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

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53535#.VMh95yzQrzE Author(s)    Vishal Goyal * , Vinay Kumar Deolia , Tripti Nath Sharma Affiliation(s) Department of Electronics and Communication Engineering, G. L. A. University, Mathura, India . ABSTRACT 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...