Fault-tolerant control of delta operator systems with actuator saturation and effectiveness loss

Abstract

This paper studies the problem of robust fault-tolerant control against the actuator effectiveness loss for delta operator systems with actuator saturation. Ellipsoids are used to estimate the domain of attraction for the delta operator systems with actuator saturation and effectiveness loss. Some invariance set conditions used for enlarging the domain of attraction are expressed by linear matrix inequalities. Discussions on system performance optimisation are presented in this paper, including reduction on computational complexity, expansion of the domain of attraction and disturbance rejection. Two numerical examples are given to illustrate the effectiveness of the developed techniques.

Keywords:

• fault-tolerant control
• actuator saturation
• delta operator system
• disturbance rejection
• set invariance

Acknowledgements

The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper.

Additional information

Funding

This work was supported by the National Key Basic Research Program (973), China [grant number 2014CB046405]. The work of Hongjiu Yang was supported by the National Natural Science Foundation of China [grant number 61203023]; the Postdoctoral Science Foundation of China [grant number 2012M510769]; the Natural Science Foundation of Hebei Education Department [grant number Q2012060]. The work of Ling Zhao was supported partially by the Hebei Provincial Natural Science Fund [grant number E2014203122]; the Science Technology Research and Development Plan of Qinhuangdao City [grant number 201302A030].

Notes on contributors

Hongjiu Yang

Hongjiu Yang was born in Hebei Province, China, in 1981. He received the B.S. degree in mathematics and applied mathematics and the M.S. degree in applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. He received the Ph.D. 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 the B.S. degree in Information and Computing Science from Hebei University of Science and Technology, Shijiazhuang, China, in 2013. He is currently working toward the M.S. 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.

Ling Zhao

Ling Zhao was born in Hebei Province, China, in 1984. She received her B.S. degree in Automation from Southwest University, Chongqing, China in 2007. She received her Ph.D. degree in Control Science and Engineering in Beijing Institute of Technology, Beijing, China in 2012. She is currently a teacher with the college of Mechanical Engineering, Yanshan University, China. Her research interests include robust control, pneumatic system, delta operator systems, networked control systems.

Yuan Yuan

Yuan Yuan was born in Shaanxi Province, China, in 1986. He obtained his bachelor degree in EE from Beihang University, Beijing, China, in 2009. He is now a PHD candidate in the Department of Computer Science and Technology in Tsinghua University, Beijing, China. He is actively engaged in research in resilient control systems, security analysis of cyber-physical systems, delta operator systems and singularly perturbed system.