Interpolation of multi-LPV control systems based on Youla–Kucera parameterization. (December 2021)

• Record Type: Journal Article
• Authors: Atoui, Hussam; Sename, Olivier; Milanes, Vicente; Martinez, John J.
• Is Part Of: Automatica. Volume 134(2021)
• Publication Date: 2021-12
• Subjects: Linear parameter-varying system -- Youla parameterization -- Gain-scheduling -- Linear matrix inequality; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109963
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper presents a methodology which considers an interpolation between Linear Parameter-Varying (LPV) controllers that were designed separately for different objectives. The quadratic stability of the closed-loop system is proved under arbitrary interpolation in terms of a set of Linear Matrix Inequalities (LMIs). The interpolation strategy is based on Youla–Kucera (YK) parameterization. The proposed method can help multi-variable and multi-objective systems, to achieve high performances at different critical situations regardless of the interpolation rate.