Application of singular perturbation techniques (SPT) and continuation methods for on-line aircraft trajectory optimization

1 January 1978

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 983-990
https://doi.org/10.1109/cdc.1978.268078

Abstract

The singular perturbation theory (SPT) approximation of optimal feedback control laws is presented and methods for on-line application of these approximations are discussed. It is shown that SPT control laws break down when the current state is near the terminal target state. The use of continuation methods to improve the accuracy of the SPT approximation and to obtain global solutions of Two-Point Boundary Value Problems (TPBVP) is also discussed. To illustrate the theoretical discussion we present the minimum-time control of a supersonic aircraft for a three-dimensional intercept problem.

Keywords

PERTURBATION METHODS
AIRCRAFT
OPTIMIZATION METHODS
FEEDBACK CONTROL
AEROSPACE CONTROL
COSTS

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