Quaternion based Three-Dimensional Impact Angle Constrained Guidance

摘要

This paper proposes quaternion based three-dimensional guidance strategies, which ensure target interception with zero miss distance. Unlike most of the existing guidance strategies, the guidance command in this paper is derived using coupled engagement dynamics, which helps to maintain satisfactory performance for the engagements where decoupling is no longer valid. To avoid the well known possible singularities due to Euler’s representation, a quaternion based representation of three-dimensional engagement is utilized. This facilitates the proposed guidance strategy to remain applicable and effective for wider range. In addition, guidance strategy is also derived to ensure target interception at a desired impact angle, which is expressed in terms of desired line-of-sight quaternion. Simulation results are shown to evaluate the efficacy of proposed guidance strategies for various engagement scenarios.