Observer design for the Lur'e differential inclusion system with Markovian jumping parameters |
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| Authors: | Jun Huang Peng Wang Zhengzhi Han Xiushan Cai |
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| Affiliation: | 1. School of Mechanical and Electrical Engineering , Soochow University , Suzhou , Jiangsu 215021 , China cauchyhot@163.com;3. Wind Power Research Center &4. State Key Laboratory of Ocean Engineering , Shanghai Jiaotong University , Shanghai 200240 , China;5. School of Electronic, Information and Electrical Engineering , Shanghai Jiaotong University , Shanghai 200240 , China;6. College of Mathematics, Physics, and Information Engineering , Zhejiang Normal University , Jinhua 321004 , China |
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| Abstract: | This article deals with the observer design for the Lur'e differential inclusion system with Markovian jumping parameters. The set-valued mapping in the system is assumed to be upper semi-continuous, closed, convex, bounded and monotone. The full-order and reduced-order observers are designed to make the corresponding error systems exponentially stable in the mean square, respectively. The criteria are given to guarantee the existence of both full-order and reduced-order observers. The rotor system is considered as an example to show the validity of the proposed method. |
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| Keywords: | Lur'e differential inclusions full-order observer reduced-order observer Markovian jumping parameters |
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