Sensitivity minimization in an H ∞ norm: parametrization of all suboptimal solutions

DOI10.1080/00207178708547393zbMath0634.93024OpenAlexW2075666652MaRDI QIDQ3773767

Joseph A. Ball, Nir Cohen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708547393

zbMATH Keywords

sensitivity analysisminimal realizationalgebraic Riccati equationssuboptimal stable rational functions

Mathematics Subject Classification ID

Related Items (30)

On the optimal and suboptimal solutions of the mixed sensitivity problem ⋮ \((J,J')\)-lossless factorization for descriptor systems ⋮ Selection of a single uniquely specifiable \(\mathcal H_{\infty}\) controller in the chain-scattering framework ⋮ Analytic system problems and \(J\)-lossless coprime factorization for infinite-dimensional linear systems ⋮ On the two-block \(H^ \infty\) problem for a class of unstable distributed systems ⋮ \(H_ \infty\) model matching problem for singularly perturbed systems ⋮ H_∞optimal sampled-data control in continuous time systems ⋮ On extended \((J,J')\)-lossless factorization ⋮ On \(H^ 2\) minimization of the \(H^ \infty\) suboptimal solutions ⋮ A study of H_∞norm and variance-constrained design using dynamic output feedback for linear discrete systems ⋮ A four-block problem for \(H_{\infty{}}\) design: Properties and applications ⋮ Functional models in linear algebra ⋮ On the lossless and J-lossless embedding theorems in \(H^{\infty}\) ⋮ An operator-theoretic approach to the mixed-sensitivity minimization problem ⋮ \(H_ \infty\) control problem with j\(\omega\)-axis zeros ⋮ Receding horizon revisited: An easy way to robustly stabilize and LTV system ⋮ \((J,J')\)-lossless factorization based on conjugation ⋮ The four-block Adamjan-Arov-Krein problem ⋮ The four-block Adamjan-Arov-Krein problem for discrete-time systems ⋮ Synthesis of simultaneous stabilizing H∞ Controller controller ⋮ Worst-case design in the time domain: The maximum principle and the standard \(H_{\infty}\) problem ⋮ Spectral theory of the linear-quadratic and \(H^{\infty}\) problems ⋮ On the parametrization of the suboptimal solutions in generalized interpolation ⋮ On cancellation in \(H_{\infty}\) optimal controllers ⋮ \(H_{\infty}\)-suboptimal control problem with boundary constraints ⋮ Four-block problem: stable plants and rational weights ⋮ \((J,J')\)-spectral factorization and conjugation for discrete-time descriptor system ⋮ Multi-objective control for stochastic model reference systems based on LMI approach and sliding mode control concept ⋮ Tutorial reviewH∞optimal controller design for a class of distributed parameter systems ⋮ Solutions to the \(H_{\infty}\) general distance problem which minimize an entropy integral

Cites Work

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• Inner-outer factorizations of operators
• A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
• Minimal factorization of matrix and operator functions
• Factorization of matrix functions and singular integral operators
• Minimal factorization of selfadjoint rational matrix functions
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Existence and uniqueness theorems for the algebraic Riccati equation
• Algebraic Riccati equation and symplectic algebra

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