Solutions to the H∞ general distance problem which minimize an entropy integral

D. Mustafa; K. Glover; D. J.N. Limebeer

doi:10.1016/0005-1098(91)90021-S

Solutions to the H_∞ general distance problem which minimize an entropy integral

D. Mustafa, K. Glover, D. J.N. Limebeer

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We pose, and solve, the problem of minimizing the entropy of an H_∞-norm bounded and stabilized closed-loop. Solution proceeds via the equivalent error system distance problem. The central member of the admissible class is shown to minimize the entropy at infinity, and in that case an explicit state-space formula is derived for the minimum value of the entropy. Links between entropy, H₂-norms and H₂-optimal control are given.

Original language	English
Pages (from-to)	193-199
Number of pages	7
Journal	Automatica
Volume	27
Issue number	1
DOIs	https://doi.org/10.1016/0005-1098(91)90021-S
Publication status	Published - Jan 1991
Externally published	Yes

Keywords

control systems synthesis
Multivariable control systems
optimal control
robust control
state space
suboptimal control

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/0005-1098(91)90021-S

Cite this

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abstract = "We pose, and solve, the problem of minimizing the entropy of an H∞-norm bounded and stabilized closed-loop. Solution proceeds via the equivalent error system distance problem. The central member of the admissible class is shown to minimize the entropy at infinity, and in that case an explicit state-space formula is derived for the minimum value of the entropy. Links between entropy, H2-norms and H2-optimal control are given.",

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AB - We pose, and solve, the problem of minimizing the entropy of an H∞-norm bounded and stabilized closed-loop. Solution proceeds via the equivalent error system distance problem. The central member of the admissible class is shown to minimize the entropy at infinity, and in that case an explicit state-space formula is derived for the minimum value of the entropy. Links between entropy, H2-norms and H2-optimal control are given.

KW - control systems synthesis

KW - Multivariable control systems

KW - optimal control

KW - robust control

KW - state space

KW - suboptimal control

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