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Constrained Interpolation-Based Control for Polytopic Uncertain Systems

Abstract : In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.
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Submitted on : Monday, January 9, 2012 - 2:07:09 PM
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Nam Nguyen, Sorin Olaru, P.O Gutman, Morten Hovd. Constrained Interpolation-Based Control for Polytopic Uncertain Systems. 2011 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando - Floride, United States. pp.CD-Rom, ⟨10.1109/CDC.2011.6161524⟩. ⟨hal-00657876⟩



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