Optimal Decoupling Control Of Linear Multivariable Systems And Application

In the actual industrial production processes,the plants to be controlled are usually multi-input and multi-output(MIMO)systems,and there is a coupling effect between the system variables.Due to the existence of the coupling,satisfactory control performance can hardly be achieved by using conventional control methods.While the current decoupling control methods don't considered the requirements for optimal performance of the system during the controller designing,and it cannot meet the requirements of the increasing optimal performance index.Therefore,it affects the realization of the integrated optimization control of complex industrial processes with the goal of saving energy and reducing consumption.In order to realize the decoupling control of multivariable system,and make it meet certain optimal performance requirements.This thesis relies on the National Natural Science Fund Project "nonlinear multivariable adaptive optimal decoupling control and its application in steel ball mill coal pulverizing system(61573090)",and proposed the optimal decoupling control method for linear multivariable strong coupling system.The optimum performance of the method is analyzed,and the simulation and application research are carried out.The main contents of this thesis are summarized as follows:(1)For continuous-time linear multivariable systems and discrete-time linear multivariable systems,this thesis proposed the optimal decoupling control algorithm respectively by combining the decoupling control and optimal tracking control,and the optimum performance of the method is analyzed.Firstly,the system is decoupled by the method of feed forward and output feedback by introducing the intermediate dummy variable.Then,for the decoupled system,the output of the system can track any reference input by using the optimal tracking control method.Finally,for the numerical example,the optimal decoupling control method is used to carry out the simulation experiment,and compared with the optimal tracking control method.Simulation results show that the proposed method can achieve a better decoupling tracking control of the strong coupling system,and access to obtain satisfactory results,and obtains some optimum performance.(2)The optimal decoupling control method is applied to the process of industrial operation.For a kind of strong coupling industrial operation process,this thesis proposed an operational feedback optimal decoupling control method,which make the actual value of the operation index is controlled within a certain range,and can give the loop control layer setting value in real time dynamically.In the loop control layer,the state feedback control method is used to realize the tracking control of the loop setting value.And in operation layer,the optimal decoupling control is adopted to realize the decoupling control of each operation index and the control inputs,also make the actual values of operation indicator track set values.A series of comparative simulation experiments were carried out for the continuous-time industrial process and the industrial process based on data sampling,respectively.The simulation results show that the proposed method can achieve a better industrial process operation feedback control.(3)The optimal decoupling control method is applied to the steel ball mill coal pulverizing system.Firstly,a linearization controller design model of the steel ball mill coal pulverizing system is designed.Then,the optimal decoupling control method is used to simulate for steel ball mill coal pulverizing system,and comparing with the general optimal tracking control method.The simulation results shows the effectiveness of the optimal decoupling control method,which shows that the method can realize the automatic control of the ball mill.