Observer design for the Lur'e differential inclusion system with Markovian jumping parameters

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.

Keywords:

• Lur'e differential inclusions
• full-order observer
• reduced-order observer
• Markovian jumping parameters

Acknowledgements

The authors would like to thank the editor and the anonymous reviewers for their many helpful suggestions. The authors are grateful for the support of the National Natural Science Foundation of China (Grant No. 61074003).