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research-article

Interactive Multiple Model Filter for Tracking a Pursuer with Proportional Navigation Guidance Law

[+] Author and Article Information
Runle Du

National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics, Beijing, 100076, China
jenniferdu@126.com

Xin-Guang Zou

School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
xgzou@hit.edu.cn

Di Zhou

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
zhoud@hit.edu.cn

Jiaqi Liu

National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics, Beijing, 100076, China
ljq006@vip.sina.com

1Corresponding author.

ASME doi:10.1115/1.4039156 History: Received January 26, 2017; Revised December 13, 2017

Abstract

The paper addresses a pursuer tracking problem where the pursuer's acceleration is given by a proportional navigation (PN) guidance law with a time-varying navigation ratio which varies with the relative range between the pursuer and its target. Based on a motion model that exactly describes the relative motion and the PN guidance law, a novel filter for tracking such a pursuer is designed using Interactive Multiple Model (IMM) algorithm and Unscented Kalman Filtering (UKF) technique. This filter is able to accurately estimate the relative range, relative velocity, and the acceleration of pursuer even if the pursuer adopts a PN guidance law with time-varying navigation ratio. The proposed tracking method is evaluated in extensive Monte Carlo simulations. It is shown that accurate estimation results have been obtained and the model probabilities in the IMM UKF filter are consistent with real situations.

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