A unified approach for identification and control of MIMO systems in delta domain

This paper presents the methods which are based on delta operator for identification and control of MIMO systems where time moments are used. Delta time moments (DTM) are computed from real time input-output data and are utilized to develop adaptive predictive algorithms in a model reference framework. The reference model is developed in the complex delta domain from classical time and frequency domain specifications which guarantees both stability and performance of the overall controlled system. Two control schemes namely, i) Inverse control using DTM (ICDTM) and ii) Pade Adapted Inverse control using DTM with error feedback (PICDTMEF) have been proposed in this work. The control algorithms are tested with numerical examples. The output of the plant is compared with the output of the reference model using the control algorithm. The stability and performance characteristics of the overall control systems closely match with that of the reference model, demonstrating the efficacy of the proposed control schemes.