SISO controller design to minimize a positive combination of the \(l_ 1\) and the \({\mathcal H}_ 2\) norms

DOI10.1016/S0005-1098(96)00169-0zbMath0872.93024OpenAlexW2138870570WikidataQ128037021 ScholiaQ128037021MaRDI QIDQ1356140

Mohammed Dahleh, Murti V. Salapaka, Petros G. Voulgaris

Publication date: 7 July 1997

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(96)00169-0

zbMATH Keywords

convex optimization\(l_ 1\) and \(\mathcal H_ 2\) normsdiscrete-time SISO feedback systemsLagrange duality theory

Mathematics Subject Classification ID

Convex programming (90C25) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36)

Uses Software

• QDES

Cites Work

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• Solutions to the \(H_{\infty}\) general distance problem which minimize an entropy integral
• <tex>l^{1}</tex>-optimal feedback controllers for MIMO discrete-time systems
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach

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