Adaptive fuzzy logic control of discrete-time dynamical systems
type: Item
instance of: scholarly article
title: Adaptive fuzzy logic control of discrete-time dynamical systems
zbMATH Open document ID: 0942.93020
DOI: 10.1016/S0005-1098(99)00143-0
author: M. W. Vandegrift
author: Frank L. Lewis
author: Sarangapani Jagannathan
published in: Automatica
publication date: 2000-08-21T00:00:00Z
review text: The aim of this paper is to describe an approach to tracking control for a class of nonlinear dynamical systems with unknown properties using a discrete-time fuzzy logic controller. The discrete-time feature is important because fuzzy logic controllers are most often implemented on digital computers. The authors present a design algorithm and provide a stability proof for an adaptive, model free, universal fuzzy logic controller that uses basis vectors derived from the fuzzy system. By contrast, most approaches with standard adaptive control use basis vectors that depend on the unknown plant, and are often very tedious to compute. To adapt the fuzzy system parameters, the authors use an approach based on \(\varepsilon\)-modification. With very modest assumptions about the class of discrete-time nonlinear systems, the authors use Lyapunov methods to show that their adaptive fuzzy logic controller guarantees uniform boundedness of the closed-loop signals, and the controller achieves the desired tracking control. Although passivity cannot ordinarily be guaranteed in adaptive fuzzy logic control, the authors' approach does guarantee desirable passivity properties. The authors also provide simulation results that show good tracking of nonlinear dynamics without any a priori information.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1394977
zbMATH Keywords: discrete-time fuzzy controller
zbMATH Keywords: tracking
zbMATH Keywords: nonlinear dynamical systems
zbMATH Keywords: design
zbMATH Keywords: stability
zbMATH Keywords: universal fuzzy logic controller
zbMATH Keywords: adaptive control
zbMATH Keywords: passivity
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
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Wikidata QID: Q127472884
description: scientific article; zbMATH DE number 1394977