H∞ observer design for singular one-sided Lur'e differential inclusion system

This paper deals with the H∞ observer design problem for singular Lur'e differential inclusion system with one-sided Lipschitz term. The Luenberger observer theory is used to construct the framework of H∞ observer. First, the system without disturbance is considered and sufficient conditions are derived to guarantee that the error system is asymptotically stable. Then, the result is extended to the system subject to disturbance, the conditions for the existence of H∞ observer are also given. Finally, two examples are simulated to show the effectiveness of the proposed observers in this paper.