Optimal impulsive control of delay systems

Florent Delmotte, Erik I. Verriest, Magnus Egerstedt
2008 E S A I M: Control, Optimisation and Calculus of Variations  
In this paper, we solve an optimal control problem using the calculus of variation. The system under consideration is a switched autonomous delay system that undergoes jumps at the switching times. The control variables are the instants when the switches occur, and a set of scalars which determine the jump amplitudes. Optimality conditions involving analytic expressions for the partial derivatives of a given cost function with respect to the control variables are derived using the calculus of
more » ... riation. A locally optimal impulsive control strategy can then be found using a numerical gradient descent algorithm. Mathematics Subject Classification. 49K15, 49K25
doi:10.1051/cocv:2008009 fatcat:dyk3iix5f5a3zackkdjclemqme