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The stochastic sliding mode variable structure guidance laws based on optimal control theory

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Abstract

A stochastic sliding-mode variable structure guidance law involving optimal control theory is presented for the missile target intercept model, in which state noise, uncertain system parameters, target movement and measured noise are considered. This guidance law synthesizes the merits of optimal guidance law with line-of-sight rate convergence and sliding-mode guidance law with strong robustness. Through theoretic analysis, it is proved that the sliding mode hyperplane is sub-achievable in the closed loop system. The numerical results show the effectiveness of the proposed control algorithm.

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Authors and Affiliations

  1. PLA 95997 Unit, Beijing, 100076, China

    Hongqiang Wang, Daiqiang Cao & Xudong Wang

  2. Engineering College, Air Force Engineering University, Xi’an Shaanxi, 710038, China

    Hongqiang Wang

Authors
  1. Hongqiang Wang
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  2. Daiqiang Cao
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  3. Xudong Wang
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Corresponding author

Correspondence to Hongqiang Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 60674031), and the Doctorate Foundation of the Engineering College, Air Force Engineering University (No. BC07004).

Hongqiang WANG was born in Qinhuangdao, Hebei, China, in 1980. He received his Ph.D. degree from the PLA Air Force Engineering University in 2009, and he is currently a lecturer of PLA 95997 Unit Electronic Department. His research interests are mainly in stochastic optimal control theory, and missile guidance and control.

Daiqiang CAO was born in Lanzhou, Gansu, China, in 1975. He graduated from PLA Air Force Engineering University Engineering College in 1997, in Aviation Weapon Systems. He is currently Director of PLA 95997 Unit Electronic Department, and his research interests are mainly in avionics and aviation control theory.

Xudong WANG was born in Beijing, China, in 1973. He received his B.S. degree from National Defense Science and Technology University in 1996. He is currently a lecturer of PLA 95997 Unit Electronic Department, and his research interests are mainly in avionics and virtual reality technology.

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Wang, H., Cao, D. & Wang, X. The stochastic sliding mode variable structure guidance laws based on optimal control theory. J. Control Theory Appl. 11, 86–91 (2013). https://doi.org/10.1007/s11768-013-1031-4

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  • DOI: https://doi.org/10.1007/s11768-013-1031-4

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