Journal of Systems Engineering and Electronics ›› 2012, Vol. 23 ›› Issue (1): 108-118.doi: 10.1109/JSEE.2012.00014

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Disturbance observer based time-varying sliding mode control for uncertain mechanical system

Binglong Cong1,2, Xiangdong Liu1,2, and Zhen Chen1,2,*   

  1. 1. School of Automation, Beijing Institute of Technology, Beijing 100081, P. R. China;
    2. Key Laboratory for Intelligent Control & Decision on Complex Systems, Beijing Institute of Technology, Beijing 100081, P. R. China
  • Online:2012-02-25 Published:2010-01-03


It is now well known that the time-varying sliding mode control (TVSMC) is characterized by its global robustness against matched model uncertainties and disturbances. The accurate tracking problem of the mechanical system in the presence of the parametric uncertainty and external disturbance is addressed in the TVSMC framework. Firstly, an exponential TVSMC algorithm is designed and the main features are analyzed. Especially, the control parameter is obtained by solving an optimal problem. Subsequently, the global chattering problem in TVSMC is considered. To reduce the static error resulting from the continuous TVSMC algorithm, a disturbance observer based time-varying sliding mode control (DOTVSMC) algorithm is presented. The detailed design principle and the stability of the closed-loop system under the composite controller are provided. Simulation results verify the effectiveness of the proposed algorithm.