Journal of Systems Engineering and Electronics ›› 2007, Vol. 18 ›› Issue (4): 852-857.

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Design of performance robustness for uncertain nonlinear time-delay systems via neural network

Luan Xiaoli & Liu Fei   

  1. Inst. of Automation, Southern Yangtze Univ., Wuxi 214122, P. R. China
  • Online:2007-12-24 Published:2010-01-03

Abstract:

Performance robustness problems via the state feedback controller are investigated for a class of uncertain nonlinear systems with time-delay in both state and control, in which the neural networks are used to model the nonlinearities. By using an appropriate uncertainty description and the linear difference inclusion technique, su±cient conditions for existence of such controller are derived based on the linear matrix inequalities (LMIs). Using solutions of LMIs, a state feedback control law is proposed to stabilize the perturbed system and guarantee an upper bound of system performance, which is applicable to arbitrary time-delays.