On-line Model Parameter Estimations for Time-delay Systems

This paper concerns a problem of on-line model parameter estimations for multiple time-delay systems. In order to estimate unknown model parameters from measured state variables, we propose two schemes using the Lyapunov's direct method, called parallel and series-parallel model estimators, respectively. It is shown through a numerical example that the proposed parallel and series-parallel model estimators can be effective in estimating when sufficiently rich inputs are applied.