Design of observer for one-sided Lipschitz nonlinear systems with interval time-varying delay

This paper deals with state observer design problem for a class of nonlinear dynamical systems with interval time-varying delay that satisfies the one-sided Lipschitz condition. The systems under consideration include the well-studied Lipschitz system as a special case and possess inherent advantages with respect to conservativeness. By constructing a novel Lyapunov-Krasovskii functional and utilizing free-weighting matrices approach, novel sufficient conditions that guarantee the observer error converge asymptotically to zero are obtained for a class of nonlinear dynamical systems with interval time-varying delay in terms of linear matrix inequalities. The computing method for observer gain matrix is given. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method. © 2015, World Scientific and Engineering Academy and Society. All rights reserved.