Weighted sensitivity minimization: General plants in \(H^{\infty}\) and rational weights

DOI10.1016/0024-3795(88)90199-1zbMath0672.93023OpenAlexW2004897334MaRDI QIDQ1120523

Tanya A. Lypchuk, Allen Tannenbaum, Malcolm C. Smith

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90199-1

zbMATH Keywords

Hamiltoniansingular valuesHankel operatorsoptimal sensitivity

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35)

Related Items (11)

On the optimal and suboptimal solutions of the mixed sensitivity problem ⋮ Some remarks on Hamiltonians and the infinite-dimensional one block \(H^{\infty}\) problem ⋮ On the two-block \(H^ \infty\) problem for a class of unstable distributed systems ⋮ Singular values and vectors of a class of Hankel operators ⋮ Computation of H_∞ controllers for infinite dimensional plants using numerical linear algebra ⋮ A new characterization of invariant subspaces of \(H^{2}\) and applications to the optimal sensitivity problem ⋮ A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants ⋮ A Hamiltonian-based solution to the two-block \(H^{\infty}\) problem for general plants in \(H^{\infty}\) and rational weights ⋮ A polynomial approach to Hankel norm and balanced approximations ⋮ Tutorial reviewH∞optimal controller design for a class of distributed parameter systems ⋮ A simpler formula for the singular values of a certain Hankel operator

Cites Work

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• On decoupling the \(H^{\infty}\)-optimal sensitivity problem for products of plants
• On the weighted sensitivity minimization problem for delay systems
• \({\mathcal H}^\infty\) sensitivity minimization for delay systems
• An interpolation problem associated with \(H^{\infty}\)-optimal design in systems with distributed input lags
• On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory
• Feedback, minimax sensitivity, and optimal robustness
• Weighted sensitivity minimization for delay systems
• On the $H^\infty $-Optimal Sensitivity Problem for Systems with Delays
• Some Explicit Formulae for the Singular Values of Certain Hankel Operators with Factorizable Symbol
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Generalized Interpolation in H ∞

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