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Performance of 3D TPN against true-arbitrarily maneuvering target for exoatmospheric interception

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Abstract

True proportional navigation (TPN) guidance law is widely used for exoatmospheric interception, for its robustness and ease of implementation. The performance of TPN against nonmaneuvering target or the maneuvering target with a specific acceleration had been analyzed before. However, the obtained results are not suitable for the realistic exoatmospheric interception scenario, since the target may maneuver along an arbitrary direction with an arbitrary but upper-bounded acceleration in the three-dimensional (3D) space, which is the so-called “true-arbitrarily maneuvering target” in this paper. With the help of the line-of-sight (LOS) rotation coordinate system, the performance of 3D TPN against the true-arbitrarily maneuvering target is thoroughly analyzed using the Lyapunov-like approach. The upper-bound of the 3D LOS rate is obtained, and so is that of the commanded acceleration of 3D TPN. After that, the capture region of 3D TPN is presented on the initial relative velocity plane. The nonlinear 3D relative kinematics between the interceptor and the target is taken into full account. Finally, the new theoretical findings are demonstrated by numerical simulations.

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Authors and Affiliations

  1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, 410073, China

    KeBo Li, YanGang Liang & WenShan Su

  2. National Innovation Institute of Defense Technology, Academy of Military Science, Beijing, 100071, China

    Lei Chen

Authors
  1. KeBo Li
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  2. YanGang Liang
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  3. WenShan Su
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  4. Lei Chen
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Correspondence to Lei Chen.

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Li, K., Liang, Y., Su, W. et al. Performance of 3D TPN against true-arbitrarily maneuvering target for exoatmospheric interception. Sci. China Technol. Sci. 61, 1161–1174 (2018). https://doi.org/10.1007/s11431-018-9310-5

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  • DOI: https://doi.org/10.1007/s11431-018-9310-5

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