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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