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Control of a unicycle-like robot with trailers using transverse function approach

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Języki publikacji
EN
Abstrakty
EN
The paper presents the application of a smooth kinematic algorithm to control multi-body vehicle which consists of the unicyclelike tractor with three trailers. The controller takes advantage of the transverse functions and properties of the IV-order two input chained system. The derivation of the algorithm is presented in details. In order to improve the performance of the controller in the real application a selected tuning techniques are discussed. The properties of the closed-loop control system are examined based on results of numerical simulations concerning the point stabilization and trajectory tracking tasks.
Rocznik
Strony
557--579
Opis fizyczny
Bibliogr. 18 poz., rys., tab.
Twórcy
autor
  • Poznań University of Technology, Chair of Control and Systems Engineering, 3a Piotrowo St., 60-965 Poznań, Poland
Bibliografia
  • [1] G. Campion, G. Bastin, and B. D’Andrea-Novel, “Structural properties and classification of kinematic and dynamic models of wheeled mobile robots”, IEEE Trans. on Robotics andAutomation 12 (1), 47-62 (1996).
  • [2] J.-H. Lee, W. Chung, M. Kim, and J.-B. Song, “A passive multiple trailer system with off-axle hitching”, Int. J. Control,Automation, and Systems 2 (3), 289-297 (2004).
  • [3] D.A. Lizarraga, P. Morin, and C. Samson, “Chained form approximation of a driftless system. application to the exponential stabilization of the general n-trailer system”, Int. J.Control 74 (16), 1612-1629 (2001).
  • [4] R.W. Brockett, “Asymptotic stability and feedback stabilization”, in Differential Geometric Control Theory, eds. R.W. Brockett, R.S. Millman, and H.J. Sussmann, pp. 181-191, Birkh¨auser, Boston, 1983.
  • [5] J.P. Laumond, S. Sekhavat, and F. Lamiraux, “Guidelines in nonholonomic motion planning for mobile robots”, in RobotMotion Planning and Control, vol. 229, pp. 1-54, Springer- Verlag, Berlin, 1998.
  • [6] P. Morin and C. Samson, “Transverse function control of a class of non-invariant driftless systems. Application to vehicles with trailers”, Proc. 47th IEEE Conf. on Decision andControl 43, 4312-4319 (2008).
  • [7] O.J. Sordalen, “Conversion of the kinematics of a car with n trailers into a chained form”, Proc. IEEE Int. Conf. on Roboticsand Automation 1, 382-387 (1993).
  • [8] M. Vendittelli, G. Oriolo, F. Jean, and J.-P. Laumond, “Nonhomogeneous nilpotent approximations for nonholonomic systems with singularities”, IEEE Trans. on Automatic Control 49 (2), 261-266 (2004).
  • [9] H. Hermes, “Nilpotent and high-order approximations of vector field systems”, SIAM Rev. 33, 238-264 (1991).
  • [10] M. Michałek, “Application of the vfo method to set-point control for the N-trailer vehicle with off-axle hitching”, Int. J.Control 85 (5), 502-521 (2012).
  • [11] P. Morin and C. Samson, “A characterization of the lie algebra rank condition by transverse periodic functions”, SIAM J.Control Optim. 40, 1227-1249 (2001).
  • [12] P. Morin and C. Samson, “Control of nonholonomic mobile robots based on the transverse function approach”, IEEE Trans.on Robotics 25 (5), 1058-1073 (2009).
  • [13] P. Morin and C. Samson, “Practical stabilization of driftless systems on Lie groups: the transverse function approach”, IEEE Trans. on Automatic Control 48 (9), 1496-1508 (2003).
  • [14] G. Artus, P. Morin, and C. Samson, “Tracking of an omnidirectional target with a unicycle-like robot: control design and experimental results”, Research Report INRIA 4849, INRIA, 2003.
  • [15] D. Pazderski and K. Kozłowski, “Practical stabilization of two-wheel mobile robot with velocity limitations using timevarying control law”, Proc. Fifth International Workshop onRobot Motion and Control 1, 205-212 (2005).
  • [16] P. Morin and C. Samson, “Practical and asymptotic stabilization of the 3-D chained system by the transverse function approach”, Proc. 42nd IEEE Conf. on Decision and Control 5, 4700-4704 (2003).
  • [17] K. Kozłowski, J. Majchrzak, M. Michałek, and D. Pazderski, “Posture stabilization of a unicycle mobile robot - two control approaches”, in Robot Motion Control, vol. 335, pp. 25-54, Springer, Berlin, 2006.
  • [18] D. Waśkowicz, “Control of a unicycle with two trailers using transverse functions”, Master’s Thesis, Poznań University of Technology, Poznań, 2011, (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0096-0018
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