Output Feedback Model Reference Adaptive Control of Piecewise Affine Systems With Parameter Convergence Analysis

Tong Liu, Martin Buss

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this article, the output feedback-based direct model reference adaptive control of piecewise affine systems and its parameter convergence are investigated. Under the slow switching assumption, it is shown that all the closed-loop signals are bounded and the output tracking error is small in the mean square sense. Built upon this result, the estimation error of controller parameters is proved to converge to a residual set if the input signal is sufficiently rich. The relationship between the size of this residual set and the switching frequency is established. Moreover, the convergence of the estimated controller parameters to their nominal values can be achieved for a certain subsystem given that this subsystem is activated for infinitely long time. Simulation results validate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)3707-3714
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume67
Issue number7
DOIs
StatePublished - 1 Jul 2022

Keywords

  • Adaptive control
  • output feedback
  • piecewise affine (PWA) system

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