Reduced-order controller design for the generalH[b.infin]control problem

DOI10.1080/00207720600566222zbMath1111.93019OpenAlexW112937688MaRDI QIDQ3437444

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Publication date: 9 May 2007

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720600566222

zbMATH Keywords

linear matrix inequality\(H_{\infty}\) controldiscrete-time systemcontinuous-time systemreduced-order controller

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Low-order control design for LMI problems using alternating projection methods
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• On the structure of H/sup infinity / control systems and related extensions
• A reduced order observer based controller design for H/sub ∞/-optimization
• A linear matrix inequality approach to H_∞ control
• On the rank minimization problem over a positive semidefinite linear matrix inequality
• Minimum entropy static output-feedback control with an H/sub ∞/-norm performance bound
• A cone complementarity linearization algorithm for static output-feedback and related problems
• Static output feedback controllers: stability and convexity
• The dual iteration for fixed-order control
• Plant zero structure and further order reduction of a singularH? controller
• Reduced-order controllers for continuous and discrete-time singular \(H^ \infty\) control problems based on LMI

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