Optimal Control with Low Sensitivity to Sampling Period Uncertainty

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Authors
Krishna-Murthy, Anusha
Watkins, John Michael
Sawan, M. Edwin
Lakshmikanth, Geethalakshmi S.
Issue Date
2024
Type
Conference Paper
Language
en_US
Keywords
Optimal control , Performance index , Sampling period uncertainty
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Abstract

In this research, the optimal control design of a sampled-data system with sampling period uncertainty is considered. Digital discrete-time systems use analog-to-digital converters to convert the analog sensor signals to a digital signal. These converters use a sample and hold process for conversion with a prespecified sampling period. Although it is set in advance, the sampling period may be subject to small variations during the operation of the system. These small variations can negatively impact the system performance. To reduce the impact of potential uncertainty in the sampling period, a sensitivity function is defined to represent its effect on the system performance. A quadratic performance index is considered and minimized for optimal control design. Such a performance index is augmented to include the sensitivity function. Minimization of the augmented performance index ensures reduction of performance sensitivity. © 2024 IEEE.

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Citation
Krishna-Murthy, A., Watkins, J., Sawan, M.E., Lakshmikanth, G.S. Optimal Control with Low Sensitivity to Sampling Period Uncertainty. (2024). Conference Proceedings - IEEE SOUTHEASTCON, pp. 1210-1215. DOI: 10.1109/SoutheastCon52093.2024.10500245
Publisher
Institute of Electrical and Electronics Engineers Inc.
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Conference Proceedings - IEEE SOUTHEASTCON
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1091-0050
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