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Speed Stabilization of Mechatronic Systems of Interval Type

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Abstract

A method is proposed for adjusting the regulators of dynamic quadratic systems in which the state variables influence one another, with retardation of the kinematic deviations from the reference (program) trajectory, in the case where the parameters are integrally indeterminate. This approach is based on decomposition of the initial system and the direct Lyapunov method.

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REFERENCES

  1. Asanov, A.Z. and Dem’yanov, D.N., Choice of the optimal structure of the output matrix during changing the spectrum of transfer zeros of a multiply connected dynamic system, Vestn. Ufimsk. Gos. Aviats. Tekh. Univ., 2009, vol. 13, no. 2 (35), pp. 11–17.

  2. Lizina, E.A. and Shchennikov, V.N., Stabilization of a multiply-connected controlled hybrid dynamic system with non-overlapping decompositions, Izv. Vyssh. Uchebn. Zaved., Povolzh. Reg., Fiz.-Mat. Nauki, 2011, no. 4 (20), pp. 14–23.

  3. Stebulyanin, M.M., The decomposition method in the stability analysis of a multi-connected mechatronic system, Vestn. Mosk. Gos. Tekhnol. Univ., Stankin, 2008, no. 4, pp. 39–44.

  4. Stebulyanin, M.M., The synthesis of stabilizers of mechatronic systems within parametric uncertainty, Vestn. Mosk. Gos. Tekhnol. Univ., Stankin, 2016, no. 4 (39), pp. 90–93.

  5. Lizina, E.A. and Shchennikova, E.V., Stabilization of a multi-connected continuously-discrete non-autonomous system, Vestn. Mordovsk. Univ., Fiz.-Mat. Nauki, 2012, no. 2, pp. 98–103.

  6. Pshikhonov, V.Kh. and Medvedev, M.Yu., Synthesis of control systems for submerged vehicles with nonlinear characteristics of executive bodies, Izv. Yuzhn. Fed. Univ., Tekh. Nauki, 2011, no. 3 (116), pp. 147–156.

  7. Stebulyanin, M.M. and Sinitsyn, A.G., The principle of contour control by an industrial robot in the mode of technological uncertainty, Vestn. Mosk. Gos. Tekhnol. Univ., Stankin, 2011, no. 3 (15), pp. 161–163.

  8. Makarova, T.A. and Stebulyanin, M.M., Robust algorithm for stabilization of the movement of a three-link robot with a gearless drive, Vestn. Mosk. Gos. Tekhnol. Univ., Stankin, 2013, no. 2 (25), pp. 74–79.

  9. Lezhnina, Yu.A. and Ternovaya, G.N., Robust decentralized control with compensation of disturbances by nonlinear multi-connected objects with state delay, Vestn. Astrakh. Gos. Tekh. Univ., Ser.: Upr., Vychisl. Tekh. Inf., 2012, no. 2, pp. 47–55.

  10. Stebulyanin, M.M., The derivation of the equations of perturbed motion of the class of mechatronic systems, Vestn. Mosk. Gos. Tekhnol. Univ., Stankin, 2011, no. 3 (15), pp. 131–136.

  11. Zimenko, K.A., Kremlev, A.S., Polyakov, A.E., and Efimov, D.V., Robust stabilization of a two-rotor multichannel object, Nauchn.-Tekh. Vestn. Inf. Tekhnol., Mekh. Opt., 2018, vol. 18, no. 3, pp. 392–398.

    Google Scholar 

  12. Kalyadin, V.A. and Stebulyanin, M.M., Dynamic model of a doubly coupled mechatronic system with elasticity and free play, Russ. Eng. Res., 2013, vol. 33, no. 6, pp. 372–374.

    Article  Google Scholar 

  13. Kravchenko, S.A., Nabilkin, A.Yu., and Biryukov, V.P., Multiconnected control system of cutting force and the position of the cutter along the transverse axis, Vestn. Sarat. Gos. Tekh. Univ., 2011, no. 3 (58), pp. 202–205.

  14. Kirillov, A.N., Dynamic decomposition method in modeling of control systems with structural changes, Inf.-Upr. Sist., 2009, no. 1, pp. 20–24.

  15. Rodionov, V.I., Decomposition and research method of gyroscopic systems based on the guidance-stabilization principle, Izv. Tul’sk. Gos. Univ., Tekh. Nauki, 2016, no. 10, pp. 301–310.

  16. Eshenko, A.A., Synthesis of automatic control devices of a doubly-connected control system for servo-drives of manipulators, Sovrem. Tekhnol. Sist. Anal. Model., 2014, no. 1 (41), pp. 76–83.

  17. Aleksandrov, A.Yu. and Kosov, A.A., Stability analysis of equilibrium positions of nonlinear mechanical systems based on decomposition, Vestn. S.-Peterb. Univ., Ser. 10: Prikl. Matem. Inf. Protsess. Upr., 2009, no. 1, pp. 143–154.

  18. Stebulyanin, M.M., Combinated synthesis of the law of control of multiconnected mechatronic systems in dynamic positioning mode, Mekhatronika, Avtom., Upr., 2009, no. 10, pp. 31–35.

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Correspondence to M. M. Stebulyanin.

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Translated by B. Gilbert

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Stebulyanin, M.M., Malyarenko, A.V. Speed Stabilization of Mechatronic Systems of Interval Type. Russ. Engin. Res. 39, 1001–1007 (2019). https://doi.org/10.3103/S1068798X19120219

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  • DOI: https://doi.org/10.3103/S1068798X19120219

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