TY - GEN
T1 - A new linear approach for nonlinear control problems
AU - Garcia, Hernan
AU - Velasco, Mauricio
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/10
Y1 - 2019/10
N2 - not necessarily linear optimal control problem can be reformulated as an infinite dimensional linear problem where the variables are the moments of the 'occupation measures' which encode optimal trajectories and controls. We propose a linear programming hierarchy of problems that allow us to compute the moments of these measures efficiently. Furthermore, we show how to recover trajectories and controls from the moments by using some new polynomial approximations to Dirac deltas. The results are illustrated through computational simulations.
AB - not necessarily linear optimal control problem can be reformulated as an infinite dimensional linear problem where the variables are the moments of the 'occupation measures' which encode optimal trajectories and controls. We propose a linear programming hierarchy of problems that allow us to compute the moments of these measures efficiently. Furthermore, we show how to recover trajectories and controls from the moments by using some new polynomial approximations to Dirac deltas. The results are illustrated through computational simulations.
UR - http://www.scopus.com/inward/record.url?scp=85077954874&partnerID=8YFLogxK
U2 - 10.1109/CCAC.2019.8921347
DO - 10.1109/CCAC.2019.8921347
M3 - Contribución a la conferencia
AN - SCOPUS:85077954874
T3 - 4th IEEE Colombian Conference on Automatic Control: Automatic Control as Key Support of Industrial Productivity, CCAC 2019 - Proceedings
BT - 4th IEEE Colombian Conference on Automatic Control
A2 - Garcia-Tirado, Jose
A2 - Munoz-Durango, Diego
A2 - Alvarez, Hernan
A2 - Botero-Castro, Hector
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th IEEE Colombian Conference on Automatic Control, CCAC 2019
Y2 - 15 October 2019 through 18 October 2019
ER -