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SDRE applied to position and vibration control of a robot manipulator with a flexible link

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents position and vibration control of a flexible robot composed of two rigid and one flexible links. Position is controlled by the current applied to the DC motor armature. To control vibrations of the flexible structure, Shape Memory Alloys (SMA) are used. Due to phase transformations, the SMA can change its stiffness through temperature variation, considering and taking advantage of this characteristic the vibration control is done. Control is achieved via the State Dependent Ricatti Equations (SDRE) technique, which uses suboptimal control and system local stability search. The simulation results show the feasibility of the proposed control for the considered system.
Rocznik
Strony
1067--1078
Opis fizyczny
Bibliogr. 31 poz., rys., tab.
Twórcy
autor
  • UTFPR, Ponta Grossa, PR, Brazil
autor
  • UTFPR, Ponta Grossa, PR, Brazil
autor
  • UTFPR, Ponta Grossa, PR, Brazil
  • UTFPR, Ponta Grossa, PR, Brazil
  • UTFPR, Ponta Grossa, PR, Brazil
  • UNESP, Bauru, SP, Brazil
  • UFABC, Santo Andre, SP, Brazil
Bibliografia
  • 1. Balthazar J.M., Bassinello D.G., Tusset A.M., Bueno A.M., Pontes B.R., 2014, Nonlinear control in an electromechanical transducer with chaotic behavior, Meccanica, 49, 8, 1859-1867, doi: 10.1007/s11012-014-9910-4
  • 2. Banks H.T., Smith R.C., Wang Y., 1996, Smart Material Structures: Modeling, Estimation and Control, John Wiley & Sons, Paris
  • 3. Bottega V., Pergher R., Fonseca J.S.O., 2009, Simultaneous control and piezoelectric insert optimization for manipulators with flexible link, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 31, 2, 105-116, doi: 10.1590/S1678-58782009000200003
  • 4. Falk F., 1980, Model free energy, mechanics, and thermodynamics of shape memory alloys, Acta Metallurgica, 28, 12, 1773-1780, doi: 10.1016/0001-6160(80)90030-9
  • 5. Falk F., 1983, One dimensional model of shape memory alloys, Archives of Mechanics, 35, 1, 63-84.
  • 6. Fenili A., Balthazar J.M., 2011, The rigid-flexible nonlinear robotic manipulator: modeling and control, Communications in Nonlinear Science and Numerical Simulation, 16, 5, 2332-2341, doi: 10.1016/j.cnsns.2010.04.057
  • 7. Gabbert U., Schulz I., 1996, Optimal placement of piezoelectric actuators in vibration control of adaptative structures, Proceedings of ASME International Mechanical Engineering Congress and Exposition, 271-277
  • 8. Ge S.S., Tee K.P., Vahhi I.E., Tay F.E.H., 2006, Tracking and vibration control of flexible robots using shape memory alloys, IEEE/ASME Transactions on Mechatronics, 11, 690-698, doi: 10.1109/TMECH.2006.886242
  • 9. Grandinetti F.J., Soares A.M.S., Lamas W.Q., Goes L.C.S., 2012, Notes on vibration control of a micro/macromanipulator mounted on a flexible structure, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics March, 226, 1, 72-82, doi: 10.1177/1464419311424090
  • 10. Halim D., Luo X., Trivailo P.M., 2014, Decentralized vibration control of a multi-link-flexible robotic manipulator using smart piezoelectric transducers, Acta Astronautica, 104, 186-196, doi: 10.1016/j.actaastro.2014.07.016
  • 11. Heidari H.R., Korayem M.H., Haghpanahi M., Batlle V.F., 2013, Optimal trajectory planning for flexible link manipulators with large deflection using a new displacements approach, Journal of Intelligent and Robotic Systems, 72, 3/4, 287-300, doi: 10.1007/s10846-012-9807-1
  • 12. Innocenti M., Baralli F., Salotti F., Caiti A., 2000, Manipulator path control using SDRE, American Control Conference, 5, 3348-3352, doi: 10.1109/ACC.2000.879186
  • 13. Janzen F.C., Tusset A.M., Piccirillio V., Balthazar J.M., Silveira M., Pontes Junior B.R., 2014, Control of slewing motions of flexible structures using shape memory alloy actuators, Proceedings of ASME International Mechanical Engineering Congress and Exposition, 1-7
