Observer for differential inclusion systems with incremental quadratic constraints

Abstract

This paper studies an exponential observer design method for a kind of differential inclusion systems. The set-valued term is monotone, while the nonlinear term satisfies incremental quadratic constraints. The extended-type observer framework for the system is proposed, and the existence conditions are obtained by the constraints of linear matrix inequalities and linear matrix equalities. Specially, the algorithm of computing the incremental multiplier matrix is also discussed. The availability of the proposed method is verified by three numerical examples.

Keywords:

• Observer
• differential inclusion systems
• incremental quadratic constraints

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by China Postdoctoral Science Foundation [2017M611903], the National Natural Science Foundation of China [61403267] and the Natural Science Foundation of Jiangsu Province [BK20130322].

Notes on contributors

Lin Yang

Lin Yang was born in Shandong Province, China, in 1996. He received his B.S. degree in Automation from Qilu University of Technology in 2019. He is currently pursuing the M.S. degree in the School of Mechanical and Electrical Engineering, Soochow University.

Jun Huang

Jun Huang was born in Anhui Province, China, in 1984. He obtained his M.S. degree in Mathematics from East China Normal University in 2008 and his Ph.D. degree in Automation from Shanghai Jiao Tong University in 2012. He is now an associate professor in the School of Mechanical and Electrical Engineering, Soochow University. His current research interests include differential inclusion system, the theory of interval observer design, nonlinear control, adaptive control.

Min Zhang

Min Zhang was born in Jiangsu Province, China, in 1997. She received his B.S. degree in Automation from Jiangsu University of Science and Technology in 2019. She is currently pursuing the M.S. degree in the School of Mechanical and Electrical Engineering, Soochow University.

Ming Yang

Ming Yang was born in Jiangsu Province, China, in 1994. He received his B.S. degree in Electrical Engineering from Applied Technology College of Soochow University in 2017. He is currently pursuing the M.S. degree in the School of Mechanical and Electrical Engineering, Soochow University.