State-space algorithm for the computation of superoptimal matrix interpolating functions

DOI10.1080/00207178908953509zbMath0694.93034OpenAlexW1970329387MaRDI QIDQ3470315

David J. N. Limebeer, Keith Glover, George D. Halikias

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00207178908953509

zbMATH Keywords

Hankel operatorsMcMillan degreestate-space algorithmsuperoptimal Nehari extension

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Synthesis problems (93B50)

Related Items (9)

An affine parametrization of all one-blockH^∞-optimal matrix interpolating functions ⋮ Superoptimal singular values and indices of matrix functions ⋮ Equalizer principle of ℋ^∞-optimal control and its application to super-optimization ⋮ Construction of superoptimal approximants ⋮ An explicit state-space solution to the one-block super-optimal distance problem ⋮ Characterization of the sub-layers for 2-block \(H^{\infty}\)-optimal control problem ⋮ An evaluation of super-optimality as a control tool: a relative stability perspective ⋮ The 2-block superoptimal AAK problem ⋮ Characterization and use of the degrees of freedom in theH^∞problem

Cites Work

• An interpolation theory approach to \(H^{\infty}\) controller degree bounds
• Feedback, minimax sensitivity, and optimal robustness
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Optimal disturbance reduction in linear multivariable systems
• Robust stabilizability for a class of transfer functions
• An Analysis of the Pole-Zero Cancellations in $H^\infty $-Optimal Control Problems of the First Kind
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses

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