WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 10, 2015
Design of Observer for One-Sided Lipschitz Nonlinear Systems with Interval Time-Varying Delay
Authors: , ,
Abstract: 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.
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Keywords: Nonlinear observers, One-sided Lipschitz condition, Quadratic inner-boundedness, Asymptotic stability, Interval time-varying delay
Pages: 385-395
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 10, 2015, Art. #41