Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function

ABSTRACT

This paper investigates the problem of global output feedback stabilisation for a class of uncertain nonlinear systems, where output function is time-varying and continuous, and multiple time delays exist in system state at the same time. A double-domination method is used to capture time-varying measurement error and delayed states. The control strategy is presented based on the choice of Lyapunov–Krasovskii functionals and the construction of a novel state observer without using the information on the output function and nonlinearities. A simulation example is given to show the efficiency of the proposed control scheme.

KEYWORDS:

• Time-delay nonlinear systems
• continuous output function
• double-domination approach

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Zong-Yao Sun http://orcid.org/0000-0002-2102-9588

Qinghua Meng http://orcid.org/0000-0001-7363-482X

Chih-Chiang Chen http://orcid.org/0000-0002-2254-723X

Additional information

Funding

This work was supported by National Natural Science Foundation of China [grant number 61773237], China Postdoctoral Science Foundation Funded Project [grant number 2017M610414], Shandong Province Quality Core Curriculum of Postgraduate Education [grant number SDYKC17079], Zhejiang Provincial Natural Science Foundation [grant number LY16E050003], Ministry of Science and Technology (MOST), Taiwan [grant number MOST 107-2221-E-006-231-], Taishan Scholar Project of Shandong Province of China [grant number ts201712040].

Notes on contributors

Zong-Yao Sun

Zong-Yao Sun was born in 1979. He received the M.S. and Ph.D. degrees from Qufu Normal University and Shandong University, China, in 2005 and 2009, respectively. Since 2009 he has been with the Institute of Automation, Qufu Normal University, where he is now a Professor. His current research interests include nonlinear control, adaptive control and stability theory of time-delay systems.

Di Zhang

Di Zhang is a master student at the Institute of Automation, Qufu Normal University. His current research interests include nonlinear adaptive control.

Qinghua Meng

Qinghua Meng is associate professor in mechanical engineering at the School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, China. He received his MSc degree from Shandong University of Technology, China, in 2002 and PhD degree from Zhejiang University, China, in 2005. His current research interests include electric vehicle stability control, and Mechanical fault diagnosis and signal processing. He has published over 50 papers.

Chih-Chiang Chen

Chih-Chiang Chen received the Ph.D. degree in control theory and control engineering from National Chiao Tung University (NCTU), Hsinchu, Taiwan, in 2017. From October 2015 to August 2016, he was a Visiting Ph.D. student at the Department of Electrical and Computer Engineering, University of Texas at San Antonio (UTSA), USA. From March to July 2017, he was a Post-Doctoral Research Fellow at NCTU. In the light of his significant research at NCTU and UTSA, he received the Valero Foreign Visiting Ph.D. Student Awards of The University of Texas at San Antonio, United States, 2015, the CTCI Science and Technology Research Scholarship, Taiwan, 2015, and the National Defense Industrial Development Foundation Scholarship, Taiwan, 2106. Since August 2017, Dr. Chen has been with the Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Taiwan, where he is currently an Assistant Professor. His current research interests include nonlinear control and homogeneous systems theory. He has authored or co-authored more than 33 papers in journals and conferences. He also serves as a reviewer for several international journals including Automatica, IEEE Transactions on Industrial Electronics, IEEE Transactions on Industrial Informatics, IEEE/ASME Transactions on Mechatronics, IEEE Transactions on Cybernetics, IEEE Access, Journal of The Franklin Institute, IEEE Transactions on Instrumentation and Measurement, IEEE/CAA Journal of Automatica Sinica, and International Journal of Robust and Nonlinear Control.