Main Article Content
Abstract
The performance of classical Proportional Navigation guidance is limited against highly maneuvering targets and in presence of measurements noise resulting into large miss distances and lower hit probability. Also, the advanced Augmented PN guidance technique requires target state estimation. In this paper, fuzzy logic has been used to implement PN guidance and Membership Functions of fuzzy logic has been tuned using genetic algorithm. The proposed Fuzzy Based PN (FBPN) guidance gives superior performance than PN and APN in terms of lower miss distance, higher hit ratio and better ability to handle measurement noise at all target attack aspects. Deterministic simulations have proved the superior performance and robustness of proposed scheme for various conditions such as step target maneuver upto 9g, weaving maneuver and presence of measurement noise. Further, Monte Carlo simulations have proved that proposed scheme enhances interception performance in realistic scenarios by improving the hit ratio upto 48% and rms miss distance upto 41%. Limitations of APN scheme in terms of target state estimation is also mitigated in the proposed guidance scheme. Finally, global asymptotic stability of fuzzy homing guidance loop is proved using circle criterion.
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References
- Lin, C.F., "Modern Navigation, Guidance and Control Processing", Prentice Hall, Englewood Cliffs, New Jersey, 1991.
- Zarchan, P., "Tactical and Strategic Missile Guidance", 2nd Edition, AIAA, Washington, DC, 1994.
- Ha, I.J., Hur, J.S., Ko, M.S.and Song., "Performance of PNG Laws for Randomly Maneuvering Targets", IEEE Transaction on Aerospace and Electronic Systems, Vol.26, No.5, pp.713-720.
- Babu, K.R., Sarma, I.G. and Swamy, K.N., "Switched Bias Proportional Navigation for Homing Guidance Against Highly Maneuvering Targets", Journal of Guidance, Control and Dynamics, Vol.17, No.6, 1994, pp.1357-1363.
- Talole, S.E. and Banavar, R.N., "Proportional Navigation Through Predictive Control", Journal of Guidance, Control and Dynamics, Vol.21, No.6, 1998, pp.1004-1006.
- Nesline, F.W. and Zarchan, P., "A New Look at Classical Versus Modern Homing Guidance", Journal of Guidance, Control and Dynamics, Vol.4, No.1, Jan - Feb 1981, pp.78-85.
- Bezick, S., Rusnak, I. and Grey, W.S., "Guidance of a Homing Missile via Nonlinear Geometric Control Methods", Journal of Guidance Control and Dynamics, Vol.18, No.3, May-June 1995, pp.441-448.
- Junhong, S. and Shemin, S., "Three Dimensional Guidance Law Based on Adaptive Integral Sliding Mode Control", Chinese Journal of Aeronautics, Vol.29. No.1, February 2016, pp.202-214.
- Pandit, S. K., Panchal, B. and Talole, S. E., "Design of Three Dimensional Guidance Law for Tactical Missiles", Proceeding of AIAA Guidance, Navigation and Control Conference, 8-12 February 2018, Florida.
- Asher, R. B. and Matuszewski, J. P., "Optimal Guidance with Maneuvering Targets", Journal of Spacecrafts and Rockets, Vol.11, No.3, March 1974, pp. 204-206.
- Nazaroff, G. J., "An Optimal Terminal Guidance Law", IEEE Transactions on Automatic Control, June 1976, pp.407-408.
- Salmond, D. J., "Foundations of Modern Missile Guidance", Journal of Defense Science, Vol.1, No.2, April 1996, pp.171-179.
- Huang, T.L.C., Tylock, J., Engel, S. and Whitson, J., "Comparison of Neural-network-based, Fuzzy Logic Based, and Numerical Nonlinear Inverse Flight Controls", Proceedings of the AIAA Guidance, Navigation, and Control Conference, AIAA, Washington, DC, 1994, pp.922-929.
- Mishra, S. K., Sarma, I. G. and Swamy, K. N., "Performance Evaluation of Two Fuzzy Logic Based Homing Guidance Schemes", Journal of Guidance, Vol.17, No.6, 1995, pp.1389-1391.
- Rajasekhar, V. and Sreenath, A. G., "Fuzzy Logic Implementation of Proportional Navigation Guidance", Acta Astronautica, Vol.46, No.1, 2000, pp.17-24.
- Lin, C. L. and Chen, Y. Y., "Design of Fuzzy Logic Guidance Against High Speed Targets", Journal of Guidance, Control and Dynamics, Vol.23, No.1, Jan-Feb 2000, pp.17-25.
- Omar, H. M., "Developing Integrated Fuzzy Guidance Law for Aerodynamic Homing Missile by Genetic Algorithm", Proceeding of IEEE Congress on Evolutionary Computation, Norway, 2009.
- Jang, J. S. R., "Adaptive-network Based Fuzzy Inference System", IEEE Transactions on Systems, Man, and Cybernetics, Vol.23, No.3, 1993, pp.665-685.
- Leekwijck, W. V. and Kerre, E. E., "Defuzzification: Criteria and Classification", Fuzzy Sets and Systems, Vol.108, No.2, 1999, pp.159-178.
