Title :
A second-variation algorithm for a class of minimal fuel problems
Author :
Smithgall, David H. ; Thorp, James S.
Author_Institution :
Cornell University, Ithaca, NY, USA
fDate :
6/1/1970 12:00:00 AM
Abstract :
A second-variation approach to the minimal fuel problem is presented. The gradient and Hessian of the norm of the terminal error with respect to the final conditions of the costate equation are formed. The discontinuities induced by the assumed form of the control are treated using the theory of distributions.
Keywords :
Fuel-optimal control; Linear systems, time-invariant continuous-time; Automatic control; Bang-bang control; Boundary conditions; Equations; Error correction; Fuels; Humans; Learning; Optimal control; Regulators;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099459