Cooperative Salvo Guidance over Leader-Follower Network with Free-Will Arbitrary Time Convergence (2407.15324v1)
Abstract: A cooperative salvo strategy is proposed in this paper which achieves consensus among the interceptors within a pre-defined arbitrary settling time. Considering non-linear engagement kinematics and a system lag to capture the effect of interceptor autopilot as present in realistic interception scenarios, the guidance schemes use the time-to-go estimates of the interceptors in order to achieve simultaneous interception of a stationary target at a pre-determined impact time. The guidance scheme ensures that consensus among the time-to-go estimates of the interceptors is achieved within a settling time whose upper bound can be pre-specified arbitrarily independent of the initial conditions or design parameters. The efficacy of the proposed guidance strategy is demonstrated using numerical simulations with varied conditions of initial position, velocities and heading angle errors of the interceptors as well as different desired impact times.
- Y. Zhang, X. Wang, and H. Wu, “A distributed cooperative guidance law for salvo attack of multiple anti-ship missiles,” Chinese Journal of Aeronautics, vol. 28, no. 5, pp. 1438–1450, Oct. 2015.
- L. Song, Y. Zhang, D. Huang, and S. Fu, “Cooperative simultaneous attack of multi-missiles under unreliable and noisy communication network: A consensus scheme of impact time,” Aerospace Science and Technology, vol. 47, pp. 31–41, Dec. 2015.
- Q. Zhu, X. Wang, and Q. Lin, “Consensus-based impact-time-control guidance law for cooperative attack of multiple missiles,” Kybernetika, vol. 53, no. 4, pp. 563–577, 2017.
- S. He, W. Wang, D. Lin, and H. Lei, “Consensus-Based Two-Stage Salvo Attack Guidance,” IEEE Transactions on Aerospace and Electronic Systems, vol. 54, no. 3, pp. 1555–1566, Jun. 2018.
- S. He, M. Kim, T. Song, and D. Lin, “Three-dimensional salvo attack guidance considering communication delay,” Aerospace Science and Technology, vol. 73, pp. 1–9, Feb. 2018.
- X. Ai, L. Wang, J. Yu, and Y. Shen, “Field-of-view constrained two-stage guidance law design for three-dimensional salvo attack of multiple missiles via an optimal control approach,” Aerospace Science and Technology, vol. 85, pp. 334–346, Feb. 2019.
- I.-S. Jeon, J.-I. Lee, and M.-J. Tahk, “Homing Guidance Law for Cooperative Attack of Multiple Missiles,” Journal of Guidance, Control, and Dynamics, vol. 33, no. 1, pp. 275–280, 2010.
- D. Hou, Q. Wang, X. Sun, and C. Dong, “Finite-time cooperative guidance laws for multiple missiles with acceleration saturation constraints,” IET Control Theory & Applications, vol. 9, no. 10, pp. 1525–1535, 2015.
- B. Li, D. Lin, and H. Wang, “Finite time convergence cooperative guidance law based on graph theory,” Optik, vol. 127, no. 21, pp. 10 180–10 188, Nov. 2016.
- S. R. Kumar and D. Mukherjee, “Cooperative Salvo Guidance Using Finite-Time Consensus over Directed Cycles,” IEEE Transactions on Aerospace and Electronic Systems, vol. 56, no. 2, pp. 1504–1514, 2020.
- G. Li, Y. Wu, and P. Xu, “Adaptive fault-tolerant cooperative guidance law for simultaneous arrival,” Aerospace Science and Technology, vol. 82–83, pp. 243–251, Nov. 2018.
- S. R. Kumar and D. Ghose, “Impact time guidance for large heading errors using sliding mode control,” IEEE Transactions on Aerospace and Electronic Systems, vol. 51, no. 4, pp. 3123–3138, Oct. 2015.
- H.-G. Kim, D. Cho, and H. J. Kim, “Sliding Mode Guidance Law for Impact Time Control Without Explicit Time-to-Go Estimation,” IEEE Transactions on Aerospace and Electronic Systems, vol. 55, no. 1, pp. 236–250, Feb. 2019.
