Minimum entropy controller as a mixed H2/H∞ controller: the time-varying case

Marc A. Peters, Pablo A Iglesias

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

Abstract

An interpretation of the entropy, defined for discrete-time time-varying systems, is presented. The interpretation shows why minimum entropy controllers have an advantage over other H controllers, in the sense that the difference in norms of the input and output signals are relatively high for signals not equal to the worst-case one. Moreover, it is shown that minimizing the entropy results in relatively low quadratic cost, which indicates why minimum entropy controller are good mixed H2/H controllers.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages1917-1918
Number of pages2
Volume2
StatePublished - 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

Other

OtherProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)
CityNew Orleans, LA, USA
Period12/13/9512/15/95

Fingerprint

Entropy
Controllers
Time varying systems
Costs

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Peters, M. A., & Iglesias, P. A. (1995). Minimum entropy controller as a mixed H2/H∞ controller: the time-varying case. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1917-1918). IEEE.

Minimum entropy controller as a mixed H2/H∞ controller : the time-varying case. / Peters, Marc A.; Iglesias, Pablo A.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1995. p. 1917-1918.

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

Peters, MA & Iglesias, PA 1995, Minimum entropy controller as a mixed H2/H∞ controller: the time-varying case. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, IEEE, pp. 1917-1918, Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, 12/13/95.
Peters MA, Iglesias PA. Minimum entropy controller as a mixed H2/H∞ controller: the time-varying case. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. IEEE. 1995. p. 1917-1918
Peters, Marc A. ; Iglesias, Pablo A. / Minimum entropy controller as a mixed H2/H∞ controller : the time-varying case. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1995. pp. 1917-1918
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