Robust control design based on convex liftings

Ngoc Anh Nguyen 1 Sorin Olaru 2, 1 Pedro Rodriguez-Ayerbe 1
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : In control related studies, convex liftings have been of use to solve inverse parametric linear/quadratic programming problem. This paper presents a so-called convex liftings based method for robust control design of constrained linear systems affected by bounded additive disturbances. It will be shown that a geometrical construction as convex lifting can be used in optimization-based control design to guarantee robust stability and recursive feasibility in a given controllable region of the state space. Finally, a numerical example will be considered to illustrate this method.
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Ngoc Anh Nguyen, Sorin Olaru, Pedro Rodriguez-Ayerbe. Robust control design based on convex liftings. 8th IFAC Symposium on Robust Control Design (ROCOND), Jul 2015, Bratislava, Slovakia. ⟨10.1016/j.ifacol.2015.09.475⟩. ⟨hal-01159892v2⟩

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