- X. Chen and J. Wang, “Nonsingular Sliding-Mode Control for Field-of-View Constrained Impact Time Guidance,” Journal of Guidance, Control, and Dynamics, vol. 41, no. 5, pp. 1214–1222, May 2018.
- Q. Hu, T. Han, and M. Xin, “Sliding-Mode Impact Time Guidance Law Design for Various Target Motions,” Journal of Guidance, Control, and Dynamics, vol. 42, no. 1, pp. 136–148, Jan. 2019.
- I.-S. Jeon, J.-I. Lee, and M.-J. Tahk, “Impact-time-control guidance law for anti-ship missiles,” IEEE Transactions on Control Systems Technology, vol. 14, no. 2, pp. 260–266, Mar. 2006.
- X. Liu, Z. Shen, and P. Lu, “Closed-Loop Optimization of Guidance Gain for Constrained Impact,” Journal of Guidance, Control, and Dynamics, vol. 40, no. 2, pp. 453–460, Feb. 2017.
- P. Lu, D. B. Doman, and J. D. Schierman, “Adaptive Terminal Guidance for Hypervelocity Impact in Specified Direction,” Journal of Guidance, Control, and Dynamics, vol. 29, no. 2, pp. 269–278, Mar. 2006.
- X. Yang, Y. Zhang, and S. Song, “Two-Stage Cooperative Guidance Strategy with Impact-Angle and Field-of-View Constraints,” Journal of Guidance, Control, and Dynamics, vol. 46, no. 3, pp. 590–599, Mar. 2023.
- S. P. Bhat and D. S. Bernstein, “Finite-Time Stability of Continuous Autonomous Systems,” SIAM J. Control Optim., vol. 38, no. 3, pp. 751–766, Jan. 2000.
- D. Zhou, S. Sun, and K. L. Teo, “Guidance Laws with Finite Time Convergence,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 6, pp. 1838–1846, Nov. 2009.
- A. Polyakov, “Nonlinear feedback design for fixed-time stabilization of linear control systems,” IEEE Transactions on Automatic Control, vol. 57, no. 8, pp. 2106–2110, Aug. 2012.
- Z. Zuo, Q. L. Han, B. Ning, X. Ge, and X. M. Zhang, “An overview of recent advances in fixed-time cooperative control of multiagent systems,” IEEE Transactions on Industrial Informatics, vol. 14, no. 6, pp. 2322–2334, 2018.
- C. Wang, W. Dong, J. Wang, and M. Xin, “Impact-Angle-Constrained Cooperative Guidance for Salvo Attack,” Journal of Guidance, Control, and Dynamics, vol. 45, no. 4, pp. 684–703, Apr. 2022.
- A. K. Pal, S. Kamal, S. K. S. Nagar, B. Bandyopadhyay, and L. Fridman, “Design of controllers with arbitrary convergence time,” Automatica, vol. 112, p. 108710, 2020.
- Q. V. Tran, M. H. Trinh, N. H. Nguyen, and H.-S. Ahn, “Free-will arbitrary time consensus protocols with diffusive coupling,” International Journal of Robust and Nonlinear Control, vol. 32, no. 15, pp. 8711–8731, 2022.
- A. K. Pal, S. Kamal, X. Yu, S. K. Nagar, and X. Xiong, “Free-will arbitrary time consensus for multiagent systems,” IEEE Transactions on Cybernetics, vol. 52, no. 6, pp. 4636–4646, Jun. 2022.
- R. S. Pal, S. R. Kumar, and D. Mukherjee, “Free will arbitrary time consensus-based cooperative salvo guidance over leader-follower network,” in American Control Conference. (To appear online): IEEE, 2023, pp. 4936–4941.
- A. Sinha, S. R. Kumar, and D. Mukherjee, “Cooperative integrated guidance and control design for simultaneous interception,” Aerospace Science and Technology, vol. 120, p. 107262, Jan. 2022.