Publishing House SB RAS:

Publishing House SB RAS:

Address of the Publishing House SB RAS:
Morskoy pr. 2, 630090 Novosibirsk, Russia



Advanced Search

Avtometriya

2011 year, number 3

Use of a Relay Controller for Automatic Extremum Seeking in Nonlinear Systems

G. A. Frantsuzova
Novosibirsk State Technical University
frants@sintez.nstu.ru
Keywords: control, extremum seeking, nonlinear system, sliding mode, self-oscillations
Pages: 84-91

Abstract

This paper presents a new approach to solving the problem of automatic extremum seeking for a nonlinear one-channel object with inaccurately known parameters. Its distinguishing feature is the implementation of a two-loop system with a sliding-mode inner loop which includes the dynamic part of the object. Using a special dynamic subsystem in this loop as a device for estimating state variables leads to self-oscillations in it. The latter are proposed to be used as search oscillations to estimate the gradient of the static quality function, as is done in the synchronous detection method. Automatic motion to an extremum is provided by the integral control of the outer loop of the system. Features of the proposed approach are illustrated by simulation.