Stabilization of Unknown Nonlinear Discrete-Time Delay Systems Based on Neural Network

Vinay Kumar Deolia, Shubhi Purwar, Tripti Nath Sharma

Department of Electrical Engineering, Motilal Nehru National Institute of Technology (MNNIT), Allahabad, India.
Department of Electronics & Communications Engineering, G. L. A. University, Mathura, India.

DOI: 10.4236/ica.2012.34039                

Abstract

This paper discusses about the stabilization of unknown nonlinear discrete-time fixed state delay systems. The unknown system nonlinearity is approximated by Chebyshev neural network (CNN), and weight update law is presented for approximating the system nonlinearity. Using appropriate Lyapunov-Krasovskii functional the stability of the nonlinear system is ensured by the solution of linear matrix inequalities. Finally, a relevant example is given to illustrate the effectiveness of the proposed control scheme.

Keywords

Discrete-Time Delay Nonlinear Systems; Lyapunov Stability; Linear Matrix Inequality (LMI)

Conflicts of Interest

The authors declare no conflicts of interest.

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