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

• 作者: Shubhi Purwar Tripti Nath Sharma Vinay Kumar Deolia
• 来源期刊: 智能控制与自动化(英文)
• 学科: 工学
• 关键词: DISCRETE-TIME Delay NONLINEAR Systems LYAPUNOV Stability Linear Matrix INEQUALITY (LMI)
• 年，卷（期）: 2012,（4）
• 页码范围: 337-345
• 页数: 9页
• 分类号: TP1

摘要

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.