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Distributed time-constrained guidance using nonlinear model predictive control

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Abstract

The paper presents a new time-constrained guidance approach for the multi-missile network by using the nonlinear model predictive control (MPC) technique. The objective is to coordinate the impact time of a group of interceptor missiles against the stationary target. The framework of a distributed MPC scheme is developed. Each missile is assigned its own finite-horizon optimal control problem (FHOCP) and only shares the information with its neighbors. The solutions of the local FHOCP are obtained by using the improved pigeon-inspired optimization method that serves as a convenient tool to deal with the equality and inequality constraints. Further, a safe distance-based penalty term is integrated into the local cost function to achieve no-fly zone avoidance for the multi-missile network. The numerical simulations show that the distributed MPC scheme is effective to implement the cooperative time-constrained guidance with satisfied accuracy of target capture. The Monte Carlo test also demonstrates the robustness of the proposed guidance approach in consideration of the no-fly zone constraint.

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Acknowledgments

The authors would like to thank the editors and the reviewers for their critical and constructive review of this manuscript. This study was co-supported by the National Natural Science Foundation of China (No: 61273349, 61175109) and the Aeronautical Science Foundation of China (No: 2014ZA18004, 2013ZA18001).

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Authors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China

    Jiang Zhao, Siyue Zhou & Rui Zhou

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  1. Jiang Zhao
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  2. Siyue Zhou
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  3. Rui Zhou
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Correspondence to Jiang Zhao.

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Zhao, J., Zhou, S. & Zhou, R. Distributed time-constrained guidance using nonlinear model predictive control. Nonlinear Dyn 84, 1399–1416 (2016). https://doi.org/10.1007/s11071-015-2578-z

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  • DOI: https://doi.org/10.1007/s11071-015-2578-z

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