TY - GEN
T1 - Optimal control law design for cyclic switching systems based on the minimum principle and singular arcs. Application to a buck converter
AU - Patino, Diego
PY - 2010
Y1 - 2010
N2 - In this article, we present a method for computing an optimal state feedback control law for switched affine systems which do not have common equilibrium points. The hybrid solution is obtained from a general convex formulation for which the existence of the optimal solution is guaranteed. We show that the synthesis of the optimal trajectories yields a partition of the state space with respect to the mode. The design uses singular arcs which are obtained through an algebraic condition. In order to test the performance of the control law, an academical buck converter is taken as an example with a quadratic and a minimum time criteria.
AB - In this article, we present a method for computing an optimal state feedback control law for switched affine systems which do not have common equilibrium points. The hybrid solution is obtained from a general convex formulation for which the existence of the optimal solution is guaranteed. We show that the synthesis of the optimal trajectories yields a partition of the state space with respect to the mode. The design uses singular arcs which are obtained through an algebraic condition. In order to test the performance of the control law, an academical buck converter is taken as an example with a quadratic and a minimum time criteria.
KW - Affine switching systems
KW - Optimal control
KW - Singlar arcs
KW - State feedback
UR - http://www.scopus.com/inward/record.url?scp=79952081990&partnerID=8YFLogxK
U2 - 10.1109/ANDESCON.2010.5630274
DO - 10.1109/ANDESCON.2010.5630274
M3 - Conference contribution
AN - SCOPUS:79952081990
SN - 9781424467419
T3 - 2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
BT - 2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
T2 - 2010 IEEE ANDESCON Conference, ANDESCON 2010
Y2 - 14 September 2010 through 17 September 2010
ER -