Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems

ABSTRACT

Under the weaker conditions on the drift and diffusion terms, this paper focuses on the global decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems. By introducing an appropriate coordinate transformation, the original system is transformed into an equivalent one with tunable gain. After that, by reasonably combing the homogeneous domination approach with stochastic nonlinear systems stability criterion, and skillfully choosing the low gain scale, the decentralised output-feedback controller is constructed for each subsystem to ensure that the closed-loop system is globally asymptotically stable in probability. The simulation example is given to demonstrate the effectiveness of the proposed design scheme.

KEYWORDS:

• Stochastic high-order upper-triangular nonlinear systems
• decentralised output-feedback
• homogeneous domination approach
• globally asymptotically stable in probability

Acknowledgments

The authors would like to express sincere gratitude to the Editor and Reviewers for their helpful comments and suggestions in improving the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant number 61403041]; the Program for Liaoning Excellent Talents in University [grant number LJQ2015001]; the China Postdoctoral Science Foundation [grant number 2015M580435]; the Special China Postdoctoral Science Foundation [grant number 2016T90462].

Notes on contributors

Liang Liu

Liang Liu was born in Zaozhuang, Shandong Province, China, in 1985. He received his B.S. degree from Weifang University in 2007, and his M.S. and Ph.D. degree from Qufu Normal University in 2010 and 2013, respectively. Since 2013, he joined the College of Engineering, Bohai University, where he is currently an associate professor. He is also a postdoctoral fellow in Nanjing University of Science and Technology from July 2015. His research interests include decentralised adaptive control of complex systems, time-delay systems and stochastic nonlinear control.

Yifan Zhang

Yifan Zhang was born in Heilongjiang Province, China, on 12 August 1989. She received her B.S. degree in Mathematics and Applied Mathematics from Bohai University, Jinzhou, China, in 2014. She is pursuing her M.S. degree in Applied Mathematics in Bohai University, Jinzhou, China. Her research interests include decentralised control and stochastic nonlinear control.