Output Feedback $\mathcal{H}_\infty$ Loop-Shaping Controller Synthesis

DOI10.1007/978-1-84800-025-4_6zbMath1327.93170OpenAlexW154153179MaRDI QIDQ2950159

Emmanuel Prempain, Ian Postlethwaite

Publication date: 8 October 2015

Published in: Mathematical Methods for Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-84800-025-4_6

Mathematics Subject Classification ID

Feedback control (93B52) (H^infty)-control (93B36) Synthesis problems (93B50)

Uses Software

• SeDuMi
• LMI toolbox

Cites Work

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• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Explicit controller formulas for LMI-based \(H_ \infty\) synthesis
• Static \(\mathcal H_{\infty}\) loop shaping control of a fly-by-wire helicopter
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• A loop-shaping design procedure using H/sub infinity / synthesis
• A linear matrix inequality approach to H_∞ control
• Linear Matrix Inequalities in System and Control Theory
• A cone complementarity linearization algorithm for static output-feedback and related problems
• Multiobjective output-feedback control via LMI optimization

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