Piecewise \(H_{\infty}\) static output feedback controller design for nonlinear systems based on T-S affine fuzzy models
type: Item
instance of: scholarly article
title: Piecewise \(H_{\infty}\) static output feedback controller design for nonlinear systems based on T-S affine fuzzy models
zbMATH Open document ID: 1394.93168
DOI: 10.1155/2015/734934
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper is concerned with the problem of designing \(H_{\infty}\) controllers via static output feedback controller for a class of complex nonlinear systems, which is approximated by continuous-time affine fuzzy models. A decomposition method is presented to divide the output-space into different operating regions and interpolation regions. Based on this partition, a novel piecewise controller with affine terms via static output feedback is designed. By using a dilated linear matrix inequality (LMI) characterization, some nonconvex conditions are converted into convex ones to make the asymptotic stability and \(H_{\infty}\) performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6927119
Wikidata QID: Q59119079
author: Xin-Gang Zhao
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/734934
OpenAlex ID: W2095235193
cites work: Fuzzy identification of systems and its applications to modeling and control
cites work: Analysis and design for a class of complex control systems. I: Fuzzy modelling and identification
cites work: Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya's theorem
cites work: Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
cites work: Improved fuzzy control design for nonlinear Markovian-jump systems with incomplete transition descriptions
cites work: \(H_\infty\) state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain
cites work: Static output-feedback stabilization of discrete-time Markovian jump linear systems: a system augmentation approach
cites work: Dynamic output-feedback guaranteed cost control for linear systems with uniform input quantization
cites work: An ILMI approach to robust \(\mathcal H_2\) static output feedback fuzzy control for uncertain discrete-time nonlinear systems
cites work: Q3090164
cites work: Static output feedback stabilization for nonlinear interval time-delay systems via fuzzy control approach
cites work: Robust \(H_{\infty}\) fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties
cites work: Static output feedback \(H_{\infty }\) control of a class of nonlinear discrete-time systems
description: scientific article; zbMATH DE number 6927119