Stabilizing tube-based model predictive control: Terminal set and cost construction for LPV systems

Automatica ◽  
2017 ◽  
Vol 85 ◽  
pp. 137-144 ◽  
Author(s):  
Jurre Hanema ◽  
Mircea Lazar ◽  
Roland Tóth
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Terminal Set ◽  
Lpv Systems ◽  
Control Terminal

Model predictive control of constrained LPV systems

2012 ◽  
Vol 85 (6) ◽  
pp. 671-683 ◽  
Author(s):  
Shuyou Yu ◽  
Christoph Böhm ◽  
Hong Chen ◽  
Frank Allgöwer
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Lpv Systems

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

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2087
Author(s):  
Ismi Rosyiana Fitri ◽  
Jung-Su Kim
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Convex Combination ◽  
Invariant Sets ◽  
Region Of Attraction ◽  
Control Laws ◽  
Terminal Set ◽  
The One ◽  
The Given ◽  
Regions Of Attraction

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.

Robust multi-parametric model predictive control for LPV systems with application to anaesthesia

2014 ◽  
Vol 24 (10) ◽  
pp. 1538-1547 ◽  
Author(s):  
H. Chang ◽  
A. Krieger ◽  
A. Astolfi ◽  
E.N. Pistikopoulos
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Parametric Model ◽  
Lpv Systems
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