Q‐learning‐based H control for LPV systems

基于Q学习的LPV系统H控制

Hongye Wang, Jiwei Wen, Haiying Wan, Huiwen Xue

DOI: 10.1002/asjc.3511

期刊: Asian Journal of Control

摘要

Abstract In this paper, a model‐free H ∞ control method is developed for discrete‐time linear parameter‐varying (LPV) systems by leveraging Q‐learning, which employs the data encompassing system states, control inputs, exogenous disturbance, and time‐varying convex hull rather than the dynamical model known a priori. A policy iteration algorithm presented via linear matrix inequality formed by such collected data is developed with convergence guarantee. Our analysis demonstrates that, in the presence of sufficiently rich disturbances, the attenuation level converges to a lower value than the traditional H ∞ control solution derived from an exact LPV model. A numerical example is demonstrated to verify the stabilization, disturbance attenuation, adaptivity, and convergence of the H ∞ attenuation level. Moreover, a continuous stirred tank reactor (CSTR) approximated by a discrete‐time LPV system is employed to show the practical potential of the developed model‐free approach.

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期刊信息

期刊:

ISSN: 1561-8625

国际分区

类目分区
AUTOMATION & CONTROL SYSTEMS2

国内分区

类目分区
计算机科学4
计算机科学, 自动化与控制系统4
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