Robust \(H_\infty\) control for a class of nonlinear distributed parameter systems via proportional-spatial derivative control approach
type: Item
instance of: scholarly article
title: Robust \(H_\infty\) control for a class of nonlinear distributed parameter systems via proportional-spatial derivative control approach
zbMATH Open document ID: 1406.93113
DOI: 10.1155/2014/631071
author: Chengdong Yang
author: Jianlong Qiu
author: Jun-Wei Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper addresses the problem of robust \(H_\infty\) control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs). By using the Lyapunov direct method and the technique of integration by parts, a simple linear matrix inequality (LMI) based design method of the robust \(H_\infty\) P-sD controller is developed such that the closed-loop PDE system is exponentially stable with a given decay rate and a prescribed \(H_\infty\) performance of disturbance attenuation. Moreover, a suboptimal \(H_\infty\) controller is proposed to minimize the attenuation level for a given decay rate. The proposed method is successfully employed to address the control problem of the FitzHugh-Nagumo (FHN) equation, and the achieved simulation results show its effectiveness.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 7022777
zbMATH Keywords: robust \(H_\infty\) control
zbMATH Keywords: nonlinear distributed parameter systems
zbMATH Keywords: proportional-spatial derivative control
Wikidata QID: Q59040195
describes a project that uses: LMI toolbox
describes a project that uses: Control System Toolbox
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/631071
OpenAlex ID: W2021286290
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description: scientific article; zbMATH DE number 7022777