Synthesis of the sliding-mode neural network controller for unknown nonlinear discrete-time systems

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Original languageEnglish
Pages (from-to)401-408
Journal / PublicationInternational Journal of Systems Science
Issue number3
Publication statusPublished - Mar 2000


This paper develops a sliding-mode neural network controller for a class of unknown nonlinear discrete-time systems using a recurrent neural network (RNN). The control scheme is based on a linearized expression of the nonlinear system using a linear neural network (LNN). The control law is proposed according to the discrete Lyapunov theory. With a modified real-time recurrent learning algorithm, the RNN as an estimator is used to estimate the unknown part in the control law in on-line fashion. The stability of the control system is guaranteed owing to the on-line learning ability of the RNN algorithm. The proposed control scheme is applied to numerical problems and simulation results that it is very effective.