Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control

Hui Sun; Naira Hovakimyan; Tamer Başar

doi:10.1109/CDC.2013.6761088

Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper presents an L1 adaptive controller for nonlinear Multi-Input Multi-Output (MIMO) systems with unmatched uncertainties in the presence of both state and input quantization. Uniform quantization is employed with hysteresis, and the closed-loop system output is shown to track that of a stable reference system. Performance bounds for system's state and input signals are obtained, and it is shown that the system performance can be systematically improved by increasing the adaptation rate or improving the state and input quantization. Simulations are provided to corroborate the theoretical results.

Original language	English (US)
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7546-7551
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6761088
State	Published - Jan 1 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: Dec 10 2013 → Dec 13 2013

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	52nd IEEE Conference on Decision and Control, CDC 2013
Country	Italy
City	Florence
Period	12/10/13 → 12/13/13

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2013.6761088

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Cite this

Sun, H., Hovakimyan, N., & Başar, T. (2013). Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 7546-7551). [6761088] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6761088

Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control. / Sun, Hui; Hovakimyan, Naira ; Başar, Tamer.

2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 7546-7551 6761088 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sun, H, Hovakimyan, N & Başar, T 2013, Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6761088, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7546-7551, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6761088

Sun H, Hovakimyan N , Başar T. Reference tracking of uncertain nonlinear multi-input multi-output quantized systems using L1 adaptive control. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 7546-7551. 6761088. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2013.6761088

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