On cancellation in \(H_{\infty}\) optimal controllers
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Publication:1825811
DOI10.1016/0167-6911(89)90065-0zbMath0684.93030OpenAlexW1997993425MaRDI QIDQ1825811
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
Riccati equationmodel matchingpole-zero cancellationsJ-lossless matrixmixed sensitivity\(H_{\infty }\) optimal controllerchain scattering matrix descriptions
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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