Nonlinear modified bias proportional navigation guidance law against maneuvering targets |
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| Institution: | 1. Faculty of Mathematics and Statistics, Malayer University, Malayer, Iran;2. Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran;1. School of Automation, Southeast University, Nanjing 210096, China;2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing 210096, China;1. Institute of Automation, Qufu Normal University, Qufu 273165, PR China;2. School of Engineering, Qufu Normal University, Rizhao 276826, PR China;1. National Technical University of Athens, School of Electrical and Computer Engineering, Greece;2. USC Viterbi, Ming Hsieh Department of Electrical and Computer Engineering - Systems, USA |
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| Abstract: | To realize the terminal acceleration constraint for a bias proportional navigation guidance law without usage of switching logics, this paper proposes a modified bias term and presents a terminal acceleration constrained bias proportional navigation guidance law against maneuvering targets. First, a so-called virtual planar coordinates whose origin is attached to the point mass of the target is built, so that the original maneuvering target is transformed to a virtual stationary target. On this basis, the common structure of bias proportional navigation guidance law is presented. To realize the terminal acceleration constraint, a modified bias term related to the relative distance between target and missile is used to improve the bias proportional navigation guidance law. With the virtual look angle and the line-of-sight angle constrained, the proposed modified bias proportional navigation guidance law can intercept the maneuvering targets in a desired attack angle. Comparisons with the optimal guidance law in the linear system are carried out, and the proposed law is proved to be near-optimal. The numerical simulation results demonstrate the all-aspect interception capability of the proposed law against maneuvering targets. |
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