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The paper presents its contribution to tracking control design of mechanical systems in underactuated mode conditions, i.e. when the number of actuators is less than the number of possible control inputs. Fully actuated mechanical systems are quite well-researched and controller designs are well-developed for them as well. However, due to costs, weight, design, and performance regimes or due to an actuator failure, the underactuated control mode is required in applications. With the aid of the computational procedure for constrained dynamics (CoPCoD), the constrained dynamics, i.e. the reference motion dynamics, and tracking control in an underactuated mode are designed for an example of a three-link planar manipulator model with rigid and flexible links. A dynamic optimization problem is formulated in the paper to obtain optimal time courses of manipulator joint coordinates in underactuated mode conditions in order to apply them to a manipulator driving links controller.
Rocznik
Tom
Strony
art. no. e144620
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
autor
- Warsaw University of Technology, Nowowiejska 24, 00-665 Warsaw, Poland
autor
- University of Bielsko-Biala, Willowa 2, 43-309 Bielsko-Biala, Poland
autor
- University of Bielsko-Biala, Willowa 2, 43-309 Bielsko-Biala, Poland
Bibliografia
- [1] Y. Liu, and H. Yu, “A survey of underactuated mechanical systems,” IET Contr. Theory Appl., vol. 7, no. 7, pp. 921–935, 2013.
- [2] S. Krafes, Z. Chalh, and A. Saka, “A review on the control of second order underactuated mechanical systems,” Complexity, vol. 2018, p. 9573514, 2018, doi: 10.1155/2018/9573514.
- [3] P. Masarati, M. Morandini, and A. Fumagalli, “Control constraint of underactuated aerospace systems,” J. Comput. Nonlinear Dyn., vol. 9, no. 2, p. 021014, 2014.
- [4] K.D. Do and J. Pan, “Control of Ships and Underwater Vehicles: Design for Underactuated and Nonlinear Marine Systems,” in Advances in Industrial Control, Springer-Verlag, London, UK, 2009.
- [5] J. Moreno-Valenzuela and C. Aguilar-Avelar, “Motion control of underactuated mechanical systems,” in Intelligent Systems, Control and Automation: Science and Engineering, vol. 88, Springer, Cham, Switzerland, 2018.
- [6] R. Seifried, “Dynamics of Underactuated Multibody Systems: Modeling, Control and Optimal Design,” in Solid Mechanics and its Applications, vol. 205, Springer International Publishing, 2014.
- [7] O. Staffetti and E. Staffetti, “Embedded Optimal Control of Robot Manipulators with Passive Joints,” Math. Probl. Eng., vol. 2015, p. 348178, 2015.
- [8] L. Colombo, D.M. de Diego, and M. Zuccalli, “Optimal control of underactuated mechanical systems: A geometric approach,” J. Math. Phys., vol. 51, p. 083519, 2010, doi: 10.1063/1.3456158.
- [9] E. Jarzębowska and A. Szewczyk, “An Emergency tracking controller design for a manipulator after its actuator failure,” Proc. ASME, IDETC/CIE, USA, 2015, doi: 10.1115/DETC2015-47304.
- [10] E. Jarzębowska, “Tracking control design for underactuated constrained systems,” Robotica, 24(5):591-593, 2006.
- [11] E. Jarzębowska, A. Urbaś, and K. Augustynek, “Analysis of influence of a crane flexible supports, link flexibility, and joint friction on vibration associated with programmed motion execution,” J. Vibr. Eng. Technol., vol. 8, pp. 337–350, 2020.
- [12] E. Jarzębowska, K. Augustynek, and A. Urbaś, “Motion tracking of a rigid-flexible link manipulator in a controller failure condition,” Perspectives in dynamical systems II: mathematical and numerical approaches: Springer Proceedings in Mathematics and Statistics, 2022. (in review)
- [13] S.G. Nersesov, H. Ashrafiuon and P. Ghorbanian, “On the stability of sliding mode control for a class of underactuated nonlinear systems,” Proc. of the 2010 American Control Conference, USA, 2010, pp. 3446–3451.
- [14] J. Zhong-Ping, “Controlling underactuated mechanical systems: A review and open problems,” in Lecture Notes in Control and Information Sciences, 2010, vol. 407, pp. 77–88.
- [15] B. He, S.A. Wang and Y. Liu, “Underactuated robotics: A review,” Int. J. Adv. Robot. Syst., vol. 16, no. 4, pp. 1–29, 2019, doi: 10.1177/1729881419862164.
- [16] K. Augustynek and K. Warwas, “Optimization of deployment process of a satellite by applying genetic algorithms and distributed computing,” Informative Safety, Volodymyr Dahl East Ukrainian National University, vol. 1, no. 7, pp. 117–126, 2012.
- [17] K. Warwas, K. Augustynek, V. Martsenyuk, O. Korchenko, and V. Karpinskyi, “Application of EVCA algorithm in dynamic optimisation of the articulated vehicle motion for control of stability,” ICCAS 2016: 16th International Conference on Control, Automation and Systems, Korea, 2016, doi: 10.1109/ICCAS.2016.7832408.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
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