| The degree of automation of chemical process equipment is one of the most important standards to measure the modernization of a country’s chemical industry,so the research on process equipment control has a unique practical significance and economic value.For such controlled objects with high degree of non-linearity and strong external interference,linearization is an effective means of processing,and in most cases,research should be carried out on the basis of linearization.Fuzzy control law can deal with nonlinear system effectively,but it has the problem that the machine computation is too large when the approximation accuracy is high.With the increasing complexity of the process system,a large number of parameter uncertainties exist in the process of system modeling,which also provides research value for the optimization of fractional control system.In the research of fractional-order fuzzy control,there are still some problems,such as the convergence speed of control process and too large control input,which can be effectively solved by sliding mode control.Different fractional order operations also affect the performance of the control system.It is important to find the optimal order of a class of fractional order controllers in improving the control performance of the system.In this paper,the fuzzy sliding mode control and fractional order optimal control of nonlinear systems are studied.By giving the optimal fuzzy sliding mode control parameter design method for a class of nonlinear systems,the above problems are solved.This paper presents a solution to the problem that the convergence speed of single fuzzy controller in nonlinear systems is slow and the convergence accuracy depends on increasing the number of fuzzy rules.A fractional-order fuzzy controller is designed,and the nonlinear system is processed by fractional-order fuzzy linearization,which improves the convergence speed and reduces the number of fuzzy rules.A new fractional-order fuzzy sliding mode controller is designed to solve the uncertainty problem of nonlinear system tracking.Nonlinear system is linearized processing by using fractional order fuzzy linearization method.The dissipative method is used as the performance index to solve the parameters of the controller.The stability of the controller is proved by the Lyapunov method and the steps to solve the parameters are given.Then the sliding mode controller is designed for the fuzzy linearization model and the obtained gain matrix.Based on the fractional order fuzzy sliding mode controller designed in this paper,the optimal order of the controller is studied to solve the problem of the comprehensive performance of the controller for uncertain nonlinear systems.In consideration of convergence rate and input short selling,a new performance index is given.The parameters of the controller satisfying the optimal control condition are solved under the performance index condition.The optimal fractional order is obtained under the condition,and the order of the optimal fractional order controller for a class of fractional linear systems is obtained.The simulation results show that the method and the conclusion are effective... |
