Abstract: This paper investigates the problem of observer design for a class of nonlinear systems with time-delay and uncertain nonlinearity. Firstly, using the Mean-value Theorem and combining constructing the Lyapunov-Krasovskii functional, the convergence conditions of nonlinear observer for a class of nonlinear systems with time-varying delay and uncertain nonlinearity are established in terms of a linear matrix inequality. Then the new sufficient conditions are derived to ensure the convergence of the observer for a class of nonlinear systems with constant time-delay and uncertain nonlinearity. The simulation results are presented to show the effectiveness of the proposed method.
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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 9, 2014, Art. #64
Yali Dong, Wanjun Liu, Shikai Zuo, "Observer Design for Nonlinear Systems with Interval Time-Varying Delay," WSEAS Transactions on Systems and Control, vol. 9, pp. 614-622, 2014, DOI:
Yali Dong, Wanjun Liu, Shikai Zuo. Observer Design for Nonlinear Systems with Interval Time-Varying Delay.
WSEAS Transactions on Systems and Control. 2014;9:614-622.