Sufficient conditions for data-driven stability of ellipsoidal unfalsified control

J.J.M. Helvoort, van; A.G. Jager, de; M. Steinbuch

doi:10.1109/CDC.2006.376826

Sufficient conditions for data-driven stability of ellipsoidal unfalsified control

J.J.M. Helvoort, van, A.G. Jager, de, M. Steinbuch

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

3 Citations (Scopus)

179 Downloads (Pure)

Abstract

Unfalsified Control is a direct data-driven, plantmodel-free controller design method, which recursively falsifies controllers that fail to meet the required performance specification, making them ineligible to actually control the plant. In this paper it is shown that sufficient conditions for stability can be derived for Unfalsified Control with an ellipsoidal Unfalsified set, Ellipsoidal Unfalsified Control (EUC). These conditions are: feasibility of the adaptive control problem, discarding of demonstrable destabilizing controllers and a finite number of controller switches. The latter is guaranteed by imposing a maximum volume ratio between two consecutive ellipsoidal Unfalsified sets and a minimum stepsize on the controller adjustments.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision & Control, San Diego, CA, USA, December 13-15, 2006
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	453-458
DOIs	https://doi.org/10.1109/CDC.2006.376826
Publication status	Published - 2006

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title = "Sufficient conditions for data-driven stability of ellipsoidal unfalsified control",

abstract = "Unfalsified Control is a direct data-driven, plantmodel-free controller design method, which recursively falsifies controllers that fail to meet the required performance specification, making them ineligible to actually control the plant. In this paper it is shown that sufficient conditions for stability can be derived for Unfalsified Control with an ellipsoidal Unfalsified set, Ellipsoidal Unfalsified Control (EUC). These conditions are: feasibility of the adaptive control problem, discarding of demonstrable destabilizing controllers and a finite number of controller switches. The latter is guaranteed by imposing a maximum volume ratio between two consecutive ellipsoidal Unfalsified sets and a minimum stepsize on the controller adjustments.",

author = "{Helvoort, van}, J.J.M. and {Jager, de}, A.G. and M. Steinbuch",

year = "2006",

doi = "10.1109/CDC.2006.376826",

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Sufficient conditions for data-driven stability of ellipsoidal unfalsified control. / Helvoort, van, J.J.M.; Jager, de, A.G.; Steinbuch, M.
Proceedings of the 45th IEEE Conference on Decision & Control, San Diego, CA, USA, December 13-15, 2006. Piscataway: Institute of Electrical and Electronics Engineers, 2006. p. 453-458.

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

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PB - Institute of Electrical and Electronics Engineers

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Sufficient conditions for data-driven stability of ellipsoidal unfalsified control

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