Robust control design based on convex liftings

Ngoc Anh Nguyen (1) , Sorin Olaru (1) , Pedro Rodriguez-Ayerbe (1)

1 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Sciences de l'ingénieur [physics]

Ngoc Anh Nguyen, Sorin Olaru, Pedro Rodriguez-Ayerbe. Robust control design based on convex liftings. 2015. ⟨hal-01159892v1⟩