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Direct Adaptive fuzzy control with less restrictions on the control gain

journal contribution
posted on 2023-05-16, 20:58 authored by Phan, PA, Timothy GaleTimothy Gale
In the adaptive fuzzy control field for affine nonlinear systems, there are two basic configurations: direct and indirect. It is well known that the direct configuration needs more restrictions on the control gain than the indirect configuration. In general, these restrictions are difficult to check in practice where mathematical models of plant are not available. In this paper, using a simple extension of the universal approximation theorem, we show that the only required constraint on the control gain is that its sign is known. The Lyapunov synthesis approach is used to guarantee the stability and convergence of the closed loop system. Finally, examples of an inverted pendulum and a magnet levitation system demonstrate the theoretical results.

History

Publication title

International Journal of Control, Automation, and Systems

Volume

5

Issue

6

Pagination

621-629

ISSN

1740-7516

Department/School

School of Engineering

Publisher

Inderscience

Place of publication

USA

Rights statement

Copyright 2007 Institute of Control, Automation, and Systems Engineers

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

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