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Convex liftings-based robust control design

Abstract : This paper presents a new approach for control design of constrained linear systems affected by bounded additive disturbances and polytopic uncertainties. This method hinges on so-called convex liftings which emulate control Lyapunov function by providing a constructive framework for optimization based control implementation. It will be shown that this method can guarantee the recursive feasibility and robust stability. Finally, a numerical example will be presented to illustrate this method.
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Ngoc Anh Nguyen, Sorin Olaru, Pedro Rodriguez-Ayerbe, Michal Kvasnica. Convex liftings-based robust control design. Automatica, Elsevier, 2017, 77, pp.206- 213. ⟨10.1016/j.automatica.2016.11.031⟩. ⟨hal-01509316⟩

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