RESEARCH PAPERS: Additional Technical Paper

Application of Model Reference Adaptive Techniques to a Class of Nonlinear Systems

[+] Author and Article Information
Toshio Yoshimura

Department of Mechanical Engineering, Tokushima University, Tokushima, Japan

Masayoshi Tomizuka

Mechanical Engineering Department, University of California at Berkeley, Berkeley, Calif. 94720

J. Dyn. Sys., Meas., Control 103(2), 158-163 (Jun 01, 1981) (6 pages) doi:10.1115/1.3139656 History: Received February 25, 1981; Online July 21, 2009


This paper is concerned with the convergence analysis of an identification algorithm for a class of nonlinear dynamic systems. The class includes systems that can be separated into symmetric zero-memory nonlinear gain parts and linear dynamic parts. A model reference adaptive technique is applied to the identification of such a nonlinear dynamic system after taking the following three points into consideration: 1) approximation of the nonlinear characteristics by a set of functions, 2) introduction of a set of parameters to obtain a multi-input, single-output system which is equivalent to the nonlinear system and 3) selection of an appropriate input signal. The convergence analysis of the proposed identifier is investigated from the stochastic view-point. A numerical example is presented to illustrate the effectiveness of the proposed identifier.

Copyright © 1981 by ASME
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