Output Feedback Control for a Class of Nonlinear Delayed Systems

In this work, delays affecting either the output measurements or the input for a class of nonlinear systems are coped with. This problem is particulary challenging since time delays arise in variety of applications, such as systems communicating through (wireless) networks. Indeed when the controller is a remote one, delays must be taken into account, affecting both the input and the output of the system. We first present a set of cascade high gain observers for triangular nonlinear systems with delayed output measurement. A sufficient condition ensuring the exponential convergence of the observation error towards zero is given. This approach is then applied to design an output feedback control in the presence of input delay. These results are illustrated through numerical simulations.

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