Analytical solution of generalized 3D proportional navigation

Ciann-Dong Yang, Chi Ching Yang

Research output: Contribution to journalConference articlepeer-review

9 Citations (Scopus)

Abstract

The main goal of this paper is to establish a systematic analysis on three-dimensional (3D) guidance laws. The concept of generalized three-dimensional proportional navigation is introduced and its analytical solution is derived. The three second-order nonlinear differential equations describing the 3D pursuit-evasion scenario are obtained in terms of the unit angular momentum which is an useful index measuring the departure tendency of the relative motion from a fixed plane. The existing difficulties in solving this set of coupled nonlinear equations are conquered and the solution shows that many past studies on the two-dimensional proportional navigation are merely special cases of the present framework.

Original languageEnglish
Pages (from-to)3974-3979
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
Publication statusPublished - 1995 Dec 1
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: 1995 Dec 131995 Dec 15

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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