Citation: | ZHANG Youan, LIANG Yong, LIU Jingmao, et al. Time-to-go estimation for guidance laws based on velocity prediction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10): 1980-1986. doi: 10.13700/j.bh.1001-5965.2016.0782(in Chinese) |
The idea of piecewise linear approximation and piecewise iterations is extended to the anti-ship missile's piecewise velocity prediction. Time-to-go estimation algorithms suitable for anti-ship missiles with time varying velocity are designed for proportional navigation guidance law and a biased proportional navigation guidance law with impact angle control both in the case of large lead angle. The proposed time-to-go estimation algorithms, which are based on the anti-ship missiles' differential equation of velocity in closed form and the current piecewise-iterative time-to-go estimation algorithms for the above mentioned guidance laws, perform piecewise-iterative prediction to the future velocity of anti-ship missiles for two flight cases: one for turning flight on level, the other for nearly straight flight on level, and then make corrections to the current time-to-go estimation algorithms. A range-to-go estimation formula is also given for the biased proportional navigation guidance law with impact angle control in the case of nearly straight flight on level. Numerical simulations are provided to illustrate the effectiveness of the proposed algorithm.
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