Switching Linear Parameter-Varying Controller Design With H∞ Performance Based on Youla Parameterization

Weilin Wu,Wei Xie,Liejun Li

doi:10.1109/access.2020.3029589

Weilin Wu, Wei Xie + Show 1 more

Open Access

https://doi.org/10.1109/access.2020.3029589

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Abstract

This article utilizes the Youla parameterization method to design a switching linear parameter-varying (LPV) output-feedback controller. The switching controller consists of several LPV controllers designed in advance and independently with corresponding $\text{H} \infty $ performance. Based on the Youla parameterization idea, the controller design procedure is decomposed into two steps. First, a central controller is designed to ensure global $\text{H} \infty $ performance. Second, a switching controller is constructed to achieve the $\text{H} \infty $ performance in each subset under arbitrary switching. This scheme is designed to develop state-space realizations of Youla parameters from the central controller. The realizations not only ensure that the closed-loop system satisfies the $\text{H} \infty $ performance under arbitrary switching but also guarantees the corresponding $\text{H} \infty $ performance for local subsystem at each fixed point. The simulation results show the effectiveness of the proposed method.

Highlights

INTRODUCTIONThe conventional control system design usually uses a linear time-invariant model
In many engineering applications, the conventional control system design usually uses a linear time-invariant model
This article presented an approach to design switching linear parameter varying (LPV) controller considering Youla parameterization

Summary

INTRODUCTION

The conventional control system design usually uses a linear time-invariant model. Due to the high complexity of physical systems, linear time-invariant models are often difficult to describe the dynamic behavior of physical systems To solve this problem, many scholars began to study linear parameter varying (LPV) systems [1], [2]. Under the uncertainty of the measurement of scheduling parameters, Zhao and Nagamune [25] proposed a systematic method to design output feedback switching LPV controller with L2 gain performance. Bianchi and Sánchez-Peña [28] proposed a new procedure to design a switching LPV controller based on the Youla parameterization idea, which only focused on ensuring global stability by the central controller. Despite the many research results mentioned above, there are few reported on design of switching LPV controllers which both consider the global system and local subsystem satisfies certain H ∞ performance under arbitrary switching.

DEFINITION AND PROBLEM STATEMENT

SWITCH LPV CONTROLLER BASED ON THE YOULA PARAMETRIZATION

CONCLUSION