Design of Smooth Switching LPV Controller Based on Coprime Factorization and H∞ Performance Realization

Weilin Wu,Wei Xie,Toshio Eisaka,Liejun Li

doi:10.1109/access.2021.3102733

Abstract

This paper discusses the problem of designing smooth switching control based on the coprime factorization method. Aiming at the instantaneous chattering phenomenon generated by the linear parameter varying (LPV) controller during the switching moment, the moving region of the gain-scheduling variables is divided into a specified number of local subregions with overlapped region. Riccati inequality is used to solve the central controller for $H_{\infty} $ performance. The Youla free parameters are designed using the coprime factorization for each parameter sub-region by considering the system’s global and local performance requirements. Youla free parameter switching is used to improve the smoothness of switching and suppress transient response disturbance. Finally, the effectiveness of the method is verified by a simulation example.

Highlights

Since Shamma [1] proposed the linear parameter varying (LPV) system, it has solved the shortcomings of traditional variable gain control technology
Aiming at the instantaneous chattering phenomenon generated by the linear parameter varying (LPV) controller during the switching moment, the moving region of the gain-scheduling variables is divided into a specified number of local subregions with overlapped region
The advantage of this design method is that we design the Youla parameters of each sub-regions from the controller based on the coprime factorization technology, and introduce the parameter overlap division method to improve the smoothness of the switching

Summary

INTRODUCTION

Since Shamma [1] proposed the linear parameter varying (LPV) system, it has solved the shortcomings of traditional variable gain control technology. Chen [18] considered the LPV control of the delayed switching state feedback It linearly interpolated the controller variables on the switching surface to achieve smooth switching during the switching process and switching on the overlap region. Bianchi et al [25] proposed a switching LPV controller design method based on the idea of Youla parameterization. The controller design is decomposed into two steps, one focused on ensuring global stability and the other on achieving the desired performance in each subset It does not consider the smooth switching strategy. The Youla parameter of the overlapping area is obtained by linear interpolation of the Youla parameter of the two adjacent sub-regions The contribution of this word is to use the Youla parameter switch Q instead of the switch controller to achieve smooth switching.

DEFINITION AND PROBLEM STATEMENT

CENTER CONTROLLER DESIGN

SMOOTH SWITCHING DESIGN OF YOULA PARAMETERS

CONCLUSION