this,asymptotic behavior analysis method can further be introduced into networked control systems.Based on all of these,we will give the method of the parameters designing.Then,based on the asymptotic behavior analysis,algorithm design of the controller and stabilization study of the networked control systems is given.In this algorithm,the traditional single-sampling study is understructure,and with the aid of the maximum sampling period of single sampling mode,parameters scanning of sampling sequence of hyper-sampling mode can be achieved.For the critical stability boundary of hyper-sampling mode,the feedback gain matrix can be redesigned by analyzing the asymptotic behavior of the critical characteristic roots with respect to the elements of the feedback gain matrix.In this method,we can get the whole range of the sampling period.In the end of this thesis,the simulation results show that the effectiveness of the controller with networked control systems.For the local optimum rather than global optimum on the design of the controller,the article also explains the conservatism.In this thesis,the asymptotic behavior analysis is introduced to networked control systems,and the corresponding method of algorithm arrangement and feedback gain design are given.So the traditional difficult problem that the multi dimensional variable coupling cannot realize the analytical solution can be solved successfully,and it also provides a new idea for the designing of system controller and stabilization study.Finally,the main work of this thesis is summarized and some future researcher directions are put forward.