Least squares based modification for adaptive control

Girish Chowdhary, Eric Johnson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

A least squares modification is presented to adaptive control problems where the uncertainty can be linearly parameterized. The modified weight training law uses an estimate of the ideal weights formed online by solving a least squares problem using recorded and current data concurrently. The modified adaptive law guarantees the exponential convergence of adaptive weights to their ideal values subject to a verifiable condition on linear independence of the recorded data. This condition is found to be less restrictive and easier to monitor than a condition on persistency of excitation of the reference signal.

Original languageEnglish (US)
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages1767-1772
Number of pages6
DOIs
StatePublished - Dec 1 2010
Event2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
Duration: Dec 15 2010Dec 17 2010

Publication series

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

Other

Other2010 49th IEEE Conference on Decision and Control, CDC 2010
CountryUnited States
CityAtlanta, GA
Period12/15/1012/17/10

Fingerprint

Adaptive Control
Least Squares
Linear independence
Exponential Convergence
Least Squares Problem
Control Problem
Monitor
Excitation
Linearly
Uncertainty
Estimate
Training

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Chowdhary, G., & Johnson, E. (2010). Least squares based modification for adaptive control. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 1767-1772). [5717149] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717149
Chowdhary, Girish ; Johnson, Eric. / Least squares based modification for adaptive control. 2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. pp. 1767-1772 (Proceedings of the IEEE Conference on Decision and Control).
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Chowdhary, G & Johnson, E 2010, Least squares based modification for adaptive control. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717149, Proceedings of the IEEE Conference on Decision and Control, pp. 1767-1772, 2010 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, GA, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717149

Least squares based modification for adaptive control. / Chowdhary, Girish; Johnson, Eric.

2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. p. 1767-1772 5717149 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Chowdhary G, Johnson E. Least squares based modification for adaptive control. In 2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. p. 1767-1772. 5717149. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717149