Journal
JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS
Volume 29, Issue 2, Pages 127-135Publisher
SPRINGER
DOI: 10.1007/s40313-018-0369-8
Keywords
Observer design; Nonlinear systems; Exponential observer; Incremental quadratic constraints (delta QC); Linear matrix inequalities (LMIs)
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Funding
- National Nature Science Foundation of China [51505273]
- MOE Key Laboratory of Image Processing and Intelligence Control (Huazhong University of Science and Technology) [IPIC2015-02]
- National Key Technology R&D Program of China [2015BAF10B01]
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This paper considers the exponential observer design for a class of nonlinear systems with output nonlinearities. The nonlinear terms in the systems are assumed to satisfy incremental quadratic constraints which include many commonly encountered nonlinearities in existing literature as some special cases. We construct a circle-criterion-based observer by injecting both the linear and the nonlinear output error terms into the observer system. Sufficient conditions ensuring the exponential stability of the proposed observer are established and formulated in terms of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed design approach are illustrated through two examples.
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