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http://dx.doi.org/10.5139/JKSAS.2002.30.7.081

Design of Aim Angle Following Guidance Law Using Lyapunov Theory  

Kim, Ki-Seok (서울대학교 항공우주공학과 대학원)
Kim, You-Dan (서울대학교 기계항공공학부)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.30, no.7, 2002 , pp. 81-89 More about this Journal
Abstract
Guidance laws can be conceptually classified into three categories although their mathematical representations are various and different. In this paper, a generalized conceptual guidance law including the concepts of the above categories is proposed. The aim angle is introduced using the geometry of the collision triangle. The aim angle represents the arbitrary angle between the pursuit angle and the expected collision angle. The objective of the proposed guidance law is to make the aim angle zero asymptotically. It can be shown that the aim angle error response for the considered system is same as that of the first order system. When the autopilot of the missile system has slow dynamics, autopilot time lag may deteriorate the performance of the guidance law performance. In this case, another new guidance law compensating the autopilot time lag effect is proposed. To verify the proposed guidance laws, several numerical simulations are performed.
Keywords
Conceptual Guidance Law; Collision Triangle; Lyapunov Theory; Autopilot;
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