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Main Authors: Hsu, Liu, Costa, Ramon R., Lizarralde, Fernando, Peixoto, Alessandro Jacoud
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.19601
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author Hsu, Liu
Costa, Ramon R.
Lizarralde, Fernando
Peixoto, Alessandro Jacoud
author_facet Hsu, Liu
Costa, Ramon R.
Lizarralde, Fernando
Peixoto, Alessandro Jacoud
contents A novel least-squares model-reference direct adaptive control (LS-MRAC) algorithm for multivariable (MIMO) plants is presented. The controller parameters are directly updated based on the output tracking error. The control law is crucially modified to reduce the relative degree of the error model to zero. A complete Lyapunov-based stability analysis as well as a tracking error convergence characterization is provided demonstrating that the LS-MRAC can achieve arbitrarily fast tracking while maintaining satisfactory parameter convergence for appropriate adaptation gains. Simulation results show a significant improvement in tracking performance compared to previous methods.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19601
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Arbitrarily Fast Multivariable Least-squares MRAC
Hsu, Liu
Costa, Ramon R.
Lizarralde, Fernando
Peixoto, Alessandro Jacoud
Systems and Control
A novel least-squares model-reference direct adaptive control (LS-MRAC) algorithm for multivariable (MIMO) plants is presented. The controller parameters are directly updated based on the output tracking error. The control law is crucially modified to reduce the relative degree of the error model to zero. A complete Lyapunov-based stability analysis as well as a tracking error convergence characterization is provided demonstrating that the LS-MRAC can achieve arbitrarily fast tracking while maintaining satisfactory parameter convergence for appropriate adaptation gains. Simulation results show a significant improvement in tracking performance compared to previous methods.
title Arbitrarily Fast Multivariable Least-squares MRAC
topic Systems and Control
url https://arxiv.org/abs/2412.19601