Constrained fuzzy controller design of discrete Takagi-Sugeno fuzzy models.
type: Item
instance of: scholarly article
title: Constrained fuzzy controller design of discrete Takagi-Sugeno fuzzy models.
zbMATH Open document ID: 1051.93057
DOI: 10.1016/S0165-0114(02)00276-2
author: Wen-Jer Chang
author: Chein-Chung Sun
published in: Fuzzy Sets and Systems
publication date: 2003-04-28T00:00:00Z
review text: The contribution of this paper is to provide a method in the design of a discrete fuzzy controller with linear output feedback gains for the discrete-time Takagi-Sugeno fuzzy systems. This method is based on the concept of the PDC (parallel distributed compensation) and it is developed according to a specified common observability Gramian, which can meet system performance requirements such as energy constraints and robust constraints. In the PDC approach, each control rule is designed from a corresponding rule of a Takagi-Sugeno fuzzy system. The designed fuzzy controller shares the same fuzzy sets with the fuzzy model in the premise parts. In linear matrix inequalities (LMI)-based design processes, the linear output feedback control gains are first determined so that all subsystems are stable. It is then necessary to find a common P matrix of the Lyapunov inequalities for the sufficient stability conditions. In contrast to the LMI-based method, the approach presented in this paper first assigns a desired common observability Gramian instead of the common P matrix. Subject to this specified common observability Gramian, the solutions of the linear output feedback control gains are then directly obtained by the present design methodology.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 1902821
zbMATH Keywords: discrete Takagi-Sugeno fuzzy systems
zbMATH Keywords: observability Gramian
zbMATH Keywords: singular value decomposition
zbMATH Keywords: generalized inverse theory
zbMATH Keywords: parallel distributed compensation
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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full work available at URL: s0165-0114(02)00276-2
OpenAlex ID: W2005163944
description: scientific article; zbMATH DE number 1902821