Abstract | ||
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A fast implementation of a given predictive controller for nonlinear systems is introduced through a piecewise constant approximate function defined over an hyper-cube partition of the system state space. Such a state partition is obtained by maximizing the hyper-cube volumes in order to guarantee, besides stability, an a priori fixed trajectory error as well as input and state constraints satisfaction. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems. |
Year | DOI | Venue |
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2011 | 10.1109/CDC.2011.6161334 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | Field | DocType |
approximation algorithms,function approximation,polynomials,predictive control,model predictive control,trajectory,trajectory optimization,optimization,nonlinear system,state space,approximation theory | Approximation algorithm,Mathematical optimization,Control theory,Function approximation,Polynomial,Computer science,Control theory,Model predictive control,Approximation theory,State space,Piecewise | Conference |
ISSN | Citations | PageRank |
0743-1546 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Massimo Canale | 1 | 72 | 13.78 |
Vito Cerone | 2 | 100 | 17.07 |
Dario Piga | 3 | 94 | 16.53 |
Diego Regruto | 4 | 174 | 22.43 |