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Journal of Control Science and Engineering
Volume 2015, Article ID 308681, 10 pages
Research Article

Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach

1College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China
2College of Mathematics, Qingdao University, Qingdao 266071, China
3School of Mathematical Sciences & College of Physical and Environmental Oceanography, Ocean University of China, Qingdao 266100, China
4Institute of Information and Systems Engineering, Henan University of Economics and Law, Zhengzhou 450002, China

Received 20 December 2014; Revised 29 April 2015; Accepted 30 April 2015

Academic Editor: Onur Toker

Copyright © 2015 Ruiping Xu 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 problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result.