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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 6427807, 11 pages
https://doi.org/10.1155/2017/6427807
Research Article

Dynamic Output Feedback Compensation Control for Discrete Closed-Loop Nonlinear System with Multiple Time-Delays

1Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
2Liren Institute, Yanshan University, Qinhuangdao 066000, China
3China National Heavy Machinery Research Institute, Xi’an 710000, China

Correspondence should be addressed to Wei Zheng; ten.haey@ngnimgnod

Received 27 March 2017; Revised 13 June 2017; Accepted 2 July 2017; Published 9 August 2017

Academic Editor: Asier Ibeas

Copyright © 2017 Wei Zheng 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.

Abstract

This paper addresses the dynamic output feedback control problem for a class of discrete system with uncertainties and multiple time-delays. First, the system is decomposed into two subsystems based on the output matrix and input control matrix. Secondly, a dynamic compensator is employed for the first subsystem, and then, given the multiple uncertainties, the output feedback controller is designed based on the second subsystem and the dynamic compensator. Thirdly, by choosing the Lyapunov-Krasovskii function, it can be seen that the developed controller makes the closed-loop system convergent to an adjustable region, which can be rendered arbitrary small by adjusting design parameters. Compared with the previous researches, the proposed controller is not only smooth and memoryless, but also only dependent on the system output. Furthermore, with the given dynamic compensator, the controller design conditions are relaxed, while the approach is extended to the conventional nonlinear system. Finally, numerical example is given to illustrate the effectiveness of the theoretical results.