Necessary and sufficient conditions under which anH2optimal control problem has a unique solution

DOI10.1080/00207179308923006zbMath0786.93047OpenAlexW2088571481MaRDI QIDQ3136213

Chen, Ben M., Ali Saberi

Publication date: 17 October 1993

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

Full work available at URL: https://doi.org/10.1080/00207179308923006

zbMATH Keywords

necessary and sufficient conditions\(H\)-optimal control

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

The H₂control problem: a general transfer-function solution ⋮ \(H_2\) optimal controllers with measurement feedback for continuous-time systems --- flexibility in closed-loop pole placement. ⋮ Unnamed Item

Cites Work

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• H\({}^ 2\)-optimal control with an \(H^{\infty}\)-constraint: The state feedback case
• The disturbance decoupling problem with measurement feedback and stability for systems with direct feedthrough matrices
• Continuity properties of the cheap-control problem without stability
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• A geometric approach to the singular filtering problem
• Singular Optimal Control: A Geometric Approach
• Cheap and singular controls for linear quadratic regulators
• A view of three decades of linear filtering theory
• Recursive Filtering
• Tutorial solution to the linear quadratic regulator problem using H₂optimal control theory

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