DOI QR코드

DOI QR Code

Adaptive Nonlinear Guidance Considering Target Uncertainties and Control Loop Dynamics

목표물의 불확실성과 제어루프 특성을 고려한 비선형 적응 유도기법

  • Published : 2003.04.01

Abstract

This paper proposes a new nonlinear adaptive guidance law. Fourth order state equation for integrated guidance and control loop is formulated considering target uncertainties and control loop dynamics. The state equation is further changed into the normal form by nonlinear coordinate transformation. An adaptive nonlinear guidance law is proposed to compensate for the uncertainties In both target acceleration and control loop dynamics. The proposed law adopts the sliding mode control approach with adaptation fer unknown bound of uncertainties. The present approach can effectively solve the existing guidance problem of target maneuver and the limited performance of control loop. We provide the stability analyses and demonstrate the effectiveness of our scheme through simulations.

References

  1. H. J. Pastric, S. Setlzer, and M. E. Warren, 'Guidance Laws for Short Range Homing Missile,' Journal of Guidance, Control, and Dynamics, vol. 4, no. 2, pp. 98-108, 1981 https://doi.org/10.2514/3.56060
  2. J. R. Cloutier, J. H. Evers, and J. J. Feeley, 'Assessment of Air to Air Missile and Guidance Technology,' IEEE Control Systems Magazine, vol. 9, pp. 27-34, Oct. 1989 https://doi.org/10.1109/37.41440
  3. S. H. Song, and I. J. Ha, 'A Lyapunov-like Approach to Performance Analysis of 3-Dimensional Pure PNG Laws,' IEEE Transactions on Aerospace and Electronic Systems, vol. 30, no. 1, pp. 238-247, 1994 https://doi.org/10.1109/7.250424
  4. S. Bezik, J. Rusnak, W. S. Gray, 'Guidance of a Homing Missile via Nonlinear Geometric Control Methods,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 3, pp. 441-448, 1995 https://doi.org/10.2514/3.21407
  5. I. J. Ha and S. Chong, 'Design of a CLOS Guidance Law via Feedback Linearization,' IEEE Tranactions on Aerospace and Electronic Systems, vol. 28, no. 1, pp. 5162, 1992 https://doi.org/10.1109/7.135432
  6. J. Huang and C. F. Lin, 'A Modified CLOS Guidance Law via Right Inversion,' IEEE Transactions on Aerospace and Electronic Systems, vol. 31, no. 1, pp. 491-495,1995 https://doi.org/10.1109/7.366334
  7. C. D. Yang and H. Y. Chen, 'Nonlinear $H_{\infty} Robust Guidance Law for Homing Missiles,' Journal of Guidance, Control, and Dynamics, vol. 21, no. 6, pp. 882-890, 1998 https://doi.org/10.2514/2.4321
  8. S. D. Brierley, and R. Longchamp, 'Application of Sliding Mode Control to Air-Air Interception Problem,' IEEE Transactions on Aerospace and Electronic Systems, vol. 26,no.2,pp. 306-325,1990 https://doi.org/10.1109/7.53460
  9. K. R. Babu, J. G. Sarma, and K. N. Swamy, 'Switched Bias Proportional Navigation for Homing Guidance Against Highly Maneuvering Target,' Journal of Guidance, Control, and Dynamics, vol. 17, no. 6, pp. 1357-1363, 1994 https://doi.org/10.2514/3.21356
  10. D. Zhou, C. Mu, and W. Xu, 'Adaptive Sliding-Mode Guidance of a Homing Missile,' Journal of Guidance, Control, and Dynamics, vol. 22, no. 4, pp. 589-594, 1999 https://doi.org/10.2514/2.4421
  11. C. F. Lin, Q. Wang, J. L. Speyer, J. H. Evers, and Cloutier, J. R., 'Integrated Estimation, Guidance, and Control System Design Using Game Theoretic Approach,' Proceedings on the American Control Conference, Chicago, Illinois, USA, pp. 3220-3224, 1992
  12. J. H. Evers, J. R. Cloutier, C. F. Lin, W. R., Yueh, and Q. Wang, 'Application of Integrated Guidance and Control Schemes to a Precision Guided Missile,' Proceedings on the American Control Conference, Chicago, Illinois, USA, pp. 3225-3230, 1992
  13. C. F. Lin, E. Ohlmeyer, J. E. Bibel, and S. Malyevac, 'Optimal Design of Integrated Missile Guidance and Control, 1998 World Aviation Conference, Anaheim, CA, AIAA-985519, Sep. 1998
  14. D. Chwa and J.Y. Choi, 'New Parametric Affine Modeling and Control for Skid-to- Turn Missiles,' IEEE Transactions on Control Systems Technology, vol. 9, no. 2, pp.335-347, March 2001 https://doi.org/10.1109/87.911385
  15. J.Y. Choi, D. Chwa, and M.S.Kim, 'Adaptive Control for Feedback-Linearized Missiles with Uncertainties', IEEE Transactions on Aerospace and Electronic Systems, vol. 36, no. 2, pp. 467-481, Apr. 2000 https://doi.org/10.1109/7.845225
  16. G., Song and R. Mukherjee, 'A Comparison Study of Conventional Non-smooth Time-invariant and Novel Smooth Time-varying Robust Compensators,' IEEE Transactions on Control Systems Technology, vol. 6, no. 4, pp. 571-576, 1998 https://doi.org/10.1109/87.701355