Well-conditioned computation for H∞ controller near the optimum

Well-conditioned computation for H∞ controller near the optimum

The present paper gives a procedure for determining a H∞ optimal controller in the assumption that the game Riccati equations have stabilizing positive definite solutions at the optimum value. A specific feature of the construction is its first step consisting in balancing with respect to the positi...

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Veröffentlicht in:Numerical algorithms 1997-09, Vol.15 (2), p.193-206
Hauptverfasser: Dragan, Vasile, Halanay, Aristide, Stoica, Adrian
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Sprache:eng
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Controllers
H-infinity control
Optimization
Riccati equation
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container_title Numerical algorithms
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creator Dragan, Vasile
Halanay, Aristide
Stoica, Adrian
description The present paper gives a procedure for determining a H∞ optimal controller in the assumption that the game Riccati equations have stabilizing positive definite solutions at the optimum value. A specific feature of the construction is its first step consisting in balancing with respect to the positive definite stabilizing solutions of the Riccati equations. The justification is based on singular perturbations reduction.
doi_str_mv 10.1023/A:1019145904498
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subjects Controllers
H-infinity control
Optimization
Riccati equation
title Well-conditioned computation for H∞ controller near the optimum
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