Abstract
This paper investigates the problem of global output feedback regulation for a class of nonlinear systems with unknown time delay. It is also allowed to contain uncertain functions of all the states and input as long as the uncertainties satisfying certain bounded condition for the considered systems. In this paper, a constructive control technique has been proposed for controlling the systems. By using dynamic high-gain scaling approach and choosing an appropriate Lyapunov-Krasovskii functional, a delay-independent robust adaptive output feedback controller is constructed such that the states of the considered systems achieve global regulation. Two simulation examples are provided to demonstrate the effectiveness of the proposed design scheme.
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Weiyong Yu graduated from Jiangxi Normal University, China in 2008. He received his M.S. degree from Guangxi University, China in 2011. He is currently a Ph.D. candidate at Shandong University. His research interests include adaptive control, nonlinear systems and timedelay systems.
Shutang Liu received his Ph.D. degree in Control Theory and Control Engineering from South China University of Technology and City University of Hong Kong, China in 2002. From 2003 to 2005, he was doing postdoctoral research at Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China. Presently, he is a professor and doctoral supervisor at College of Control Science and Engineering, Shandong University, China. His research interests include spatial chaotic theory of nonlinear dynamical systems and its application, qualitative theory and qualitative control of complex system, control and applications of fractals and so on.
Fangfang Zhang received her M.S. degree from Beijing University of Technology, China and her Ph.D. degree from Shandong University, in 2006 and 2014, respectively. She is currently a lecture in the School of Electrical Engineering and Automation, Qilu University of Technology. Her research interests include adaptive control, chaos control and intelligent control.
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Yu, W., Liu, S. & Zhang, F. Global output feedback regulation of uncertain nonlinear systems with unknown time delay. Int. J. Control Autom. Syst. 13, 327–335 (2015). https://doi.org/10.1007/s12555-013-0480-3
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DOI: https://doi.org/10.1007/s12555-013-0480-3