Convex liftings-based robust control design. (March 2017)

• Record Type: Journal Article
• Authors: Nguyen, Ngoc Anh; Olaru, Sorin; Rodríguez-Ayerbe, Pedro; Kvasnica, Michal
• Is Part Of: Automatica. Volume 77(2017)
• Page Start: 206
• Page End: 213
• Publication Date: 2017-03
• Subjects: Convex liftings -- Robust control -- Bounded additive disturbances -- Polytopic uncertainties -- PWA Lyapunov function; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.11.031
• Languages: English
• ISSNs: 0005-1098

Abstract

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.