Title
Support Vector Machine Informed Explicit Nonlinear Model Predictive Control Using Low-Discrepancy Sequences.
Abstract
In this paper, an explicit nonlinear model predictive controller (ENMPC) for the stabilization of nonlinear systems is investigated. The proposed ENMPC is constructed using tensored polynomial basis functions and samples drawn from low-discrepancy sequences. Solutions of a finite-horizon optimal control problem at the sampled nodes are used (1) to learn an inner and outer approximation of the feasible region of the ENMPC using support vector machines, and (2) to construct the ENMPC control surface on the computed feasible region using regression or sparse-grid interpolation, depending on the shape of the feasible region. The attractiveness of the proposed control scheme lies in its tractability to higher-dimensional systems with feasibility and stability guarantees, significantly small online computation times, and ease of implementation.
Year
DOI
Venue
2017
10.1109/TAC.2016.2539222
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Support vector machines,Optimal control,Nonlinear systems,Stability analysis,Predictive control,Aerospace electronics,Supervised learning
Mathematical optimization,Control theory,Nonlinear system,Optimal control,Control theory,Support vector machine,Model predictive control,Interpolation,Supervised learning,Feasible region,Mathematics
Journal
Volume
Issue
ISSN
62
1
0018-9286
Citations 
PageRank 
References 
9
0.58
28
Authors
6
Name
Order
Citations
PageRank
Ankush Chakrabarty16812.73
Vu Dinh2265.14
Martin J. Corless390.58
Ann E. Rundell490.58
Stanislaw H. Zak590.92
Gregery T Buzzard6316.03