A Method for Identifying Continuous Delayed Systems using Rectangular-Pulse Testing

S.-H. Hwang and Y.-C. Huang (Taiwan)


Identification, Rectangular Pulse, Continuous Delayed Systems, Two-Stage Algorithm


An identification method is presented to deal with practical identification difficulties often encountered in plant testing, such as unsteady initial states and unknown load disturbances. A linear regression equation for step testing is first derived via integrating the differential system equation multiple times. A rectangular-pulse input is then considered as a combination of two step inputs. Based on the pulse response, the so-called two-stage least-squares algorithm is developed to overcome those identification difficulties and yield accurate estimates of the model parameters in a sequential manner. The method provides a convenient way to estimate the delay along with other model parameters. Furthermore, it is robust with respect to noise and model structure mismatch.

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