Development of online solution algorithms for optimal periodic control problems with plant uncertainties

Mohammad Ghanaatpishe, Michelle Kehs, Hosam Kadry Fathy

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

3 Citations (Scopus)

Abstract

This paper introduces two online methods for optimal periodic control (OPC) of open-loop stable plants. The first method requires knowledge of the plant structure but allows for uncertainty in plant parameters. It employs recursive least squares to estimate parameters, then uses the estimates to adapt the shape of the optimal trajectory. The second method uses a model-free extremum seeking scheme to slowly converge to the optimal input trajectory. While relevant work has been done in the area of online optimal periodic control, the existing methods either rely heavily on knowledge of the plant or they assume a known period. This work proposes methods that do not require these assumptions/limitations. The methods are tested on a drug delivery example from the existing OPC literature. Average drug efficacy values obtained in this work are comparable to the literature, even though limited information about the plant is used.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3576-3582
Number of pages7
Volume2015-July
ISBN (Electronic)9781479986842
DOIs
StatePublished - Jan 1 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Other

Other2015 American Control Conference, ACC 2015
CountryUnited States
CityChicago
Period7/1/157/3/15

Fingerprint

Trajectories
Drug delivery
Uncertainty

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Ghanaatpishe, M., Kehs, M., & Fathy, H. K. (2015). Development of online solution algorithms for optimal periodic control problems with plant uncertainties. In ACC 2015 - 2015 American Control Conference (Vol. 2015-July, pp. 3576-3582). [7171885] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7171885
Ghanaatpishe, Mohammad ; Kehs, Michelle ; Fathy, Hosam Kadry. / Development of online solution algorithms for optimal periodic control problems with plant uncertainties. ACC 2015 - 2015 American Control Conference. Vol. 2015-July Institute of Electrical and Electronics Engineers Inc., 2015. pp. 3576-3582
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Ghanaatpishe, M, Kehs, M & Fathy, HK 2015, Development of online solution algorithms for optimal periodic control problems with plant uncertainties. in ACC 2015 - 2015 American Control Conference. vol. 2015-July, 7171885, Institute of Electrical and Electronics Engineers Inc., pp. 3576-3582, 2015 American Control Conference, ACC 2015, Chicago, United States, 7/1/15. https://doi.org/10.1109/ACC.2015.7171885

Development of online solution algorithms for optimal periodic control problems with plant uncertainties. / Ghanaatpishe, Mohammad; Kehs, Michelle; Fathy, Hosam Kadry.

ACC 2015 - 2015 American Control Conference. Vol. 2015-July Institute of Electrical and Electronics Engineers Inc., 2015. p. 3576-3582 7171885.

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

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Ghanaatpishe M, Kehs M, Fathy HK. Development of online solution algorithms for optimal periodic control problems with plant uncertainties. In ACC 2015 - 2015 American Control Conference. Vol. 2015-July. Institute of Electrical and Electronics Engineers Inc. 2015. p. 3576-3582. 7171885 https://doi.org/10.1109/ACC.2015.7171885