Stability Region Analysis Of Controller Parameter Space In Multivariable Time-delay Systems

In the actual industrial scene,the system inevitably exists time delay phenomenon.The existence of time delay tends to adversely affect the system control performance,and even causes the system instability.Therefore,the research on the time-delay system has practical significance for the analysis and design of control system,and has always been the focus of research in the field of control.At the same time,it is difficult to obtain precise controlled object model in the process of control.The simplification of the object model,the change of the outside environment,the aging of the system components will bring about the system uncertainty.How to ensure the stability of the system under uncertainty is the precondition of system operation,while also is one of the research hotspots of scholars.This paper focuses on the principle and method of stability analysis for time-delay systems with complex structure and complex plants,including the stability of the stability of the complex structure with disturbance observer and multi variable system.On the basis of summarizing the general idea of solving the stable domain of parameters in the system,the solution idea is applied to the multivariable time-delay system,and a general parameter stability domain solution is obtained.In the light of the above problems,this paper firstly introduces the Kharitonov theorem and its related theorem,and based on the unit negative feedback system,the stability analysis of linear time-invariant delay system and parameter uncertain time-delay system is carried out.The research object extends from the integer order to the fractional order plant.Then,on the basis of previous research results,the stability analysis of complex structures with disturbance observer is presented.In view of the problem of system instability that may be caused by the inverse of the model and the large uncertainty of the model,this paper analyzes the stability region of filter parameters,and the parameter range of the inner loop robust stability can be obtained,and the general solution of inner loop parameter is obtained.Based on the stability of inner loop,this paper further analyzes the stability region of the controller parameters of closed-loop system.When the controlled model is uncertain,especially the uncertainty is large,it is not reliable to use the model in the controller design.There will be a large error in the stability range of the controller parameters.Therefore,in this paper,the inner loop is taken as the actual plant to obtain the exact stability range and the general solution formula of the controller parameters.Finally,the general idea of solving the parameter stability domain of the system is summarized according to the second and third chapter.Finally,this paper extends from a single variable system to a multivariable system.In this paper,the internal model controller with good robustness,less adjusting parameters and simple structure is adopted.The stability analysis is carried out according to the method of solving the stability of the parameters,and the solution of the stability range of the internal model controller is obtained.Finally,an improved anti-disturbance filter is designed for non-square system with input and output disturbances.