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Output feedback robust stabilization of uncertain linear systems with saturating controls: an LMI approach

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3 Author(s)
Henrion, D. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Tarbouriech, S. ; Garcia, G.

The problem of robust controller design is addressed for an uncertain linear system subject to control saturation. No assumption is made concerning open-loop stability, and no a priori information is available regarding the domain of stability. A saturating linear output feedback law and a safe set of initial conditions are determined using a heuristic based on iterative LMI relaxation procedures. A readily implementable algorithm based on standard numerical techniques is described and illustrated on two numerical examples

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Automatic Control, IEEE Transactions on  (Volume:44 ,  Issue: 11 )