Abstract
The paper focuses on the problem of synthesis of path following control for a robot with omni wheels. Control is synthesized using differential geometry methods through nonlinear transformation of the initial dynamic model. The main results are presented in the form of nonlinear control algorithm and experimental data.
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Aguiar, A.P., Hespanha, J.P., and Kokotovic, P.V., Path-following for nonminimum phase systems removes performance limitations, IEEE Transactions on Automatic Control, 2005, vol. 50, pp. 234–239.
Nielsen, C., Fulford, C., and Maggiore, M., Path following using transverse feedback linearization, Application to a maglev positioning system, American Control Conference, ACC’ 09, 2009, pp. 3045–3050.
Breivik, M., and Fossen, T.I., Principles of guidancebased path following in 2D and 3D, Proceedings of the IEEE Conference on Decision and Control, Seville, Spain, 2005. pp. 627–634.
Lee, T., Leok, M., and McClamroch, N.H., Geometric tracking control of a quadrotor UAV on SE(3), Proceedings of the IEEE Conference on Decision and Control, 2010, pp. 5420–5425.
Burdakov, S.F., Miroshnik, I.V., and Stel’makhov, R.E., Sistemy upravleniya dvizheniem kolesnykh robotov (Motion Control Systems of Wheeled Robots), St. Petersburg: Nauka, 2001.
Miroshnik, I.V., Soglasovannoe upravlenie mnogokanal’nymi sistemami (Coordinated Control of Multichannel Systems), Leningrad: Energoatomizdat, 1990.
Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.
Miroshnik, I.V. and Chepinskiy, S.A., Control of multilink kinematic mechanisms, Nauchno-Tekhnicheskii vestnik SPbGU ITMO, 2001, no. 3 (3), pp. 144–149.
Miroshnik, I.V. and Chepinskiy, S.A., Trajectory control of nontrivial kinematic mechanisms, Nauchno-Tekhnicheskii vestnik SPbGU ITMO, 2004, no. 3 (14), pp. 5–10.
Kapitanyuk, Yu.A. and Chepinskiy, S.A., Control of mobile robot motion along a predefined piecewisesmooth path, Giroskopiya i Navigatsiya, 2013, no. 2, pp. 42–52.
Kapitanyuk, Yu.A. and Chepinskiy, S.A., Control of multichannel dynamic system along piecewise-smooth path, Izv. Vuzov. Priborostroenie, 2013, no. 4, pp. 65–70.
Kapitanyuk, Y.A., Chepinskiy, S.A., and Kapitonov, A.A., Geometric path following control of a rigid body based on the stabilization of sets, in 19th IFAC World Congress, 2014.
Jian, W., Kapitanyuk, Y.A., Chepinskiy, S.A., Liu, D., and Krasnov, A.Yu., Geometric path following control in a moving frame, IFAC-PapersOnLine 48-11, 2015, pp. 150–155.
Miroshnik, I.V. and Chepinskiy, S.A., Trajectory control of underactuated mechanisms, 2nd IFAC Conference on Mechatronic Systems, Berkeley, 2002, pp. 959–1004.
Miroshnik, I.V. and Chepinskiy, S.A., Trajectory motion control of underactuated manipulators, Prepr. 7th IFAC Symposium on Robot Control, September 1–3, Wroclaw, Poland, 2003, pp. 105–110.
Miroshnik, I.V. and Nikiforov, V.O., Trajectory motion control and coordination of multilink robots, Prepr. 13th IFAC World Congress, San-Francisco, 1996, pp. 361–366.
Canudas de Wit, C., Siciliano, B., and Bastin, G., Theory of Robot Control, London: Springer-Verlag, 1996.
Isidori, A., Nonlinear Control Systems, Berlin: Springer-Verlag, 1995, 3rd edition.
Kapitanyuk, Y.A. and Chepinskiy, S.A., Trajectory control of mobile robot in changing environment, XIV Konferentsiya molodykh uchenykh “Navigatsiya i Upravlenie Dvizheniem” (14th Conference of Young Scientists “Navigation and Motion Control”, Peshekhonov, V.G., Ed, St. Petersburg, 2012, pp. 506–512.
Bushuev, A.B., Isaeva, E.G., Morozov, S.N., and Chepinskiy, S.A., Trajectory control of multichannel dynamic systems, Izv. Vuzov. Priborostroenie, 2009, vol. 52, no. 11, pp. 50–56.
Bobtsov, A.A., Kapitanyuk, Yu.A., Kapitonov, A.A., Kolyubin, S.A., Pyrkin, A.A., Chepinskiy, S.A., and Shavetov, S.V., Lego Mindstorms NXT technology in training students in adaptive control, Nauchno-Tekhnicheskii vestnik SPbGU ITMO, 2011, no. 1 (71), pp. 103–108.
Kim, D., Mnogomernye, nelineinye, optimal’nye i adaptivnye sistemy (Multidimensional, Nonlinear, Optimal, and Adaptive Systems), vol. 2, Moscow: Fizmatlit, 2004.
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Original Russian Text © J. Wang, A.Yu. Krasnov, Yu.A. Kapitanyuk, S.A. Chepinskiy, Y. Chen, H. Liu, 2016, published in Giroskopiya i Navigatsiya, 2016, No. 3, pp. 131–142.
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Wang, J., Krasnov, A.Y., Kapitanyuk, Y.A. et al. Path following control algorithms implemented in a mobile robot with omni wheels. Gyroscopy Navig. 7, 353–359 (2016). https://doi.org/10.1134/S2075108716040118
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DOI: https://doi.org/10.1134/S2075108716040118