Robust Right Coprime Factorization Control For A Class Of Linear Systems

The actual control system to which we are exposed generally contains both model error and external interference,while it is difficult to get accurate models of the system.Moreover,there will be a number of uncertainty factors and all kinds of external interference in the system.The above factors will seriously affect the stability control of the system.In the current control system design method,the influence of model error and external disturbance on system performance is handled by the dynamic uncertainty of the system.In view of the influence of the uncertainty,this paper presents and studies the robust stability control method based on operator observer,obtains results of specific robust stability conditions of the system and corresponding accurate tracking conditions.After ensuring robust stability of the system,further tracking control is carried out.On the basis of operator theory,robust right co-prime decomposition method is a relatively novel one of many existing methods for robust control of the system,which has great effect on the robust control of linear systems with uncertainty.Therefore,in view of a linear system that satisfies certain conditions,firstly,the robust stability of the system is guaranteed by using the method of robust right co-prime decomposition based on operator theory.Secondly,a new kind of controller design based on robust right co-prime decomposition is proposed,which is using expected pole and Bezout identity for the design of control system operator.On this basis,the tracking control of the system is further studied.Thirdly,how to design a tracking control system for linear systems to ensure robustness is analyzed and proved without considering the influence of the disturbance.In the end,we shall use a robust right co-prime decomposition method to design the controller of a specific motor system,and carrying out the related simulationexperiment to verify the control effect,then analyze the robust stability of the control system by experimental results,further design tracking controller based on the theoretical analysis of the tracking operator without regard to the influence of the disturbance.As for the actual motor system,this paper designs a PI tracking controller to realize its tracking feature,tracking and controlling the different input signals through simulation experiments,and verifies the tracking effect of the tracking controller according to relevant results.