A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 7 Issue 4
Jun.  2020

IEEE/CAA Journal of Automatica Sinica

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CiteScore: 11.2, Top 5% (Q1)
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Article Contents
Shengwen Xiang, Hongqi Fan and Qiang Fu, "Distribution of Miss Distance for Pursuit-Evasion Problem," IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 1161-1168, July 2020. doi: 10.1109/JAS.2019.1911552
 Citation: Shengwen Xiang, Hongqi Fan and Qiang Fu, "Distribution of Miss Distance for Pursuit-Evasion Problem," IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 1161-1168, July 2020.

# Distribution of Miss Distance for Pursuit-Evasion Problem

##### doi: 10.1109/JAS.2019.1911552
• Miss distance is a critical parameter of assessing the performance for highly maneuvering targets interception (HMTI). In a realistic terminal guidance system, the control of pursuer $u$ depends on the estimate of unknown state, thus the miss distance becomes a random variable with a prior unknown distribution. Currently, such a distribution is mainly evaluated by the method of Monte Carlo simulation. In this paper, by integrating the estimation error model of zero-effort miss distance (ZEM) obtained by our previous work, an analytic method for solving the distribution of miss distance is proposed, in which the system is presumed to use a bang-bang control strategy. By comparing with the results of Monte Carlo simulations under four different types of disturbances (maneuvers), the correctness of the proposed method is validated. Results of this paper provide a powerful tool for the design, analysis and performance evaluation of guidance system.

•  [1] M. E. Hough, “Reentry maneuver estimation using nonlinear Markov acceleration models,” J. Guidance, Control and Dynamics, vol. 40, no. 7, pp. 1693–1710, Apr. 2017. [2] S. Y. Hayoun and T. Shima, “Necessary conditions for “HIT-to-kill” in missile interception engagements,” J. Guidance, Control and Dynamics, vol. 41, no. 4, pp. 1–13, Sept. 2017. [3] R. Fonod and T. Shima, “Estimation enhancement by cooperatively imposing relative intercept angles,” J. Guidance, Control and Dynamics, vol. 40, no. 7, pp. 1711–1725, Mar. 2017. [4] G. S. Kumar, R. Ghosh, D. Ghose, et al, “Guidance of seekerless interceptors using innovation covariance based tuning of Kalman filters,” J. Guidance,Control and Dynamics, vol. 40, no. 3, pp. 603–614, Jan. 2017. [5] J. Shinar, “Solution techniques for realistic pursuit-evasion games,” Advances in Control and Dynamic Systems, vol. 17, pp. 63–124, 1981. [6] V. Turetsky and V. Y. Glizer, “Continuous feedback control strategy with maximal capture zone in a class of pursuit games,” Int. Game Theory Review, vol. 7, no. 1, pp. 1–24, Mar. 2005. [7] V. Turetsky, “Capture zones of cheap control interception strategies,” J. Optimization Theory and Applications, vol. 135, no. 1, pp. 69–84, Oct. 2007. [8] J. Shinar, T. Vladimir, and Y. G. Valery, “On estimation in interception endgames,” J. Optimization Theory and Applications, vol. 157, no. 3, pp. 593–611, Jun. 2013. [9] V. Y. Glizer, V. Turetsky, and J. Shinar, “Terminal cost distribution in discrete time controlled system with disturbance and noise-corrupted state information,” IAENG Int. J. Applied Mathematics, vol. 42, no. 1, pp. 52–59, Feb. 2012. [10] J. Shinar, V. Y. Glizer, and V. Turetsky, “Distribution of terminal cost functional in continuous time controlled system with noise-corrupted state information,” in Proc. IEEE 27th Conv. Electrical and Electronics Engineers in Israel, vol. 27, no. 1, pp. 1–5, Dec. 2012. [11] J. Shinar, V. Y. Glizer, and V. Turetsky, “Terminal state distribution of continuous time system with random disturbance and noise-corrupted information,” IAENG Int. J. Applied Mathematics, vol. 45, no. 2, pp. 77–84, Apr. 2015. [12] V. Y. Glizer, V. Turetsky, and J. Shinar, “Distribution of terminal cost functional in discrete time controlled system with noise-corrupted state information,” in Proc. World Congr. Engineering, London, U.K., pp. 296–300, Jul. 2011. [13] E. Moldavskaya and J. Shinar, “Distribution of zero-effort miss distance estimation error in interception problems,” Applied Mathematics and Computation, vol. 269, no. C, pp. 217–231, Oct. 2015. [14] S. W. Xiang, H. Q. Fan, and Q. Fu, “Error distribution of zero-effort miss distance under mode mismatch,” Int. J. Control. [15] S. W. Xiang, H. Q. Fan, and Q. Fu, “Distribution of the zero-effort miss distance estimation error in continuous-time controlled system with mode mismatch,” Acta Automatica Sinica, vol. 44, no. 10, pp. 1824–1832, 2018. [16] V. Turetsky and J. Shinar, “Missile guidance laws based on pursuit-evasion game formulations,” Automatica, vol. 39, no. 4, pp. 607–618, Apr. 2003. [17] H. Q. Fan, “Technology on maneuvering target motion mode identification in active homing guidance,” Ph.D. dissertation, National University of Defense Technology, Chansha, Sept. 2008. [18] J. Shinar, T. Vladimir, and Y. Oshman, “Integrated estimation/guidance design approach for improved homing against randomly maneuvering targets,” J. Guidance, Control and Dynamics, vol. 30, no. 1, pp. 154–161, Feb. 2007. doi: 10.2514/1.22916

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