Controlling the inverted pendulum by means of a nested saturation function

作者: Carlos Aguilar Ibañez , O. Gutiérrez Frias

DOI: 10.1007/S11071-007-9224-3

关键词:

摘要: A nonlinear controller is presented for the stabilization of underactuated inverted pendulum mounted on a cart. The fact that this system can be expressed as chain integrators, with an additionally perturbation, allows us to use nested saturation control technique bring top position, zero displacement obtained closed-loop semiglobal, asymptotically stable, and locally exponentially under assumption position angle initialized above upper half plane.

参考文章(19)
Mark W. Spong, Energy Based Control of a Class of Underactuated Mechanical Systems IFAC Proceedings Volumes. ,vol. 29, pp. 2828- 2832 ,(1996) , 10.1016/S1474-6670(17)58105-7
Mark W. Spong, Laurent Praly, Control of underactuated mechanical systems using switching and saturation Springer, Berlin, Heidelberg. pp. 162- 172 ,(1997) , 10.1007/BFB0036093
I. Fantoni, R. Lozano, Global stabilization of the cart-pendulum system using saturation functions conference on decision and control. ,vol. 5, pp. 4393- 4398 ,(2003) , 10.1109/CDC.2003.1272193
R. Lozano, D. Dimogianopoulos, Stabilization of a chain of integrators with nonlinear perturbations: application to the inverted pendulum conference on decision and control. ,vol. 5, pp. 5191- 5196 ,(2003) , 10.1109/CDC.2003.1272461
ALEXANDER L. FRADKOV, Swinging control of nonlinear oscillations International Journal of Control. ,vol. 64, pp. 1189- 1202 ,(1996) , 10.1080/00207179608921682
Chung Choo Chung, John Hauser, Nonlinear control of a swinging pendulum Automatica. ,vol. 31, pp. 851- 862 ,(1995) , 10.1016/0005-1098(94)00148-C
K Furuta, M Yamakita, S Kobayashi, Swing-up Control of Inverted Pendulum Using Pseudo-State Feedback: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. ,vol. 206, pp. 263- 269 ,(1992) , 10.1243/PIME_PROC_1992_206_341_02
Rogelio Lozano, Isabelle Fantoni, Dan J. Block, Stabilization of the inverted pendulum around its homoclinic orbit Systems & Control Letters. ,vol. 40, pp. 197- 204 ,(2000) , 10.1016/S0167-6911(00)00025-6
K.J. Åström, K. Furuta, Brief Swinging up a pendulum by energy control Automatica. ,vol. 36, pp. 287- 295 ,(2000) , 10.1016/S0005-1098(99)00140-5