The Research Of Switching Control Strategy Based On LPV Systems

In the field of control,with the rapid development of technology and the continuous improvement of control quality requirements,simply rely on a certain system or a system control mode has been unable to meet the requirements of control,the hybrid system made this problem can be solved.The switching system is a typical hybrid system.In short,the switching system is composed of a series of subsystems and coordination of these subsystems switching logic.Different control methods are adopted in different areas of need to achieve optimal control effect.Control system switching control logic has also become an important guarantee for the stable operation of the system.In recent years,with the Linear Parameter-Varying(LPV)system of this nonlinear system is widely used in practical production,the existing problems are gradually revealed.In the design of the LPV system,the LPV system which is often due to the parameter range is too large to ensure good control effect in the parameter space in anywhere.This paper proposes a switching on linear parameter varying system control method,the scheduling parameters set is divided into multiple overlapping subsets,respectively,the controller design is carried out in the subsets,and control output in overlapped subsets are interpolated from two adjacent subsets.Two adjacent subsystems run in the overlapped set at the same time,and the result of the operation is transformed into the system output after the operation of the weighting function.The corresponding subsystem is invoked when the scheduling parameters change with time to enter the corresponding subset.At the same time,in order to reduce the conservativeness of the designed system,the number of switching times in the average dwell time will also be taken into account.The main work of this paper is as follows:Firstly,a series of LPV system state feedback controller is designed for a given set of parameters,which guarantees the closed-loop stability and satisfies the given robust H? performance.Parameter dependent Lyapunov function matrix is coupled with the parameter matrix of the system,and the relaxation matrix is introduced to decouple the matrix form.The obtained matrix function is infinite dimensional problem,the grid technique and the approximate basis function method are used to solve the matrix.The switching control logic is designed to complete the switching control between subsystems.Then,a series of LPV system output feedback controller is designed for a given set of parameters,which guarantees the closed-loop stability and satisfies the given robust H? performance.Since the matrix function of the solution is infinite,the solution matrix is transformed into the parameter matrix by using the grid technique and the approximate basis function method.When the controller is constructed,the derivative of the matrix function is needed,but the rate of change of the scheduling parameter is not real time,so it is possible to fix one of the matrix.The switching control logic is designed to complete the switching control between subsystems.