Multiobjective economic MPC of constrained non‐linear systems. Issue 13 (1st August 2016)

• Record Type: Journal Article
• Authors: He, Defeng; Sun, Jing; Chen, Wei
• Is Part Of: IET control theory & applications. Volume 10:Issue 13(2016)
• Page Start: 1487
• Page End: 1495
• Publication Date: 2016-08-01
• Subjects: predictive control -- nonlinear control systems -- asymptotic stability -- convergence -- vectors -- closed loop systems -- optimisation; multiobjective economic MPC -- constrained nonlinear systems -- utopia‐tracking multiobjective economic model prediction control -- guaranteed asymptotic stability -- convergence -- cost function vector -- closed‐loop optimisation dual‐mode formulation -- multiobjective optimisation -- model predictive control; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0947
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study proposes an alternative utopia‐tracking multiobjective economic model prediction control scheme of constrained non‐linear systems with guaranteed asymptotic stability and convergence of average performance. The proposed scheme minimises the distance of its cost function vector to a vector of independently minimised objectives evaluated at ultimate transient operation, i.e. ultimate utopia point. Recursive feasibility and stability of the scheme are established by a closed‐loop optimisation dual‐mode formulation. Moreover, convergence of the closed‐loop average performance is established in the context of multiobjective optimisation. The theoretical results are illustrated by two examples of chemical processes.