On stability of multiobjective NMPC with objective prioritization. (July 2015)

• Record Type: Journal Article
• Authors: He, Defeng; Wang, Lei; Sun, Jing
• Is Part Of: Automatica. Volume 57(2015)
• Page Start: 189
• Page End: 198
• Publication Date: 2015-07
• Subjects: Nonlinear model predictive control -- Multiobjective control -- Stability -- Lexicographic optimization -- Suboptimality; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.04.024
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper proposes a new multiobjective model predictive control (MO-MPC) of constrained nonlinear systems. According to objective prioritization, the MO-MPC problem is formulated as a lexicographic optimization problem. The optimal solutions are obtained by solving a hierarchy of single objective optimization problems. The conditions guaranteeing the recursive feasibility of the optimization problem and stability of the closed-loop system are derived, which depend only on the most important objective. Moreover, a suboptimal algorithm is presented to reduce the computational demand of MO-MPC. One characteristic of the proposed MO-MPC is that the given objective prioritization is automatically satisfied. The theoretical results are illustrated by a comparison study of an example.