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

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 m...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2022-07, Vol.67 (7), p.3707-3714
Main Authors: Liu, Tong, Buss, Martin
Format: Article
Language:English
Subjects:
Adaptive control
Aerospace electronics
Controllers
Convergence
Mathematical models
Model reference adaptive control
Nonlinear systems
Output feedback
Parameters
piecewise affine (PWA) system
Subsystems
Switches
Switching
Tracking errors
Trajectory
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3107241