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ABSTRACT
In this paper, the problem of estimating the domain of attraction is considered for delta operator systems subject to nested actuator saturation. A set invariance condition is established for the delta operator system with nested actuator saturation in terms of auxiliary feedback matrices. Based on the set invariance condition, an optimisation approach is proposed to estimate the domain of attraction for the delta operator system. Thereby, the partial results of nested actuator saturation for both continuous-time systems and discrete-time systems are extended to delta operator system framework. A numerical example is provided to illustrate the effectiveness of the proposed design techniques.
Acknowledgements
The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
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Notes on contributors
Peng Shi
Peng Shi received his BSc degree from Harbin Institute of Technology, ME degree from Harbin Engineering University, China, PhD degree in electrical engineering from the University of Newcastle, Australia, and PhD degree in mathematics from the University of South Australia, Australia. He was awarded the Doctor of Science degree by the University of Glamorgan, UK in 2006, and the Doctor of Engineering degree by the University of Adelaide, Australia in 2015. He is now a professor in the University of Adelaide and Victoria University, Australia. He was a professor in the University of Glamorgan, UK, and a senior scientist in the Defence Science and Technology Organisation, Australia. His research interests include system and control theory, computational and intelligent systems, and operational research. He has actively served in the editorial board of a number of journals, including Automatica, IEEE Transactions on Automatic Control, IEEE Transactions on Cybernetics, IEEE Transactions on Fuzzy Systems, IEEE Transactions on Circuits and Systems, and IEEE Access. He was the chair of Control Aerospace and Electronic Systems Chapter, IEEE South Australia Section, and is now a College of Expert member, Australian Research Council. He is a fellow of the Institute of Electrical and Electronic Engineers, the Institution of Engineering and Technology; and the Institute of Mathematics and its Applications.
Hongjiu Yang
Hongjiu Yang was born in Hebei Province, China, in 1981. He received his BS degree in mathematics and applied mathematics and MS degree in applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. He received his PhD degree in control science and engineering in Beijing Institute of Technology, Beijing, China. He is currently an associate professor with the Department of Automation, Institute of Electrical Engineering, Yanshan University, China. His main research interests include robust control/filter theory, delta operator systems, networked control systems, and active disturbance rejection control.
Luyang Zhang
Luyang Zhang was born in Hebei Province, China, in 1990. He received his BS degree in information and computing science from Hebei University of Science and Technology, Shijiazhuang, China, in 2013. He is currently working toward the MS degree at the Department of Electrical Engineering, Yanshan University. His main research interests include robust control, actuator saturation, delta operator systems, and networked control systems.