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\({H}_{\infty }\) Approach to Performance Analysis of Missile Control Systems with Proportional Navigation Guidance Laws

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Abstract

This paper presents a performance analysis of missile control systems considering nonlinear pursuit dynamics and proportional navigation guidance (PNG) laws. In order to analyze the system stability, missile dynamics are simplified as a linearized model which is often considered in missile autopilot design and the well-known \({{{H}}}_{\boldsymbol{\infty }}\) approach is employed. A sufficient condition guaranteeing miss distance and the closed loop stability is proposed. The provided condition of missile system stability can be numerically easily verified by a linear matrix inequality (LMI).

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References

  1. Hong J-W, Song S-H, Ha I-J (2014) Singular perturbation like approach to compensation of actuator dynamics effect in missile control. IEEE Trans Aerosp Electron Syst 50(10):238–248

    Google Scholar 

  2. Song S-H, Ha I-JA (1994) Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws. IEEE Trans Aerosp Electron Syst 30(1):238–248

    Article  Google Scholar 

  3. Balakrishnan SN, Tsourdos A, White BA (2013) Advances in missile guidance, control, and estimation. CRC Press, New York

    Google Scholar 

  4. Blakelock JH (1991) Automatic control of aircraft and missile. Wiley, New York

    Google Scholar 

  5. M. Guelman (1990) The stability of proportional navigation systems. In: AIAA conference, pp 586–590

  6. Doyle JC, Glover K, Khargonekar PP, Francis BA (1989) State-space solutions to standard H2 and H∞ control problems. IEEE Trans Autom Control 38(8):831–847

    Article  Google Scholar 

  7. Zhou K, Khargonekar PP (1988) An algebraic riccati equation approach to H1 optimization. Syst Control Lett 11:85–91

    Article  Google Scholar 

  8. Gahinet P, Apkarian P (1994) A linear matrix inequality approach to H∞ control. Int J Robust Nonlinear Control 4:421–448

    Article  MathSciNet  Google Scholar 

  9. Horn RA, Johnson CR (1990) Matrix analysis. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  10. Shamma JS, Cloutier JR (1993) Gain-scheduled missile autopilot design using linear parameter varying transformation. J Guidance Control Dyn 16(2):257–263

    Article  Google Scholar 

  11. Kim J, Lyou J (2008) Absolute stability margins in missile guidance loop. Int J Control Autom Syst 6(3):460–466

    Google Scholar 

  12. Fu Z, Dai Y, Zhang K (2017) Research progress on design methods for missile integrated guidance and control. In: International conference on automation, control and robotics, pp 15–19

Download references

Acknowledgements

This work was supported by Hallym University Research Fund HRF-202005-020.

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  1. School of Software, Hallym University, 1 Hallymdaehak-gil, Chuncheon, Gangwon, Korea

    Seong-Ho Song

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  1. Seong-Ho Song
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Correspondence to Seong-Ho Song.

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Song, SH. \({H}_{\infty }\) Approach to Performance Analysis of Missile Control Systems with Proportional Navigation Guidance Laws. J. Electr. Eng. Technol. 16, 1083–1088 (2021). https://doi.org/10.1007/s42835-020-00617-0

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  • DOI: https://doi.org/10.1007/s42835-020-00617-0

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