A general fuzzy control scheme for nonlinear processes with stability analysis
type: Item
instance of: scholarly article
title: A general fuzzy control scheme for nonlinear processes with stability analysis
zbMATH Open document ID: 0959.93035
DOI: 10.1016/S0165-0114(97)00157-7
author: Yanyan Li
published in: Fuzzy Sets and Systems
publication date: 2000-03-09T00:00:00Z
review text: The paper discusses a control architecture for nonlinear systems composed of a family of ``local'' PI controllers whose activities are confined to small local regions and their aggregation is realized through fuzzy interpolation. The system under control is a SISO nonlinear process governed by the relationship \(dy/dt= f(y(t), u(t))\) with ``\(y\)'' and ``\(u\)'' being the state and input variable, respectively. The design of the controller is composed of three steps: (i) a fuzzy discretization of the system's operating regions that give rise to ``local'' regions, (ii) a design of linear controllers confined to these ``local'' regions, (iii) a fuzzy interpolation of the local controllers in order to realize a global control action. The study includes a Lyapunov-based stability analysis of such control systems. Experimental studies deal with a \(pH\) control problem.
reviewed by: Witold Pedrycz
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1398884
zbMATH Keywords: fuzzy control
zbMATH Keywords: adaptive systems
zbMATH Keywords: local control
zbMATH Keywords: nonlinear systems
zbMATH Keywords: aggregation
zbMATH Keywords: stability analysis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1398884