On cancellation in \(H_{\infty}\) optimal controllers

DOI10.1016/0167-6911(89)90065-0zbMath0684.93030OpenAlexW1997993425MaRDI QIDQ1825811

Shinji Hara, Ryou Kondo

Publication date: 1989

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90065-0

zbMATH Keywords

Riccati equationmodel matchingpole-zero cancellationsJ-lossless matrixmixed sensitivity\(H_{\infty }\) optimal controllerchain scattering matrix descriptions

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Synthesis problems (93B50) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (6)

Factorization and feedback stabilization for nonlinear systems ⋮ Non-linear minimal square spectral factorization ⋮ Pole-zero cancellations and closed-loop properties of an \(H^ \infty\) mixed sensitivity design problem ⋮ An LMI approach to \(\mathcal H _{\infty}\) synthesis subject to almost asymptotic regulation constraints ⋮ Relationship between poles and zeros of input--output and chain-scattering systems ⋮ J -lossless and extended J -lossless factorizations approach for @-domain H ∞ control

Cites Work

• A course in \(H_{\infty}\) control theory
• A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• Sensitivity minimization in an H ^∞ norm: parametrization of all suboptimal solutions
• An Analysis of the Pole-Zero Cancellations in $H^\infty $-Optimal Control Problems of the First Kind
• A Controller Degree Bound for $\mathcal{H}^\infty $-Optimal Control Problems of the Second Kind
• Conjugation, interpolation and model-matching in H∞
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case

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