Observer design for stochastic one-sided Lipschitz Lur'e differential inclusion system

This paper presents an observer design for a stochastic one-sided Lipschitz Lur'e differential inclusion system. The feature of the system is that a nonlinear term satisfies one-sided Lipschitz condition and elements of a transition rates matrix are partially unknown. First, a framework of a Luenberger-type observer with stochastic switching parameters is presented. Then, the conditions which guarantee that the error system is exponentially stable in mean square are derived. Finally, the simulation with a rotor system is conducted to prove the effectiveness of the proposed observer design.