H∞ Functional Observer Design for One-Sided Lipschitz Nonlinear Systems with Time-Delay

H∞ functional observer design for one-sided Lipschitz nonlinear systems with time-delay is investigated. The existence conditions of the gain matrices of the H∞ functional observer are derived based on the linear matrix inequality, and the gain matrices of the functional observer is obtained. The error dynamics asymptotically converges to zero when systems in the absence of noises. The proposed functional observer can effectively suppress disturbances in the presence of noises. Finally, simulation results are given to illustrate the effectiveness of the proposed method in this paper.