Design And Application Of Optimal Interval Controller For Interval System

The conventional feedback control system is based on the controlled object model for analysis and design,but in the actual project,the model parameters of the controlled object often have uncertainty,which brings difficulties to the system analysis and design.The theory of parameter robust control produced in 1970s and 1980s regards the control object as an interval transfer function(transfer function with interval parameters,i.e.transfer function family)for analysis and design.Based on this theory,the design of interval robust controller has achieved many results.However,it is not enough to only consider the robust stability in the design of control system,but also consider the performance index besides the stability.For example,when considering the factors of product quality,energy and material consumption and system controllability,robust controller can only guarantee the stability of the system,and can not guarantee the optimal performance of the system,so that the system energy consumption is large and the controllability is poor,which is not conducive to the industrial production environment.This paper presents two methods to design the optimal interval controller based on Kahritonov theorem and interval particle swarm optimization algorithm,and to design the optimal interval controller based on interval operation directly.In order to ensure the stability of the interval system and meet the requirements of the optimal performance index of the interval system,a controller model with interval parameters(i.e.controller model set)is obtained.The optimal interval controller satisfies both the stability and the optimality requirements.It can make up for the defects of the interval robust controller,reduce the control frequency and improve the economic benefits.In this paper,the velocity control system of the detector in the pipeline is taken as the research object,and the uncertain parameter model of the detector in the pipeline is studied by the two methods proposed in this paper.The specific research work of this paper includes:First of all,the design of interval system controller is summarized,including the research background and significance,the research status of interval system controller design,and the related research of pipeline detector speed control is briefly introduced.Secondly,aiming at the problem of optimal controller design of interval system,considering that the existing literature is based on the point-to-point domain,and the design method is conservative,an optimal interval controller design method based on Kharitonov theorem and interval optimization algorithm is proposed,which can directly solve the variable optimization in the interval domain,thus a group of controllers can be obtained,which can guarantee the interval At the same time,the quadratic performance index of interval system is optimized.However,to design the controller based on Kharitonov theorem,it is necessary to convert the interval system to the deterministic system.The conversion process is complex,there are various errors and the controller design type is limited.In view of these problems,this paper also proposes to design the optimal interval controller directly by combining the vertex method and the interval optimization algorithm for the interval system without conversion.The stability of the controller is analyzed.Finally,through the analysis of the motion state of the internal detector,the interval parameter model of the internal detector is obtained,and the optimal interval controller designed by the above two methods is applied to control,and compared with the traditional method,the superiority of the algorithm proposed in this paper is verified.At the end of this paper,we summarize this paper,and put forward the next research work and the future prospects for the optimal interval controller design of interval system.