Skip to main content
Log in

Synthesis of Stabilization Laws for Lateral Motion of a Maneuverable Aircraft at the Lack of Data on Its Sideslip and Roll Angles

  • Flight Dynamics and Control of Flight Vehicles
  • Published:
Russian Aeronautics Aims and scope Submit manuscript

Abstract

The problem of synthesizing stabilization laws for lateral motion of a maneuverable aircraft at the lack of data on its sideslip and roll angles is analytically solved. The solution is based on the improved method of output signal control synthesis, which provides the specified spectrum of MIMO-system motion. The results of analytical synthesis of the control law and numerical simulation data are presented.

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. Zubov, N.E., Zybin, E.Yu., Mikrin, E.A., Misrikhanov, M.Sh., Proletarskii, A.V., and Ryabchenko, V.N., Output Control of a Spacecraft Motion Spectrum, Izv. RAN. Teoriya i Sistemy Upravleniya, 2014, no. 4, pp. 111–122 [Journal of Computer and Systems Sciences International (Engl. Transl.), vol. 53, no. 4, pp. 576–586.]

  2. Zubov, N.E., Mikrin, E.A., Oleinik, A.S., Ryabchenko, V.N., and Efanov, D.E., The Spacecraft Angular Velocity Estimation in the Orbital Stabilization Mode by the Results of the Local Vertical Sensor Measurements, Vestnik MGTU im. N.E. Baumana. Seriya: Priborostroenie, 2014, no. 5, pp. 3–17.

  3. Romanenko, L.G., Romanenko, A.G., and Samarova, G.G., Aircraft Longitudinal Control without a Pitch Command in the Autopilot, Izv. Vuz. Av. Tekhnika, 2014, vol. 57, no. 4, pp. 25–29 [Russian Aeronautics (Engl. Transl.), vol. 57, no. 4, pp. 361–367].

    Google Scholar 

  4. Romanenko, L.G., Samarova, G.G., and Romanenko, A.G., Aircraft Lateral-Directional Control without a Roll Command in the Autopilot, Izv. Vuz. Av. Tekhnika, 2014, vol. 57, no. 2, pp. 19–23 [Russian Aeronautics (Engl. Transl.), vol. 57, no. 2, pp. 134–140].

    Google Scholar 

  5. Rodnishchev, N.E., Romanenko, L.G., and Denisov, K.G., To Estimation of Control Law Parameters for the Lateral Motion of Aircraft Taking into Account Wind Disturbances, Izv. Vuz. Av. Tekhnika, 2015, vol. 58, no. 4, pp. 44–49 [Russian Aeronautics (Engl. Transl.), vol. 58, no. 4, pp. 407–412].

    Google Scholar 

  6. Zubov, N.E., Mikrin, E.A., Misrikhanov, M.S., and Ryabchenko, V.N., Stabilization of Coupled Motions of an Aircraft in the Pitch-Yaw Channels in the Absence of Information About the Sliding Angle: Analytical Synthesis, Izv. RAN. Teoriya i Sistemy Upravleniya, 2015, no. 1, pp. 95–105 [J. of Computer and Systems Sciences International (Engl. Transl.), vol. 54, no. 1, pp. 93–103].

  7. Zubov, N.E., Mikrin, E.A., Misrikhanov, M.S., and Ryabchenko, V.N., Output Control of the Longitudinal Motion of a Flying Vehicle, Izv. RAN. Teoriya i Sistemy Upravleniya, 2015, no. 5, pp. 164–175 [J. of Computer and Systems Sciences International (Engl. Transl.), vol. 54, no. 5, pp. 825–837].

  8. Zubov, N.E., Mikrin, E.A., Ryabchenko, V.N., and Fomichev, A.V., Synthesis of Control Laws for Aircraft Lateral Motion at the Lack of Data on the Slip Angle: Analytical Solution, Izv. Vuz. Av. Tekhnika, 2017, vol. 60, no. 1, pp. 61–70 [Russian Aeronautics (Engl. Transl.), vol. 60, no. 1, pp. 64–73].

