Lexicographic multi-objective MPC for constrained nonlinear systems with changing objective prioritization

This paper proposes a new lexicographic multi-objective model predictive control (MoMPC) scheme for constrained nonlinear systems with changing objective prioritization. The lexicographic optimization-based receding horizon optimal control problem is firstly formulated to accommodate the concern on...

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Bibliographic Details
Published in:Automatica (Oxford) Vol. 125; p. 109433
Main Authors: He, Defeng, Li, Haiping, Du, Haiping
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.03.2021
Subjects:
Model predictive control
Multi-objective control
Nonlinear systems
Objective priorities
Stability
Model predictive control
Stability
Objective priorities
Nonlinear systems
Multi-objective control
ISSN:0005-1098, 1873-2836
Online Access:Get full text
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Summary:This paper proposes a new lexicographic multi-objective model predictive control (MoMPC) scheme for constrained nonlinear systems with changing objective prioritization. The lexicographic optimization-based receding horizon optimal control problem is firstly formulated to accommodate the concern on prioritized control of multiple (economic) objectives. Then an elaborate generic function and the notion of general terminal constraints are introduced to regain feasibility of lexicographic MoMPC in the presence of constraints and changing objective prioritization. Moreover, the LaSalle invariance set theorem is used to establish stability of the closed-loop system with the lexicographic MoMPC. An example of a coupled-tank level control problem with three conflicting objectives is adopted to demonstrate the effectiveness of the proposed scheme.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2020.109433