Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach
type: Item
instance of: scholarly article
title: Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach
zbMATH Open document ID: 0962.93060
DOI: 10.1016/S0020-0255(99)00129-2
author: Jing Li
author: Hua O. Wang
author: David Niemann
author: Kazuo Tanaka
published in: Information Sciences
publication date: 2001-06-18T00:00:00Z
review text: This study is devoted to a unified design of dynamic feedback controllers for nonlinear systems described by Takagi-Sugeno rule-based models. These models assume the form of local linear dependencies with the dynamic part governed by the expression \[ \text{if parameters }p_i(t)\dots\text{then }dx/dt= A_ix(t)+ B_iu(t) \] and the output relationship described by the rules \[ \text{if parameters }p_i(t)\dots\text{then }y(t)= C_ix(t), \] \(i= 1,2,\dots, n\) with \(x(t)\), \(u(t)\) and \(y(t)\) denoting the state, input and output variables, respectively. The underlying control is proposed in the form of a dynamic parallel distributed compensation viewed as a nonlinear dynamic feedback control. In the proposed design, both stabilization and multi-objective control synthesis are covered. It is shown that this design can be formulated as a linear matrix inequality (LMI) problem. A numerical example (control of an inverted pendulum) is included.
reviewed by: Witold Pedrycz
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1478245
zbMATH Keywords: fuzzy control
zbMATH Keywords: dynamic feedback controllers
zbMATH Keywords: nonlinear systems
zbMATH Keywords: Takagi-Sugeno rule-based models
zbMATH Keywords: stabilization
zbMATH Keywords: multi-objective control synthesis
zbMATH Keywords: linear matrix inequality
describes a project that uses: QDES
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1478245