Identification of continuous-time linear systems with time-delay

This paper addresses the identification problem of time-delay linear continuous-time systems. More specifically, the involved parameters and time-delay are jointly estimated using a suitable adaptive observer. The latter heavily borrows from the high gain observer design that has been widely investigated throughout the last decade. Global exponential convergence of the parameters and time delay estimates to their trues values is established under an appropriate persistent excitation property. The performance of the proposed identification approach is demonstrated by a simulation study involving an academic example.

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