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Mathematical Problems in Engineering
Volume 2017, Article ID 7202584, 7 pages
Research Article

Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems

College of Information Engineering, Post-Doctor Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China

Correspondence should be addressed to Leipo Liu; moc.361@321opieluil

Received 21 July 2016; Revised 1 November 2016; Accepted 2 August 2017; Published 6 September 2017

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2017 Leipo Liu 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.


This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained. Such conditions can be converted into linear matrix inequalities (LMIs). Finally, two examples are given to show the effectiveness of the proposed method.