Abstract
This paper studies the robust control problem for time-delay systems with complicated inherent nonlinearities and unknown disturbances. Based on the modified homogeneous domination method and by constructing the proper Lyapunov-Krasovskii (L-K) functional, output feedback controllers are successfully constructed to guarantee the boundedness of all the states of the closed-loop system. The convergence of the states is also realizable when the L2 norm of the disturbance exists. The presented method is also extended to solve the control problem of nonholonomic time-delay system. Simulation examples are given to show the effectiveness of the proposed theory.
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Recommended by Editor Jessie (Ju H.) Park. This work is supported by National Natural Science Foundation of China (Nos. 61603231,61673243, 61533008).
Kang Wu received the B.S. degree in Electrical Engineering from Kwangwoon University, Korea, in 2013 and M.S degree form Newcastle University, United Kingdom, in 2014. He is currently a Ph.D student in the Department of Automation, Southeast University, China. His research interests include nonlinear system control and disturbance rejection control.
Zhen-Guo Liu received the M.S. degree from Qufu Normal University in 2012 and the Ph.D. degree from Southeast University, China, in 2015. He is currently a lecturer in the Department of Automation, Shanxi University. His research interest covers nonlinear system control, stability theory of time-delay systems and nonholonomic system control.
Chang-Yin Sun is a professor in School of Automation at the Southeast University, China. He received the M.S. and Ph.D. degrees in Electrical Engineering from the Southeast University, Nanjing, China, respectively, in 2001 and 2003. His research interests include intelligent control, neural networks, SVM, pattern recognition, optimal theory, etc.
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Wu, K., Liu, ZG. & Sun, CY. Robust Control for a Class of Time-delay Nonlinear Systems via Output Feedback Strategy. Int. J. Control Autom. Syst. 16, 1091–1102 (2018). https://doi.org/10.1007/s12555-017-0385-7
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DOI: https://doi.org/10.1007/s12555-017-0385-7