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

Marc A. Peters; Pablo A. Iglesias

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

Whiting School of Engineering

Research output: Contribution to journal › Conference article › peer-review

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 language	English (US)
Pages (from-to)	1917-1918
Number of pages	2
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
State	Published - Dec 1 1995
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Cite this

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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.",

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year = "1995",

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N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:0029533174

SN - 0743-1546

VL - 2

SP - 1917

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 13 December 1995 through 15 December 1995

ER -

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

Abstract

ASJC Scopus subject areas

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