06091582

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06091582 Zhang, Yue Yang, Hongjin Zhao, Heping Liu, Rui Observer design for Lipschitz nonlinear systems with time-delay. J. Northeast. Univ., Nat. Sci. 32, No. 11, 1521-1524 (2011). 2011 Editorial Department of Journal of Northeastern University, Nanhu, Shenyang ZH nonlinear system with time-delay full-order observer reduced-order observer linear matrix inequality Lyapunov function Summary: For the problem of state observer design which is considered for a class of Lipschitz nonlinear systems with time-delay, new type full-order and reduced-order observers are given. Sufficient conditions for observers are presented by linear matrix inequality (LMI) and are proven through constructing Lyapunov function. The results indicate that the gain matrixes of full-order and reduced-order observers can be obtained easily by solving linear matrix inequality, so the solving process of the gain matrixes is simplified and the blindness of selecting the gain matrix is avoided. The simulation results for the model show that the two kinds of state estimate errors converge to zero quickly, which indicates that the approach is effective.