Abstract
This note is concerned with the observer design problem for a class of nonlinear neutral systems with time delay. The problem addressed is to design a full-order observer that guarantees the asymptotic stability of an error dynamic system. Firstly, some sufficient conditions for the existence of observers of a class of nonlinear neutral systems with time-varying delay are presented. An effective algebraic matrix equation approach is developed. Then we give a design method of the observer that is dependent on the solution of a linear matrix inequality. Furthermore, robust observer designs for a class of nonlinear neutral systems with time delay and uncertainties are obtained. Finally, an example is given to show the effectiveness of our proposed approaches.
Highlights
The state estimation problem has been widely developed throughout the past three decades
Since the system uncertainties and exogenous disturbance input are unavoidable in modeling, the robust state observer design problem has been studied for many years in order to preserve the satisfactory observer action under system uncertainties and exogenous disturbances
We address the observer design problem for nonlinear neutral systems with time-varying delay
Summary
The state estimation (or observer) problem has been widely developed throughout the past three decades. Observer design methodology for a class of neutral delay systems is presented in Section , and some sufficient conditions for the existence of the proposed observer are given.
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