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Resilient Static Output Feedback Stabilization of Linear Periodic Systems

Abstract : This paper adresses the problem of static output-feedback stabilization for linear discrete-time periodic systems. The adopted framework is based on the Lyapunov theory and uses the Linear Matrix Inequalities (LMI) formalism. The output-feedback design is tackled along with fragility issues. This is performed by the synthesis of convex sets of stabilizing controllers guaranteeing closed-loop resilience with respect to uncertainties on the controller parameters. Two design problems are solved: static periodic and static non-periodic output-feedback. Proposed solutions are based on non-convex optimization but may be solved with appropriate non-optimal algorithms and this is illustrated on various examples.
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Contributor : Christophe Farges <>
Submitted on : Wednesday, October 15, 2008 - 4:24:46 PM
Last modification on : Friday, January 10, 2020 - 9:08:08 PM



Christophe Farges, Dimitri Peaucelle, Denis Arzelier. Resilient Static Output Feedback Stabilization of Linear Periodic Systems. 5th IFAC Symposium on Robust Control Design. ROCOND'06., Jul 2006, Toulouse, France. pp.154-159, ⟨10.3182/20060705-3-FR-2907.00028⟩. ⟨hal-00331200⟩



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