Title
Automatic Domain Partitioning of Piecewise-Affine Simplicial Functions Implementing Model Predictive Controllers
Abstract
This paper is concerned with the problem of mitigating the “curse of dimensionality” in the piecewise-affine simplicial approximation of multi-variate model predictive control functions by resorting to non-uniform domain partitions, in view of their implementation in high-speed embedded digital architectures. Two dual strategies are used to reduce the number of simplices with respect to uniform partitions, without reducing approximation accuracy. Both circuit implementation purposes and Model Predictive Control technique impose additional constraints, with respect to other techniques already available for multi-resolution domain partitioning. The algorithms are tested on a benchmark example concerned with adaptive cruise control.
Year
DOI
Venue
2015
10.1109/TCSII.2015.2435971
Circuits and Systems II: Express Briefs, IEEE Transactions
Keywords
Field
DocType
piecewise linear approximation,multidimensional systems,nonlinear systems,linear approximation,approximation algorithms,predictive control,trajectory,cost function
Linear approximation,Affine transformation,Approximation algorithm,Mathematical optimization,Control theory,Cruise control,Model predictive control,Curse of dimensionality,Trajectory,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
PP
99
1549-7747
Citations 
PageRank 
References 
2
0.44
9
Authors
3
Name
Order
Citations
PageRank
Alberto Oliveri18412.20
Martin Reimers220.44
Marco Storace331947.42