- Vidyasagar, M., "Nonlinear System Analysis", Second Edition, Prentice Hall, Englewoods Cliffs, New Jersey, 1978.
- Passino, K.M. and Yurkovich, S., "Fuzzy Control", First Edition, Addison Wesley Longman, Menlo Park, California, 1998.
- Denial, P., "A Study into Advanced Guidance Laws Using Computational Methods", M.S. Thesis, Naval Postgraduate School, Monterey, California, December, 2011.
- Shamma, J. S. and Cloutier, J. R., "Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations", Journal of Guidance, Control and Dynamics, Vol.16, No.2, March-April, 1993.
References
Lin, C.F., "Modern Navigation, Guidance and Control Processing", Prentice Hall, Englewood Cliffs, New Jersey, 1991.
Zarchan, P., "Tactical and Strategic Missile Guidance", 2nd Edition, AIAA, Washington, DC, 1994.
Ha, I.J., Hur, J.S., Ko, M.S.and Song., "Performance of PNG Laws for Randomly Maneuvering Targets", IEEE Transaction on Aerospace and Electronic Systems, Vol.26, No.5, pp.713-720.
Babu, K.R., Sarma, I.G. and Swamy, K.N., "Switched Bias Proportional Navigation for Homing Guidance Against Highly Maneuvering Targets", Journal of Guidance, Control and Dynamics, Vol.17, No.6, 1994, pp.1357-1363.
Talole, S.E. and Banavar, R.N., "Proportional Navigation Through Predictive Control", Journal of Guidance, Control and Dynamics, Vol.21, No.6, 1998, pp.1004-1006.
Nesline, F.W. and Zarchan, P., "A New Look at Classical Versus Modern Homing Guidance", Journal of Guidance, Control and Dynamics, Vol.4, No.1, Jan - Feb 1981, pp.78-85.
Bezick, S., Rusnak, I. and Grey, W.S., "Guidance of a Homing Missile via Nonlinear Geometric Control Methods", Journal of Guidance Control and Dynamics, Vol.18, No.3, May-June 1995, pp.441-448.
Junhong, S. and Shemin, S., "Three Dimensional Guidance Law Based on Adaptive Integral Sliding Mode Control", Chinese Journal of Aeronautics, Vol.29. No.1, February 2016, pp.202-214.
Pandit, S. K., Panchal, B. and Talole, S. E., "Design of Three Dimensional Guidance Law for Tactical Missiles", Proceeding of AIAA Guidance, Navigation and Control Conference, 8-12 February 2018, Florida.
Asher, R. B. and Matuszewski, J. P., "Optimal Guidance with Maneuvering Targets", Journal of Spacecrafts and Rockets, Vol.11, No.3, March 1974, pp. 204-206.
Nazaroff, G. J., "An Optimal Terminal Guidance Law", IEEE Transactions on Automatic Control, June 1976, pp.407-408.
Salmond, D. J., "Foundations of Modern Missile Guidance", Journal of Defense Science, Vol.1, No.2, April 1996, pp.171-179.
Huang, T.L.C., Tylock, J., Engel, S. and Whitson, J., "Comparison of Neural-network-based, Fuzzy Logic Based, and Numerical Nonlinear Inverse Flight Controls", Proceedings of the AIAA Guidance, Navigation, and Control Conference, AIAA, Washington, DC, 1994, pp.922-929.
Mishra, S. K., Sarma, I. G. and Swamy, K. N., "Performance Evaluation of Two Fuzzy Logic Based Homing Guidance Schemes", Journal of Guidance, Vol.17, No.6, 1995, pp.1389-1391.
Rajasekhar, V. and Sreenath, A. G., "Fuzzy Logic Implementation of Proportional Navigation Guidance", Acta Astronautica, Vol.46, No.1, 2000, pp.17-24.
Lin, C. L. and Chen, Y. Y., "Design of Fuzzy Logic Guidance Against High Speed Targets", Journal of Guidance, Control and Dynamics, Vol.23, No.1, Jan-Feb 2000, pp.17-25.
Omar, H. M., "Developing Integrated Fuzzy Guidance Law for Aerodynamic Homing Missile by Genetic Algorithm", Proceeding of IEEE Congress on Evolutionary Computation, Norway, 2009.
Jang, J. S. R., "Adaptive-network Based Fuzzy Inference System", IEEE Transactions on Systems, Man, and Cybernetics, Vol.23, No.3, 1993, pp.665-685.
Leekwijck, W. V. and Kerre, E. E., "Defuzzification: Criteria and Classification", Fuzzy Sets and Systems, Vol.108, No.2, 1999, pp.159-178.
Vidyasagar, M., "Nonlinear System Analysis", Second Edition, Prentice Hall, Englewoods Cliffs, New Jersey, 1978.
Passino, K.M. and Yurkovich, S., "Fuzzy Control", First Edition, Addison Wesley Longman, Menlo Park, California, 1998.
Denial, P., "A Study into Advanced Guidance Laws Using Computational Methods", M.S. Thesis, Naval Postgraduate School, Monterey, California, December, 2011.
Shamma, J. S. and Cloutier, J. R., "Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations", Journal of Guidance, Control and Dynamics, Vol.16, No.2, March-April, 1993.