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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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10.1002/ffj.1390

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1573-269X

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A note on adaptive observer for the Lur’e differen

Authors: Jun Huang Junfeng Zhang Zhengzhi Han
Publish Date: 2016/07/21
Volume: 86, Issue: 2, Pages: 1227-1237
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Abstract

This paper considers the adaptive observer design problem for the Lur’e differential inclusion system with unknown parameters Different from the current work the proposed observer does not hold any setvalued mapping and the uncertain parameters can also be identified Firstly the adaptive observer is designed for the Lur’e differential inclusion system and it is proved to be valid by Lyapunov stability theory Then based on the canonical form of the system matrix the sufficient and necessary condition for one assumption is presented in both SISO and MIMO cases Finally numerical examples are simulated to show the effectiveness of the proposed methodThe work is supported by the National Natural Science Foundation of China 6140326761503107 Natural Science Foundation of Jiangsu Province of China BK20130322 Zhejiang Provincial Natural Science Foundation of China LY16F030005 Natural Science Fund for Colleges and Universities in Jiangsu Province 13KJB510032 and China Postdoctoral Science Foundation 2013M53026829 Let ys=Gsus where Gsin Rntimes l is transfer function then there exist n different real numbers omega 1omega 2ldots omega n such that Gjomega 1Gjomega 2cdots Gjomega n are linear independent then yt is persistently exciting signal if and only if u is nth order multifrequency

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