An Extended Generalized Minimum Variance Control Using a Full-Order Observer Equivalent to the Controller Based on Polynomials

This paper proposes an extended controller for generalized minimum variance control (GMVC) based on a full-order observer which has the equivalence to a controller by the polynomial approach. Although it has been proved that the controller using the reduced-order observer has the equivalence, it is difficult for the controller to be extended to Youla-Kucela generalized stabilizing controller. On the other hand, the controller using the full-order observer can be easily extended. Hence, the authors have already proposed a modified full-order observer so that the controller using the modified observer could be easily extended and has the equivalence with the controller by the polynomial approach. This paper extends the controller using the modified full-order observer to the generalized stabilizing controller and proves the equibalance to the extended controller by the polynomial approach mathematically. The equivalence gives the controller of polynomial approach to have the strong points of state-space based design. That is, the observer-based controller has a simple structure, which is state-feedback plus state estimator observer and it is easy to design the closed-loop poles. A numerical simulation is given to show the effectiveness of the proposed controller.