TITLE:
Stabilization of Unknown Nonlinear Discrete-Time Delay Systems Based on Neural Network
AUTHORS:
Vinay Kumar Deolia, Shubhi Purwar, Tripti Nath Sharma
KEYWORDS:
Discrete-Time Delay Nonlinear Systems; Lyapunov Stability; Linear Matrix Inequality (LMI)
JOURNAL NAME:
Intelligent Control and Automation,
Vol.3 No.4,
November
28,
2012
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.