Robustness of retrospective cost adaptive control to Markov-parameter uncertainty

E. Dogan Sumer; Anthony M. D'Amato; Alexey V. Morozov; Jesse B. Hoagg; Dennis S. Bernstein

doi:10.1109/CDC.2011.6161472

Robustness of retrospective cost adaptive control to Markov-parameter uncertainty

E. Dogan Sumer, Anthony M. D'Amato, Alexey V. Morozov, Jesse B. Hoagg, Dennis S. Bernstein

Mechanical Engineering

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

17 Scopus citations

Abstract

In this paper we investigate the robustness of an extended version of retrospective cost adaptive control (RCAC), in which less modeling information is required than in prior versions of this method. RCAC is applicable to MIMO possibly nonminimum-phase (NMP) plants without the need to know the locations of the NMP zeros. The only required modeling information is an FIR approximation of the plant, which may be based on a limited number of Markov parameters. In this paper we investigate the effect of phase mismatch between the true plant and the FIR approximation. Numerical examples demonstrate the relationship between phase mismatch at the command and disturbance frequencies as well as the required level of regularization in the controller update.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages	6085-6090
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2011.6161472
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

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

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2011.6161472

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Sumer, E. D., D'Amato, A. M., Morozov, A. V., Hoagg, J. B., & Bernstein, D. S. (2011). Robustness of retrospective cost adaptive control to Markov-parameter uncertainty. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 6085-6090). [6161472] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161472

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abstract = "In this paper we investigate the robustness of an extended version of retrospective cost adaptive control (RCAC), in which less modeling information is required than in prior versions of this method. RCAC is applicable to MIMO possibly nonminimum-phase (NMP) plants without the need to know the locations of the NMP zeros. The only required modeling information is an FIR approximation of the plant, which may be based on a limited number of Markov parameters. In this paper we investigate the effect of phase mismatch between the true plant and the FIR approximation. Numerical examples demonstrate the relationship between phase mismatch at the command and disturbance frequencies as well as the required level of regularization in the controller update.",

author = "Sumer, {E. Dogan} and D'Amato, {Anthony M.} and Morozov, {Alexey V.} and Hoagg, {Jesse B.} and Bernstein, {Dennis S.}",

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language = "English",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Sumer, ED, D'Amato, AM, Morozov, AV, Hoagg, JB & Bernstein, DS 2011, Robustness of retrospective cost adaptive control to Markov-parameter uncertainty. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161472, Proceedings of the IEEE Conference on Decision and Control, pp. 6085-6090, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161472

Robustness of retrospective cost adaptive control to Markov-parameter uncertainty. / Sumer, E. Dogan; D'Amato, Anthony M.; Morozov, Alexey V. et al.

2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. 2011. p. 6085-6090 6161472 (Proceedings of the IEEE Conference on Decision and Control).

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

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AB - In this paper we investigate the robustness of an extended version of retrospective cost adaptive control (RCAC), in which less modeling information is required than in prior versions of this method. RCAC is applicable to MIMO possibly nonminimum-phase (NMP) plants without the need to know the locations of the NMP zeros. The only required modeling information is an FIR approximation of the plant, which may be based on a limited number of Markov parameters. In this paper we investigate the effect of phase mismatch between the true plant and the FIR approximation. Numerical examples demonstrate the relationship between phase mismatch at the command and disturbance frequencies as well as the required level of regularization in the controller update.

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Robustness of retrospective cost adaptive control to Markov-parameter uncertainty

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