Observer design for the Lur'e differential inclusion system with Markovian jumping parameters
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.
lur'e differential inclusions markovian jumping parameters reduced-order observer full-order observer