Journal of Systems Engineering and Electronics ›› 2013, Vol. 24 ›› Issue (6): 1003-1010.doi: 10.1109/JSEE.2013.00117

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

FBFN-based adaptive repetitive control of nonlinearly parameterized systems

Wenli Sun1, Hong Cai1, and Fu Zhao2,*   

  1. 1. School of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    2. Beijing Aerospace Control Device Institute, Beijing 100039, China
  • Online:2013-12-24 Published:2010-01-03


An adaptive repetitive control scheme is presented for a class of nonlinearly parameterized systems based on the fuzzy basis function network (FBFN). The parameters of the fuzzy rules are tuned with adaptive schemes. To attenuate chattering effectively, the discontinuous control term is approximated by an adaptive PI control structure. The bound of the discontinuous control term is assumed to be unknown and estimated by an adaptive mechanism. Based on the Lyapunov stability theory, an adaptive repetitive control law is proposed to guarantee the closed-loop stability and the tracking performance. By means of FBFNs, which avoid the nonlinear parameterization from entering into the adaptive repetitive control, the controller singularity problem is solved. The proposed approach does not require an exact structure of the system dynamics, and the proposed controller is utilized to control a model of permanent-magnet linear synchronous motor subject to significant disturbances and parameter uncertainties. The simulation results demonstrate the effectiveness of the proposed method.