FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 8, PAGES 139-147

**Optimization of the proportional navigation law with time delay**

E. S. Manuilovich

O. Yu Cherkasov

Abstract

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The controlled relative motion of spacecraft nearby an orbital
station is considered.
The rendezvous method used at the active spacecraft is an algorithm of
proportional navigation which is realized with some constant time
delay.
The coefficient of the law of guidance is considered to be the control
variable, a step time function.
The problem of choice of the mentioned coefficient which provides
a minimum of the rendezvous time is analyzed.
It turns out that the optimal solution includes both boundary and
intermediate control values.
The results of computer simulation are given.

Location: http://mech.math.msu.su/~fpm/eng/k05/k058/k05807h.htm

Last modified: April 5, 2006