Generalized minimum variance control for time varying systems without diophantine equation

This paper presents a strategy of generalized minimum variance control (GMVC) for time varying systems (TVS). In general, GMVC has been developed in time invariant systems (TIS). GMVC for TVS is designed by refering the time varying polynomials of the plant at various control periods. However, the time function of the polynomials deviates from the true references due to the Diophantine equation. This paper proposes a GMVC strategy that predicts the future output by. without applying the Diophantine equation. The predictive method is based on the basis of O.P. Palsson´s proposed prediction. The future output is derived from recursive referral with only the time varying polynomials of the plant. Furthermore, this paper develops the servomechanism against the reference signal and the load-disturbance. The simulation shows the effective results of the proposed GMVC in TVS.