Discrete-Time Sliding-Mode Control Based on Neural Networks

  • José de Jesús Rubio
  • Wen Yu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3972)


In this paper, we present a new sliding mode controller for a class of unknown nonlinear discrete-time systems. We make the following two modifications: 1) The neural identifier which is used to estimate the unknown nonlinear system, applies new learning algorithms. The stability and non-zero properties are proved by dead-zone and projection technique. 2) We propose a new sliding surface and give a necessary condition to assure exponential decrease of the sliding surface. The time-varying gain in the sliding mode produces a low-chattering control signal. The closed-loop system with sliding mode controller and neural identifier is proved to be stable by Lyapunov method.


Slide Mode Control Multilayer Neural Network Variable Structure Sliding Mode Control Unknown Nonlinear System Equivalent Controller 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • José de Jesús Rubio
    • 1
  • Wen Yu
    • 1
  1. 1.Departamento de Control AutomáticoCINVESTAV-IPNMéxico D.F.México

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