Skip to main content
Log in

Stabilizing helicopter motion with respect to all variables

  • Nonlinear Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

We solve the equilibrium stabilization problem for equations that describe the motion of a helicopter. We use transformations to a normal form, partial linearization with feedback, and the method of virtual outputs that let us stabilize the system with respect to all variables.

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

Access this article

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. Tanaka, K., Ohtake, H., Tanaka, M., et al., A Takagi-Sugeno Fuzzy Model Approach to Vision-Based Control of a Micro Helicopter, Proc. 51st IEEE Conf. Decision and Control (CDC), Maui, Hawaii, 2012, pp. 6217–6222.

    Google Scholar 

  2. Isidori, A., Robust Nonlinear Motion Control of a Helicopter, IEEE Trans. Automat. Control, 2003, vol. 48, no. 3, pp. 413–426.

    Article  MathSciNet  Google Scholar 

  3. Koo, T.J. and Sastry, S., Output Tracking Control Design of a Helicopter Model Based on Approximate Linearization, Proc. 37th IEEE Conf. Decision & Control, Tampa, 1998, vol. 4, pp. 3635–3640.

    Google Scholar 

  4. Isidori, A., Nonlinear Control Systems, London: Springer-Verlag, 1995.

    Book  MATH  Google Scholar 

  5. Krishchenko, A.P., Panfilov, D.Yu., and Tkachev, S.B., Constructing Phase Minimal Affine Systems, Differ. Uravn., 2002, vol. 38, no. 11, pp. 1483–1489.

    MathSciNet  Google Scholar 

  6. Krishchenko, A.P., Panfilov, D.Yu., and Tkachev, S.B., Global Stabilization of Affine Systems with Virtual Outputs, Differ. Uravn., 2003, vol. 39, no. 11, pp. 1503–1510.

    MathSciNet  Google Scholar 

  7. Tkachev, S.B., Stabilization of Phase Non-Minimal Affine Systems with Vector Control, Nauka Obrazov., Electron. J., 2012, no. 10, Moscow: Mosk. Gos. Tekh. Univ., URL: http://technomag.edu.ru/doc/450613.html (accessed on 02.02.13).

    Google Scholar 

  8. Shevlyakov, A.A., Stabilization of Affine Systems with High Index of Reducibility to a Quasicanonical Form, Nauka Obrazov., Electron. J., 2012, no. 9, Moscow: Mosk. Gos. Tekh. Univ., URL: http://technomag.edu.ru/doc/467824.html (accessed on 02.02.13).

    Google Scholar 

  9. Gavrilets, V., Mettler, B., and Feron, E., Dynamic Model for a Miniature Aerobatic Helicopter, MIT-LIDS report, 2003, no. LIDS-P-2580.

    Google Scholar 

  10. Tkachev, S.B., Stabilizatsiya neminimal’no-fazovykh affinnykh sistem metodom virtual’nykh vykhodov (Stabilization of Phase Non-Minimal Affine Systems with the Method of Virtual Outputs), Doctoral (Phys.-Math.) Dissertation, Moscow: Mosk. Gos. Tekh. Univ., 2010.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.A. Shevlyakov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 1, pp. 115–129.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shevlyakov, A.A. Stabilizing helicopter motion with respect to all variables. Autom Remote Control 75, 95–106 (2014). https://doi.org/10.1134/S000511791401007X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000511791401007X

Keywords

Navigation