\(H_2\) and \(H_\infty\) optimal model reduction using genetic algorithms

DOI10.1016/J.JFRANKLIN.2009.10.016zbMath1227.93021OpenAlexW2065370717MaRDI QIDQ647944

Reem Salim, Maamar Bettayeb

Publication date: 22 November 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2009.10.016

zbMATH Keywords

global solutionmodel reductiongenetic algorithmoptimal approximation\(H_\infty\) norm\(H_2\) normhybrid norm

Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) (H^infty)-control (93B36) System structure simplification (93B11)

Related Items (7)

Multi-missile interception for multi-targets: dynamic situation assessment, target allocation and cooperative interception in groups ⋮ Model reduction of bilinear systems based on Laguerre series expansion ⋮ Improved results on \(H_\infty\) model reduction for continuous-time linear systems over finite frequency ranges ⋮ Linear system of order reduction using a modified balanced truncation method ⋮ Model reduction of descriptor systems using frequency limited Gramians ⋮ Linear time-invariant system reduction using a mixed methods approach ⋮ Fractional-order IMC controller for high-order system using reduced-order modelling via Big-Bang, Big-Crunch optimisation

Uses Software

• GAToolBox

Cites Work

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• Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem
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• Model reduction by minimizing the weighted equation error
• Model reduction via balanced state space representations
• Routh approximations for reducing order of linear, time-invariant systems
• A method for modeling linear time-invariant systems by linear systems of low order
• Order reduction by ℓ<inf>1</inf>- and ℓ<inf>∞</inf>-norm minimization
• Model reduction by Routh approximations
• Model reduction for multivariable systems
• Model reduction with time delay combining the least-squares method with the genetic algorithm

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