A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets

Ismi Rosyiana Fitri and Jung-Su Kim
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Ismi Rosyiana Fitri: Department of Electrical and Information Engineering, Seoul National University of Science and Technology, Seoul 01811, Korea
Jung-Su Kim: Department of Electrical and Information Engineering, Seoul National University of Science and Technology, Seoul 01811, Korea

Mathematics, 2020, vol. 8, issue 11, 1-15

Abstract: In the dual-mode model predictive control (MPC) framework, the size of the stabilizable set, which is also the region of attraction, depends on the terminal constraint set. This paper aims to formulate a larger terminal set for enlarging the region of attraction in a nonlinear MPC. Given several control laws and their corresponding terminal invariant sets, a convex combination of the given sets is used to construct a time-varying terminal set. The resulting region of attraction is the union of the regions of attraction from each invariant set. Simulation results show that the proposed MPC has a larger stabilizable initial set than the one obtained when a fixed terminal set is used.

Keywords: interpolation method; MPC; nonlinear (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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