Optimal H ∞ multivariable robust controllers and the relationship to LQG design problems

DOI10.1080/00207178808906159zbMath0662.93020OpenAlexW2170041815MaRDI QIDQ3813680

M. J. Grimble

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906159

zbMATH Keywords

sensitivity functionpolynomial matrix equationsmultivariable caseLQG problem\(H_{\infty }\) problem

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Multivariable systems, multidimensional control systems (93C35) Optimal stochastic control (93E20) Synthesis problems (93B50) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

Minimax LQ exact and inexact model matching problems

Cites Work

• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Phase lag and lead weighting in linear-quadratic control
• Generalized polynomial optimization of stochastic feedback control
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses

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