期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 64, 期 8, 页码 3194-3209出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2018.2882417
关键词
High-gain methodology; Lipschitz systems; LMIs; observer design
资金
- State Key Laboratory of Intelligent Control and Decision of Complex Systems
- National Natural Science Foundation of China [61703099]
- China Postdoctoral Science Foundation [2017M621589]
- NSF [CMMI 1562006]
This paper develops a new high-gain observer design method for nonlinear systems that has a lower gain compared to the standard high-gain observer. This new observer, called HG/LMI observer, is obtained by combining the standard high-gain methodology with the LMI-based observer design technique. Through analytical developments, this paper shows how the new observer provides lower gains, shows how it applies to systems with multinonlinear functions, and analyzes performance in the presence of measurement noise and/or delayed output measurements. A numerical example is given to illustrate the increasing advantage of the new HG/LMI observer with increase in the observer's compromise index.Finally, the applicability and performance of the observer is demonstrated for a real-world application consisting of a train's magnetic levitation system.
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