    Google Scholar 

  9. Zubov, N.E., Mikrin, E.A., and Ryabchenko, V.N. Matrichnye metody v teorii i praktike sistem avtomaticheskogo upravleniya letatel’nykh apparatov (Matrix Methods in the Theory and Practice of Aircraft Automatic Control Systems), Moscow: MGTU im. N.E. Baumana, 2016.

    Google Scholar 

  10. Leonov, G.A. and Shumafov, M.M., Metody stabilizatsii lineinykh upravlyaemykh system (Methods of Stabilization of Linear Controlled Systems), St.Petersburg: SPbGU, 2005.

    Google Scholar 

  11. Ryabchenko, V.N., Embedding of Systems. Irregular Control Laws, Avtomatika i Telemekhanika, 2001, no. 7, pp. 188–200 [Automation and Remote Control (Engl. Transl.), 2001, vol. 62, no. 7, pp. 1192–1203].

  12. Zubov, N.E., Mikrin, E.A., Ryabchenko, V.N., and Proletarskii, A.V., Analytical Synthesis of Control Laws for Lateral Motion of Aircraft, Izv. Vuz. Av. Tekhnika, 2015, vol. 58, no. 3, pp. 14–20 [Russian Aeronautics (Engl. Transl.), vol. 58, no. 3, pp. 263–270].

    Google Scholar 

  13. Zubov, N.E., Mikrin, E.A., Misrikhanov, M.S., and Ryabchenko, V.N., Modification of the Exact Pole Placement Method and Its Application for the Control of Spacecraft Motion, Izv. RAN. Teoriya i Sistemy Upravleniya, 2013, no. 25, pp. 118–132 [J. of Computer and Systems Sciences International (Engl. Transl.), vol. 52, no. 2, pp. 279–292].

  14. Fu, M., Pole Placement Via Static Output Feedback is NP-Hard, IEEE Transactions on Automatic Control, 2004, vol. 49, no. 5, pp. 855–857.

    Article  MathSciNet  MATH  Google Scholar 

  15. Eremenko, A. and Gabrielov, A., Pole Placement by Static Output Feedback for Generic Linear Systems, SIAM J. on Control and Optimization, 2002, vol. 41, no. 1, pp. 303–312.

    Article  MathSciNet  MATH  Google Scholar 

  16. Franke, M., Eigenvalue Assignment by Static Output Feedback—on a New Solvability Condition and the Computation of Low Gain Feedback Matrices, Int. J. of Control, 2014, vol. 87, no. 1, pp. 64–75.

    Article  MathSciNet  MATH  Google Scholar 

  17. Yang, K. and Orsi, R., Generalized Pole Placement via Static Output Feedback: A Methodology Based on Projections, Automatica, 2006, vol. 42, no. 12, pp. 2143–2150.

    Article  MathSciNet  MATH  Google Scholar 

  18. Peretz, Y., A Randomized Approximation Algorithm for the Minimal-Norm Static-Output-Feedback Problem, Automatica, 2016, vol. 63, pp. 221–234.

    Article  MathSciNet  MATH  Google Scholar 

  19. Shimjith, S.R., Tiwari, A.P., and Bandyopadhyay, B., Modeling and Control of a Large Nuclear Reactor, Berlin—Heidelberg: Springer-Verlag, 2013.

    Book  Google Scholar 

Download references

Acknowledgements

The work is supported by the Russian Science Foundation, project no. 19-19-00031.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. E. Zubov.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zubov, N.E., Mikrin, E.A., Ryabchenko, V.N. et al. Synthesis of Stabilization Laws for Lateral Motion of a Maneuverable Aircraft at the Lack of Data on Its Sideslip and Roll Angles. Russ. Aeronaut. 62, 22–31 (2019). https://doi.org/10.3103/S1068799819010045

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068799819010045

Keywords

Navigation