Engineering topics

Courtin, P.

Publications and source records attributed to Courtin, P..

2 records

NASA NTRS1973

Sensitivity of optimal control systems with bang-bang control.

The effects of small parameter variations on the performance index of optimal control systems with initial and final target manifolds, free end time, and bang-bang control are analyzed in this paper. A new approach to the sensitivity equation is presented. This approach takes into account the pulse-shaped variation produced by the parameter change on the bang-bang control. An expression, that relates the variations of the performance index, the trajectory, the final time, and the parameter, is derived. This expression extends to the class of optimal systems with bang-bang control, a result previously obtained by Courtin and Rootenberg (1971).

Rootenberg, J.↗

NASA NTRS1971

Performance index sensitivity of minimum-fuel systems.

The purpose of this paper is to investigate the effects of small parameter variations on the performance index of minimum-fuel systems with initial and final manifolds. The pulse-shaped variations produced by the parameter change on the piecewise-constant control are taken into account in order to derive the trajectory sensitivity equation. It is proved that the variation of the performance index is related to those of the trajectory and the parameter by a simple expression. This expression extends, to the class of minimum-fuel problems, a re sult obtained by Kokotovic et al. for systems with continuous, unconstrained controls.

Courtin, P.↗