A Controller Degree Bound for $\mathcal{H}^\infty $-Optimal Control Problems of the Second Kind

DOI10.1137/0326038zbMath0645.93027OpenAlexW2498874211MaRDI QIDQ3789430

David J. N. Limebeer, George D. Halikias

Publication date: 1988

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0326038

zbMATH Keywords

\({\mathcal H}^{\infty }\) design problems\({\mathcal H}^{\infty }\) optimal controller\(H^{\infty }\) suboptimal controllersproblems of the second kind

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Synthesis problems (93B50) Banach spaces of continuous, differentiable or analytic functions (46E15)

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The discrete time parametric mixed sensitivity problem ⋮ Relative/multiplicative model reduction for unstable and non-minimum-phase systems ⋮ State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity ⋮ Pole/zero cancellations in the general \({\mathcal H}_\infty\) problem with reference to a two block design ⋮ Design of disturbance attenuating controllers: A Riccati-based FH norm optimization algorithm ⋮ Pole-zero cancellations and closed-loop properties of an \(H^ \infty\) mixed sensitivity design problem ⋮ Closed formulae for a parametric mixed sensitivity problem ⋮ On cancellation in \(H_{\infty}\) optimal controllers ⋮ On the one-sided one-block H∞ problem applied to a sum of sensitivities cost index

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