Journal of Applied Mathematics
Volume 2013 (2013), Article ID 357531, 11 pages
Research Article

Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems

1Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China
2Department of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, China
3Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China

Received 26 December 2012; Revised 28 February 2013; Accepted 14 March 2013

Academic Editor: Hak-Keung Lam

Copyright © 2013 Heli Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory, the existence conditions for the designed sliding surface and the stability bound are derived via twice transformations. The further results are to develop an efficient sliding mode control law with tuned parameters to attract the state trajectories onto the sliding surface in finite time and remain there for all the subsequent time. Finally, some comparisons are made to show the advantages of our proposed method.