Author(s)

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.

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.

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

V. Deolia, S. Purwar and T. Sharma, "Stabilization of Unknown Nonlinear Discrete-Time Delay Systems Based on Neural Network," Intelligent Control and Automation, Vol. 3 No. 4, 2012, pp. 337-345. doi: 10.4236/ica.2012.34039.