Minimum entropy open loop control for linear dynamical systems with uncertain parameters

Nagavenkat Adurthi, Tarunraj Singh, Puneet Singla

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

Abstract

This paper presents a minimum entropy approach for the design of an optimal bang-bang control for linear dynamical systems with parametric uncertainty. The curse of dimensionality is of major concern when the dimension of the uncertain parameter space increases while designing robust controllers. In this paper an alternative probabilistic approach is developed to account for parameter uncertainty when designing a rest to rest maneuver. Specifically the entropy of the final time energy is minimized with respect to an assumed control profile. Efficient quadrature/cubature points such as the recently developed Conjugate Unscented Transform points are shown to be highly advantageous for estimating entropy via the principle of maximum entropy. Finally numerical examples are shown to validate the proposed approach.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4274-4279
Number of pages6
ISBN (Print)9781479932726
DOIs
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Other

Other2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR
Period6/4/146/6/14

Fingerprint

Dynamical systems
Entropy
Mathematical transformations
Controllers
Uncertainty

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Adurthi, N., Singh, T., & Singla, P. (2014). Minimum entropy open loop control for linear dynamical systems with uncertain parameters. In 2014 American Control Conference, ACC 2014 (pp. 4274-4279). [6859157] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2014.6859157
Adurthi, Nagavenkat ; Singh, Tarunraj ; Singla, Puneet. / Minimum entropy open loop control for linear dynamical systems with uncertain parameters. 2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 4274-4279
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Adurthi, N, Singh, T & Singla, P 2014, Minimum entropy open loop control for linear dynamical systems with uncertain parameters. in 2014 American Control Conference, ACC 2014., 6859157, Institute of Electrical and Electronics Engineers Inc., pp. 4274-4279, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 6/4/14. https://doi.org/10.1109/ACC.2014.6859157

Minimum entropy open loop control for linear dynamical systems with uncertain parameters. / Adurthi, Nagavenkat; Singh, Tarunraj; Singla, Puneet.

2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4274-4279 6859157.

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

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Adurthi N, Singh T, Singla P. Minimum entropy open loop control for linear dynamical systems with uncertain parameters. In 2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 4274-4279. 6859157 https://doi.org/10.1109/ACC.2014.6859157