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Hierarchical sliding mode control for a class of SIMO under-actuated systems

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Języki publikacji
EN
Abstrakty
EN
A hierarchical sliding mode control approach is proposed for a class of SIMO under-actuated systems. This class of under-actuated systems is made up of several subsystems. Based on this physical structure, the hierarchical structure of the sliding surfaces is designed as follows. At first, the sliding surface of every subsystem is defined. Then the sliding surface of one subsystem is defined as the first layer sliding surface. The first layer sliding surface is used to construct the second layer sliding surface with the sliding surface of another subsystem. This process continues till the sliding surfaces of the entire subsystems are included. According to the hierarchical structure, the total control law is deduced by the Lyapunov theorem. In theory, the asymptotic stability of the entire system of sliding surfaces is proven and the parameter boundaries of the subsystem sliding surfaces are given. Simulation results show the feasibility of this control method through two typical SIMO under-actuated systems.
Rocznik
Strony
159--175
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
autor
  • Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, P.R. China, dianwei.qian@ia.ac.cn
Bibliografia
  • ALLEYNE. A. (1998) Physical insights on passivity-based TORA control designs. IEEE Transactions on Control Systems Technology 6, 436-439.
  • BARTOSZEWICZ, A. (2000) Chattering attenuation in sliding mode control systems. Control and Cybernetics 29, 585-594.
  • FANG, Y.. DIXON, W.E.. DAWSON, D.M. and ZERGEROGLU, E. (2003) Nonlinear coupling control laws for an underactuated overhead crane system. IEEE/ASME Transactions on Mechatronics 8, 418-423.
  • FANTONI. I., LOZANO, R. and SPONG, M.W. (2000) Energy based control of the pendubot. IEEE Transactions on Automatic Control 45, 725-729.
  • GAO, W. and HUNG, J.C. (1993) Variable structure control of nonlinear systems: a new approach. IEEE Transactions on Industrial Electronics 40, 45-55.
  • JUNG, S. and WEN, J.T. (2004) Nonlinear model predictive control for the swing-up of a rotary inverted pendulum. ASME Journal of Dynamic Systems, Measurement and Control 120, 666-673.
  • LAI, X., SHE, J.H., OHYAMA, Y. and CAI, Z. (1999) Fuzzy control strategy for acrobots combining model-free and model-based control. IEE Proceedings - Control Theory and Applications 146, 505-510.
  • LIN, C.M. and MON, Y.J. (2005) Decoupling control by hierarchical fuzzy sSliding mode controller. IEEE Transactions on Control Systems Technology 13, 593-598.
  • LIU, D., YI, J., ZHAO, D. and WANG, W. (2005) Adaptive sliding mode fuzzy control for a two-dimensional overhead crane. Mechatronics 15 505-522.
  • LO, J.C. and KUO, Y.H. (1998) Decoupled fuzzy sliding-mode control. IEEE Transactions on Fuzzy Systems 6, 426-435.
  • MON, Y.J. and LIN C.M. (2002) Hierarchical fuzzy sliding-mode control. Proceedings of 2002 IEEE International Conference on Fuzzy Systems 1, 656-661.
  • ORTEGA, R., SPONG, M.W., GOMEZESTERN, F. and BLANHENSTEIN, G. (2002) Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Transactions on Automatic Control 47, 1218-1233.
  • RUBI, J., RUBIO, A. and AVELLO, A. (2002) Swing-up control problem for a self-erecting double inverted pendulum. IEE Proceedings - Control Theory and Applications 149, 169-175.
  • SPONG, M.W. (1998) Underactuated Mechanical Systems. Lecture Notes in Control and Information Sciences 230, 135-150.
  • SPONG, M.W. (1995) The swing up control problem for the acrobot. IEEE Control Systems Magazine 15, 49-55.
  • WANG, W., YI, J., ZHAO, D. and LIU, D. (2004) Design of a stable sliding-mode controller for a class of second-order underactuated systems. IEE Proceedings - Control Theory and Applications 151, 683-690.
  • XIN, X. and KANEDA, M. (2004) New Analytical Results of the Energy Based Swinging up Control of the Acrobot. Proceedings of the 43rd IEEE Conference on Decision and Control, 1, 704-709.
  • YI, J., YUBAZAKI, N. and HIROTA, K. (2002) A new fuzzy controller for stabilization of parallelt-type double inverted pendulum system. Fuzzy Sets and Systems 126, 105-119.
  • YI, J., WANG, W., ZHAO, D. and LIU, X. (2005) Cascade sliding-mode controller for large-scale underactuated systems. Proceedings of 2005 IEEE-RSJ International Conference on Intelligent Robots and Systems, 301-306.
  • ZHANG, M. and TARN, T.J. (2002) Hybrid control of the pendubot. IEEE-ASME Transactions on Mechatronics 7, 79-86.
  • ZHANG, M. and TARN, T.J. (2003) Hybrid switching control strategy for nonlinear and underactuated mechanical systems. IEEE Transactions on Automatic Control 48, 1777-1782.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0027-0011
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