Robust Sliding Mode Control for Nonlinear Discrete-Time Delayed Systems Based on Neural Network

• 作者: Tripti Nath Sharma Vinay Kumar Deolia Vishal Goyal
• 来源期刊: 智能控制与自动化(英文)
• 学科: 工学
• 关键词: DISCRETE-TIME NONLINEAR Systems LYAPUNOV-KRASOVSKII Functional Linear Matrix Inequality (LMI) Sliding Mode CONTROL (SMC) CHEBYSHEV Neural Networks (CNNs)
• 年，卷（期）: 2015,（1）
• 页码范围: 75-83
• 页数: 9页
• 分类号: TP1

摘要

This paper presents a robust sliding mode controller for a class of unknown nonlinear discrete-time systems in the presence of fixed time delay. A neural-network approximation and the Lyapunov-Krasovskii functional theory into the sliding-mode technique is used and a neural-network based sliding mode control scheme is proposed. Because of the novality of Chebyshev Neural Networks (CNNs), that it requires much less computation time as compare to multi layer neural network (MLNN), is preferred to approximate the unknown system functions. By means of linear matrix inequalities, a sufficient condition is derived to ensure the asymptotic stability such that the sliding mode dynamics is restricted to the defined sliding surface. The proposed sliding mode control technique guarantees the system state trajectory to the designed sliding surface. Finally, simulation results illustrate the main characteristics and performance of the proposed approach.