Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays
Automation, Control and Intelligent Systems
Volume 6, Issue 1, February 2018, Pages: 8-19
Received: Dec. 26, 2017; Accepted: Jan. 25, 2018; Published: Apr. 2, 2018
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Authors
Wei Zheng, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
Hongbin Wang, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
Zhiming Zhang, China National Heavy Machinery Research Institute, Xi'an, China
Pengheng Yin, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
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Abstract
This paper addresses the adaptive dynamic output-feedback control problem for a class of nonlinear discrete-time systems with multiple time-varying delays. First, the guaranteed cost function is introduced for the nonlinear system to reduce the effect of the time-varying delays. Secondly, in order to deal with the multiple time-varying delays, the nonlinear system is decomposed into two subsystems. Then the compensator is designed for the first subsystem, and the adaptive dynamic output-feedback controller is constructed based on the subsystems. By introducing the new discrete Lyapunov-Krasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. Finally, the simulations are performed to show the effectiveness of the proposed methods.
Keywords
Multiple Time-Varying Delays, Parametric Uncertainties, Dynamic Output Feedback Control, Lyapunov-Krasovskii Functional
To cite this article
Wei Zheng, Hongbin Wang, Zhiming Zhang, Pengheng Yin, Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays, Automation, Control and Intelligent Systems. Vol. 6, No. 1, 2018, pp. 8-19. doi: 10.11648/j.acis.20180601.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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