On standard \(H^{\infty }\) control problems for systems with infinitely many unstable poles

DOI10.1016/j.sysconle.2007.09.008zbMath1133.93017OpenAlexW2107279556MaRDI QIDQ2481488

Kenji Kashima, Yutaka Yamamoto

Publication date: 10 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2007.09.008

zbMATH Keywords

infinite-dimensional systemsdelay systems\(H^{\infty }\)-controlone-block problemsystems with infinitely many unstable modes

Mathematics Subject Classification ID

(H^infty)-control (93B36) Control/observation systems in abstract spaces (93C25) Stability of control systems (93D99)

Related Items (5)

Stable controllers for robust stabilization of systems with infinitely many unstable poles ⋮ Computation of H_∞ controllers for infinite dimensional plants using numerical linear algebra ⋮ A new expression for the \(H^2\) performance limit based on state-space representation ⋮ Transfer functions of distributed parameter systems: a tutorial ⋮ A delay-dependent approach to robust \(H_{\infty}\) control for uncertain stochastic systems with state and input delays

Cites Work

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• On the weighted sensitivity minimization problem for delay systems
• Some remarks on Hamiltonians and the infinite-dimensional one block \(H^{\infty}\) problem
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• A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• H/sup ∞/ optimal and suboptimal controllers for infinite dimensional SISO plants
• Finite Rank Criteria for ${H^\infty}$ Control of Infinite-Dimensional Systems

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