\({\mathcal H}^ \infty\) and \({\mathcal H}^ 2\) optimal controllers for periodic and multirate systems

DOI10.1016/0005-1098(94)90028-0zbMath0788.93023OpenAlexW2156392203MaRDI QIDQ1317178

Lena S. Valavani, Munther A. Dahleh, Petros G. Voulgaris

Publication date: 13 March 1994

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(94)90028-0

zbMATH Keywords

stability robustnessdisturbance rejection problem

Mathematics Subject Classification ID

(H^infty)-control (93B36)

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Cites Work

• Unnamed Item
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• A course in \(H_{\infty}\) control theory
• An algebraic Riccati equation for the discrete-time periodic prediction problem
• On the Sensitivity Minimization Problem for Linear Time-Varying Periodic Systems
• A new class of shift-varying operators, their shift-invariant equivalents, and multirate digital systems
• A parametrization of stabilizing controllers for multirate sampled-data systems
• Robust control of linear time-invariant plants using periodic compensation
• Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices
• The difference periodic Ricati equation for the periodic prediction problem
• Feedback system design: The fractional representation approach to analysis and synthesis
• The necessity of the small-gain theorem for time-varying and nonlinear systems
• Time-varying versus time-invariant compensation for rejection of persistent bounded disturbances and robust stabilization
• Optimal and robust controllers for periodic and multirate systems
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case
• Robust stability manifolds for multilinear interval systems
• Controller parametrization for time-varying multirate plants