Please use this identifier to cite or link to this item: https://doi.org/10.1002/nla.367
Title: On the computation of the infimum in H∞-optimization
Authors: Chu, D. 
Keywords: Eigenvalue problem
H∞-optimization
Infimum
Orthogonal transformation
Issue Date: Sep-2004
Citation: Chu, D. (2004-09). On the computation of the infimum in H∞-optimization. Numerical Linear Algebra with Applications 11 (7) : 619-648. ScholarBank@NUS Repository. https://doi.org/10.1002/nla.367
Abstract: In this paper, a new method for the computation of the infimum for a large class of continuous-time H∞ optimal control problem by state feedback is presented. The main ingredients of the new method include three generalized eigenvalue problems whose coefficient matrices are from a condensed form of the given system. This condensed form is computed using only orthogonal transformations which can be implemented via a numerically stable way. The superiority of the new method over the existing one given in Chen (H ∞ Control and its Applications, Chapter 5. Springer: Berlin, 1997) is verified by some numerical examples. Copyright © 2004 John Wiley & Sons, Ltd.
Source Title: Numerical Linear Algebra with Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/103779
ISSN: 10705325
DOI: 10.1002/nla.367
Appears in Collections:Staff Publications

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