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research-article

ADAPTIVE CONTROL OF LINEAR TIME VARYING INTERVAL SYSTEMS

[+] Author and Article Information
Tayel Dabbous

Dep. of Elec. Eng. Higher Technological Institute Ramadan 10th City, Egypt
tayel-dab@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4035927 History: Received March 20, 2016; Revised January 24, 2017

Abstract

In this paper, we consider the adaptive control problem for a class of systems governed by linear time varying interval differential equations having unknown (interval) parameters. Using the fact that system output posses lower and upper bounds, we have converted the interval differential equation into two sets of ordinary differential equations that describe the behaviour of lower and upper bounds of system output. With this approach, interval analysis could be replaced by real analysis and hence adaptive control of interval systems can be treated as an ordinary adaptive control problem. Using variation arguments, we have developed the necessary conditions of optimality for the equivalent adaptive control problem. Finally, we present a numerical example to illustrate the effectiveness of the proposed (interval) control scheme.

Copyright (c) 2017 by ASME
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