A Stable Lyapunov Approach of Advanced Sliding Mode Control for Swing up and Robust Balancing Implementation for the Pendubot System

This paper investigates the two-link Pendubot with one active joint at shoulder. The modified sliding mode controller for swinging up the Pendubot to the upright position and for robust balancing it at upright position. As to improve the performance, a novel advanced sliding mode controller is developed for robust balancing the Pendubot system at upright position. Simulation results have proved that the proposed sliding mode swinging up and balancing controller are successful techniques for robust balancing the Pendubot system at the upright position. They are strongly robust and tolerate noise and external disturbance. The proposed advanced sliding mode controller improves the robustness, reduces the chattering and the hitting time of sliding surface as well.

[1]  Anton S. Shiriaev,et al.  Partial stabilization of underactuated Euler-Lagrange systems via a class of feedback transformations , 2002, Syst. Control. Lett..

[2]  Ranjan Mukherjee,et al.  Swing-Up Control of the Pendubot: An Impulse–Momentum Approach , 2009, IEEE Transactions on Robotics.

[3]  Jianqiang Yi,et al.  Hierarchical Sliding Mode Control to Swing up a Pendubot , 2007, 2007 American Control Conference.

[4]  R. Johansson,et al.  Periodic motions of the Pendubot via virtual holonomic constraints: Theory and experiments , 2008, Autom..

[5]  Mark W. Spong,et al.  The Pendubot: a mechatronic system for control research and education , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[6]  Raja Mohd Taufika Raja Ismail,et al.  Observer-based trajectory tracking for a class of underactuated Lagrangian systems using higher-order sliding modes , 2012, 2012 IEEE International Conference on Automation Science and Engineering (CASE).

[7]  V. Utkin Variable structure systems with sliding modes , 1977 .

[8]  Wei Li,et al.  Acrobatic control of a pendubot , 2004, IEEE Transactions on Fuzzy Systems.

[9]  Rogelio Lozano,et al.  Energy based control of the Pendubot , 2000, IEEE Trans. Autom. Control..

[10]  Nguyen Ngoc Son,et al.  Swing Up and Balancing Implementation for the Pendubot Using Advanced Sliding Mode Control , 2015 .

[11]  Mingjun Zhang,et al.  Hybrid control of the Pendubot , 2002 .

[12]  L. Acho,et al.  Model Orbit Robust Stabilization (MORS) of Pendubot with Application to Swing up Control , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.