  • 14. Jnifene A., 2007, Active vibration control of flexible structures using delayed position feedback, Systems and Control Letters, 56, 3, 215-222, doi: 10.1016/j.sysconle.2006.10.005
  • 15. Kalyoncu M., 2008, Mathematical modelling and dynamic response of a multistraight-line path tracing flexible robot manipulator with rotating-prismatic joint, Applied Mathematical Modelling, 32, 1087-1098, doi: 10.1016/j.apm.2012.10.042
  • 16. Korayem M.H., Irani M., Nekoo S.R., 2010, Analysis of manipulators using SDRE: a closed loop nonlinear optimal control approach, Scientia Iranica, Transaction B: Mechanical Engineering, 17, 6, 456-467
  • 17. Korayem M., Irani M., Nekoo S.R., 2011, Load maximization of flexible joint mechanical manipulator using nonlinear optimal controller, Acta Astronautica, 69, 7, 458-469, doi: 10.1016/j.actaastro.2011.05.023
  • 18. Korayem M.H., Nekoo S.R., 2014, Nonlinear optimal control via finite time horizon statedependent Riccati equation, International Conference on Robotics and Mechatronics, 878-883, doi: 10.1109/ICRoM.2014.6991015
  • 19. Korayem M.H., Nekoo S.R., 2015a, State-dependent differential Riccati equation to track control of time-varying systems with state and control nonlinearities, ISA Transactions, 57, 117-135, doi: 10.1016/j.isatra.2015.02.008
  • 20. Korayem M.H., Nekoo S.R., 2015b, Finite-time state-dependent Riccati equation for timevarying nonaffine systems: rigid and flexible joint manipulator control, ISA Transactions, 54, 125-144, doi:10.1016/j.isatra.2014.06.006
  • 21. Lima J.J., Tusset A.M., Janzen F.C., Piccirillo V., Nascimento C.B., Balthazar J.M., Brasil M.R.L.F., 2014, Nonlinear state estimation and control applied to a manipulator robotic including drive motor, Mathematics in Engineering, Science and Aerospace: the Transdisciplinary International Journal, 5, 413-425
  • 22. Mracek P.C., Cloutier J.R., 1998, Control designs for the nonlinear benchmark problem via the state-dependent Riccati equation method, International Journal of Robust and Nonlinear Control, 8, 401-433
  • 23. Molter A., Silveira O.A.A., Fonseca J.S.O., Bottega V., 2010, Simultaneous piezoelectric actuator and sensor placement optimization and control design of manipulators with flexible links using SDRE method, Mathematical Problems in Engineering, 1-23, doi: 10.1155/2010/362437
  • 24. Nekoo S.R., 2013, Nonlinear closed loop optimal control: a modified state-dependent Riccati equation, ISA Transactions, 52, 2, 285-290, doi:10.1016/j.isatra.2012.10.005
  • 25. Pereira E., Trapero J.R., Dıaz I.M., Feliu V., 2012, Adaptive input shaping for single-link flexible manipulators using an algebraic identification, Control Engineering Practice, 20, 138-147, doi: 10.1016/j.conengprac.2011.10.004
  • 26. Piccirillo V., Balthazar J.M., Pontes Jr. B.R., Felix J.L.P., 2008, On a nonlinear and chaotic non-ideal vibrating system with Shape Memory Alloy (SMA), Journal of Theoretical and Applied Mechanics (Poland), 46, 597-620
  • 27. Piccirillo V., Balthazar J.M., Pontes Jr. B.R., Felix J.L.P., 2009, Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control. Part II: Non-ideal energy source, Nonlinear Dynamics, 56, 3, 243-253, doi: 10.1007/s11071-008-9396-5
  • 28. Savi M.A., Pacheco P.M.C.L., Braga A.M.B., 2002, Chaos in a shape memory two-bars truss, International Journal of Non-Linear Mechanics, 37, 1387-1395
  • 29. Sawada H., Ui K., Mori M., Yamamoto H., Hayashi R., Matunaga S., Ohkami Y., 2004, Micro-gravity experiment of a space robotic arm using parabolic flight, Advanced Robotics, 18, 3, 247-267, doi: 10.1163/156855304322972431
  • 30. Shawky A., Zydek D., Elhalwagy Y.Z., Ordys A., 2013, Modeling and nonlinear control of a flexible-link manipulator, Applied Mathematical Modelling, 37, 9591-9602, doi:10.1016/j.apm.2013.05.003
  • 31. Xin M., Balakrishnan S.N., Huang Z., 2001, Robust state dependent Riccati equation based robot manipulator control, International Conference on Control Applications, 3, 369-374, doi:10.1109/CCA.2001.973893
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d2703bed-3d5b-40c1-9012-cbc8c5e2dbe9
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