Optimal impulsive control of delay systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 767-779.

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 variation. A locally optimal impulsive control strategy can then be found using a numerical gradient descent algorithm.

DOI : https://doi.org/10.1051/cocv:2008009
Classification : 49K15,  49K25
Mots clés : optimal control, impulse control, switched systems, delay systems, calculus of variation
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     author = {Delmotte, Florent and Verriest, Erik I. and Egerstedt, Magnus},
     title = {Optimal impulsive control of delay systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {767--779},
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Delmotte, Florent; Verriest, Erik I.; Egerstedt, Magnus. Optimal impulsive control of delay systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 767-779. doi : 10.1051/cocv:2008009. http://www.numdam.org/articles/10.1051/cocv:2008009/

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