2002•Unpublished venueRequires access

Adaptive repetitive control of nonlinear systems

Yu Jiang, D.J. Clements, Timothy Hesketh

Open publisher page 7 citations

Abstract

This paper considers repetitive control of a class of nonlinear uncertain systems. We present a simple repetitive control scheme for nonlinear systems without the assumption of linearisability, and an adaptive repetitive control scheme when the upper bound of the uncertainties is uncertain. Asymptotic stability is proved for the repetitive control system and uniform boundedness is proved for the adaptive repetitive control system.

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What this paper is about

This paper considers repetitive control of a class of nonlinear uncertain systems. We present a simple repetitive control scheme for nonlinear systems without the assumption of linearisability, and an adaptive repetitive control scheme when the upper bound of the uncertainties is uncertain. Asymptotic stability is proved for the repetitive control system and uniform boundedness is proved for the adaptive repetitive control system.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper considers repetitive control of a class of nonlinear uncertain systems. We present a simple repetitive control scheme for nonlinear systems without the assumption of linearisability, and an adaptive repetitive control scheme when the upper bound of the uncertainties is uncertain. Asymptotic stability is proved for the repetitive control system and uniform boundedness is proved for the adaptive repetitive control system.

Key concepts: Repetitive control, Control theory (sociology), Adaptive control, Nonlinear system, Scheme (mathematics), Control system, Computer science, Stability (learning theory)

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