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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2009, Vol. 30 ›› Issue (3): 468-475.

• 论文 • Previous Articles     Next Articles

New Three-dimensional Guidance Law Based on Lie Group Method

Han Dapeng, Sun Weimeng, Zheng Zhiqiang, Wei Qing   

  1. College of Mechatronic Engineering and Automation, National University of Defense Technology
  • Received:2007-12-03 Revised:2008-03-04 Online:2009-03-25 Published:2009-03-25
  • Contact: Han Dapeng

Abstract: This article proposes a new type of three-dimensional(3D) guidance laws using a Lie group method. When strong coupling exists between the pitching channel and swerve channel, there is difficulty in achieving a 3D guidance law with the channeldecoupling assumption. However, it is possible to design guidance laws based on a Lie group method without the decoupling of channels. First, a unified kinematic model of 3D guidance is formulated using vectors. Once a vector is given an SO(3)based description, guidance laws can then be developed from the generalized proportionalderivative(PD) control law on SO(3). The resulting guidance laws are suitable for both given impact direction requirements and maneuvering targets, and the simplified version in a two-dimensional(2D) plane is in consistence with the results of the conventional proportional navigation law. The effectiveness and efficiency of the guidance laws are shown by simulations of characteristic trajectories.

Key words: guidance, proportional navigation, Lie group, proportionalderivative control, aircraft, geometric control

CLC Number: