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Identification of unstable TITO systems by optimization technique

A framework to identify the transfer function matrix of an unstable system is proposed. The individual elements of the transfer function matrix are considered to be first order plus time delay process. The proposed method involves comparing the process response of the model to step input with that of the actual process and using least square optimization technique to identify the parameters. In order to determine the initial guess values of the model parameters, analytical expressions are derived using the process main and interaction response. The method gives good parameter estimates even in presence of noise on the identified model parameters and is easy to implement.