Global optimization for the -norm model reduction problem

DOI10.1080/00207720601053568zbMath1148.93011OpenAlexW2003612773MaRDI QIDQ3437485

Henrique F. Marchesi, Pedro L. D. Peres, Edvaldo Assunção, Marcelo C. M. Teixeira

Publication date: 9 May 2007

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720601053568

zbMATH Keywords

branch and bound algorithm\({\mathcal H}_\infty\)-norm model reduction problemcontinuous and discrete-time liner systems

Mathematics Subject Classification ID

Linear programming (90C05) Numerical methods based on nonlinear programming (49M37) (H^infty)-control (93B36) Linear systems in control theory (93C05)

Related Items (4)

Robust state-derivative feedback LMI-based designs for linear descriptor systems ⋮ Robust state-derivative feedback LMI-based designs for multivariable linear systems ⋮ Robust state-derivative pole placement LMI-based designs for linear systems ⋮ Robust model reduction of uncertain systems maintaining uncertainty structure

Uses Software

• LMI toolbox

Cites Work

• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• ℋ_∞and ℋ₂guaranteed costs computation for uncertain linear systems
• H/sub 2/ near-optimal model reduction

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