This paper is concerned with the problem of sliding mode control (SMC) for a class of neutral delay systems with unknown nonlinear uncertainties that may not satisfy the norm-bounded condition. A SMC scheme based on neural-network approximation is proposed for the uncertain neutral delay system. By means of linear matrix inequality (LMI) approach, a sufficient condition is given such that the resultant closed-loop system is guaranteed to be stable, and the states asymptotically converge to zero. When the LMI is feasible, the designs of both the sliding surface and the sliding mode control law can be easily obtained via convex optimization. It is shown that the state trajectories are driven toward the specified sliding surface that depends on the current states as well as the delayed states. Finally, a simulation result is given to illustrate the effectiveness of the proposed method.
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November 2008
Research Papers
Neural Adaptive Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems
Yugang Niu,
Yugang Niu
School of Information Science and Engineering,
East China University of Science and Technology
, Shanghai 200237, PRC
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James Lam,
James Lam
Department of Mechanical Engineering,
University of Hong Kong
, Pokfulam Road, Hong Kong
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Xingyu Wang,
Xingyu Wang
School of Information Science and Engineering,
East China University of Science and Technology
, Shanghai 200237, PRC
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Daniel W. C. Ho
Daniel W. C. Ho
Department of Mathematics,
City University of Hong Kong
, Tat Chee Avenue, Hong Kong
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Yugang Niu
School of Information Science and Engineering,
East China University of Science and Technology
, Shanghai 200237, PRC
James Lam
Department of Mechanical Engineering,
University of Hong Kong
, Pokfulam Road, Hong Kong
Xingyu Wang
School of Information Science and Engineering,
East China University of Science and Technology
, Shanghai 200237, PRC
Daniel W. C. Ho
Department of Mathematics,
City University of Hong Kong
, Tat Chee Avenue, Hong KongJ. Dyn. Sys., Meas., Control. Nov 2008, 130(6): 061011 (7 pages)
Published Online: October 10, 2008
Article history
Received:
July 7, 2005
Revised:
May 20, 2008
Published:
October 10, 2008
Citation
Niu, Y., Lam, J., Wang, X., and Ho, D. W. C. (October 10, 2008). "Neural Adaptive Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems." ASME. J. Dyn. Sys., Meas., Control. November 2008; 130(6): 061011. https://doi.org/10.1115/1.2977462
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