Skip to main content
SpringerLink
Log in

Guidance laws based on H ∞ observer considering measurement noises

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

Since in practice the line-of-sight (LOS) rate is difficult for a pursuer to measure accurately, the robust nonlinear H ∞ observer is applied to estimate it using LOS azimuths without any priori information of target maneuvers or its estimate in the presence of measurement noise. A threedimensional guidance law is implemented by replacing the LOS rate with their estimates using only relative range, speed, and LOS azimuths. The stability analyses and performed simulations results show that the presented approach is effective.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Murtaugh S A and Criel H E, Fundamentals of proportional navigation, IEEE Spectrum, 1966, 3(6): 75–85.

    Article  Google Scholar 

  2. Adler F P, Missile guidance by three-dimensional proportional navigation, Journal of Applied Physics, 1956, 27(5): 500–507.

    Article  MATH  Google Scholar 

  3. Guelman M, The closed form solution of true proportional navigation, IEEE Transactions on Aerospace and Electronic Systems, 1976, AES-12(4): 472–482.

    Article  MathSciNet  Google Scholar 

  4. Cochran J E, No T S, and Thaxton D G, Analytic solutions to a guidance problem, Journal of Guidance, Control, and Dynamics, 1991, 14(1): 117–122.

    Article  Google Scholar 

  5. Yuan P J and Chern J S, Ideal proportional navigation, Journal of Guidance, Control, and Dynamics, 1992, 15(5): 1161–1166.

    Article  Google Scholar 

  6. Huang J and Lin C F, A modified CLOS guidance law via right inversion, IEEE Transactions on Aerospace and Electronic Systems, 1995, 31(1): 491–495.

    Article  Google Scholar 

  7. Zhou D, Sun S, and Teo K L, Guidance laws with finite time convergence, Journal of Guidance, Control, and Dynamics, 2009, 32(6): 1838–1846.

    Article  Google Scholar 

  8. Guelman M and Shinar J, Optimal guidance law in the plane, Journal of Guidance, Control, and Dynamics, 1984 7(4): 471–476.

    Article  MATH  Google Scholar 

  9. Yang C D and Yang C C, Optimal pure proportional navigation for maneuvering targets, IEEE Transactions on Aerospace and Electronic Systems, 1997, 33(3): 949–957.

    Article  Google Scholar 

  10. Cho H, Ryoo C K, and Tsourdos A, Optimal impact angle control guidance law based on linearization about collision triangle, Journal of Guidance, Control, and Dynamics, 2014, 37(3): 958–964.

    Article  Google Scholar 

  11. Zhang Q, Wang Z, and Tao F, Optimal guidance law design for impact with terminal angle of attack constraint, Optik-International Journal for Light and Electron Optics, 2014, 125(1): 243–251.

    Article  Google Scholar 

  12. Song S H and Ha I J, A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws, IEEE Transactions on Aerospace and Electronic Systems, 1994, 30(1): 238–247.

    Article  Google Scholar 

  13. Moon J, Kim K, and Kim Y, Design of missile guidance law via variable structure control, Journal of Guidance, Control, and Dynamics, 2001, 24(4): 659–664.

    Article  Google Scholar 

  14. Shtessel Y B and Tournes C H, Integrated higher-order sliding mode guidance and autopilot for dual control missiles, Journal of Guidance, Control, and Dynamics, 2009, 32(1): 79–94.

    Article  Google Scholar 

  15. Sun S, Zhou D, and Hou W, A guidance law with finite time convergence accounting for autopilot lag, Aerospace Science and Technology, 2013, 25(1): 132–137.

    Article  Google Scholar 

  16. Zhang Y, Ma G, and Liu A, Guidance law with impact time and impact angle constraints, Chinese Journal of Aeronautics, 2013, 26(4): 960–966.

    Article  Google Scholar 

  17. Wang X and Wang J, Partial integrated guidance and control with impact angle constraints, Journal of Guidance, Control, and Dynamics, 2014, 1–12.

    Google Scholar 

  18. Huang K, Qi R D, and Wen S I, Guidance Rader Technology, Publishing House of Electronics Industry, Beijing, 2004 (in Chinese).

    Google Scholar 

  19. Gurfil P, Zero-miss-distance guidance law based on line-of-sight rate measurement only, Control Engineering Practice, 2003, 11(7): 819–832.

    Article  Google Scholar 

  20. Chwa D, Choi J Y, and Anavatti S G, Observer-based adaptive guidance law considering target uncertainties and control loop dynamics, IEEE Transactions on Control Systems Technology, 2006, 14(1): 112–123.

    Article  Google Scholar 

  21. Yan H and Ji H, Guidance laws based on input-to-state stability and high-gain observers, IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(3): 2518–2529.

    Article  MathSciNet  Google Scholar 

  22. Ma K, Khalil H, and Yao Y, Guidance law implementation with performance recovery using an extended high-gain onserver, Aerospace Science and Technology, 2013, 24: 177–186.

    Article  Google Scholar 

  23. Chwa D and Choi J Y, Adaptive nonlinear guidance law considering control loop dynamics, IEEE Transactions on Aerospace and Electronic Systems, 2003, 39(4): 1134–1143.

    Article  Google Scholar 

  24. Nguang S and Fu M, Robust nonlinear H ∞ filtering, Automatica, 1996, 32(8): 1195–1199.

    Article  MathSciNet  MATH  Google Scholar 

  25. Abbaszadeh M and Marquez H J, A generalized framework for robust nonlinear H ∞ filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties, Automatica, 2012, 48(5): 894–900.

    Article  MathSciNet  MATH  Google Scholar 

  26. Palumbo N F, Blauwkamp R A, and Lloyd J M, Basic principles of homing guidance, Johns Hopkins APL Technical Digest, 2010, 29(1): 25.

    Google Scholar 

  27. Boyd S and Vandenberghe L, Convex Optimization, Cambridge University Press, 2004.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, Hefei, 230026, China

    Fei Liao & Haibo Ji

Authors
  1. Fei Liao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Haibo Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fei Liao.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61273090.

This paper was recommended for publication by Editor CHEN Benmei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liao, F., Ji, H. Guidance laws based on H ∞ observer considering measurement noises. J Syst Sci Complex 29, 642–656 (2016). https://doi.org/10.1007/s11424-015-4219-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-015-4219-5

Keywords

Search

Navigation