A Hamiltonian-based solution to the two-block \(H^{\infty}\) problem for general plants in \(H^{\infty}\) and rational weights

DOI10.1016/S0167-6911(00)00005-0zbMath0977.93029OpenAlexW2108029481MaRDI QIDQ1575224

Allen Tannenbaum, Kentaro Hirata, Yutaka Yamamoto

Publication date: 21 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(00)00005-0

zbMATH Keywords

distributed systems\(H^\infty\) controloptimal sensitivitytwo-block problemskew-Toeplitz theory

Mathematics Subject Classification ID

(H^infty)-control (93B36) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Computation of H_∞ controllers for infinite dimensional plants using numerical linear algebra ⋮ On the mixed sensitivity minimization for systems with infinitely many unstable modes ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A course in \(H_{\infty}\) control theory
• On bounded bilinear forms
• A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
• On the weighted sensitivity minimization problem for delay systems
• A note on essential spectra and norms of mixed Hankel-Toeplitz operators
• Weighted sensitivity minimization: General plants in \(H^{\infty}\) and rational weights
• Singular values and vectors of a class of Hankel operators
• Frequency domain analysis and robust control design for an ideal flexible beam
• Some remarks on Hamiltonians and the infinite-dimensional one block \(H^{\infty}\) problem
• Robust control of infinite dimensional systems. Frequency domain methods
• On the four block problem. II: The singular system
• Tutorial reviewH∞optimal controller design for a class of distributed parameter systems
• On the $H^\infty $-Optimal Sensitivity Problem for Systems with Delays
• A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
• Generalized Interpolation in H ∞

This page was built for publication: A Hamiltonian-based solution to the two-block \(H^{\infty}\) problem for general plants in \(H^{\infty}\) and rational weights