Three-dimensional vector guidance law with impact time and angle constraints |
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| Affiliation: | 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri 65211, USA;1. Department of Automation, Tsinghua University, Beijing 100084, China;2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;1. College of Engineering and Design, Hunan Normal University, Changsha, China;2. School of Automation, Central South University, Changsha, China;3. Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong;4. School of Optics and Photonics, Beijing Institute of Technology, Beijing, China;5. College of Information Science and Engineering, Hunan Normal University, Changsha, China;1. MOE-LCSM, CHP-LCOCS, School of Mathematical Sciences and Statistics, Hunan Normal Univerity, Changsha, 410081, China;2. The Key Laboratory of Control and Optimization of Complex Systems, College of Hunan Province, Hunan Normal University, Changsha 410081, China;1. College of Information Engineering, Henan University science and technology, Luoyang 471023, PR China;2. School of Marine Engineering, Dalian Maritime University, Dalian 116026, China;1. College of Electrical and Automation Engineering, Shandong University of Science and Technology, Qingdao 266590, China;2. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | The three-dimensional (3D) impact time and angle guidance problem is of great practical significance but remains open because of the coupling nonlinearity and multiple constraints. To solve this problem, a 3D vector guidance law is proposed in this paper to intercept a non-maneuvering target at the desired impact conditions. First, a 3D vector impact angle constrained guidance law with explicit time-to-go estimation is developed by extending the planar one into the 3D space. Then, the intercepting component of the above guidance law is augmented by a time-to-go feedback term, which leads to the proposed 3D vector impact time and angle guidance law. Stability analysis and parameter selection criteria are presented to show the advantageous features of the proposed design. In particular, the proposed guidance law does not require the switch logic, numerical algorithms, or decoupling strategy, which outperforms similar existing results in terms of continuous command and convenient implementation. Finally, several numerical simulations are performed to validate the theoretical findings. |
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