This paper proposes a new generalized minimum-variance controller (GMVC) having new design parameters by using the coprime factorization approach for a multi-input multi-output (MIMO) case. The method is directly extended from a conventional GMVC and used to construct the controller; it needs to solve only one Diophantine equation as in the conventional method. In this paper, by using double-coprime factorization, a simple formula for the closed-loop system given by the parametrized controller is obtained; and using the formula, it is proved that the closed-loop characteristic from the reference signal to plant output is independent of the selection of the design parameters and the poles of the controller can be chosen by the design parameters without changing the closed-loop system
en-copyright= kn-copyright= en-aut-name=InoueAkira en-aut-sei=Inoue en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YanouAkira en-aut-sei=Yanou en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SatoTakao en-aut-sei=Sato en-aut-mei=Takao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=HirashimaYoichi en-aut-sei=Hirashima en-aut-mei=Yoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University affil-num=4 en-affil= kn-affil=Okayama University en-keyword=MIMO systems kn-keyword=MIMO systems en-keyword=closed loop systems kn-keyword=closed loop systems en-keyword=control system synthesis kn-keyword=control system synthesis en-keyword=polynomial matrices kn-keyword=polynomial matrices END start-ver=1.4 cd-journal=joma no-vol=6 cd-vols= no-issue= article-no= start-page=4403 end-page=4407 dt-received= dt-revised= dt-accepted= dt-pub-year=1995 dt-pub=19956 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Parametrization of identity interactors and the discrete-time all-pass property en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper gives a concise parametrization of all identity interactors of a discrete-time multivariable square system. This is performed by means of a state-space description computed from a given particular interactor of the system. The paper then proposes a selection of the parameter which leads to an all-pass closed-loop transfer matrix. This closed-loop system turns out to be equivalent to a certain LQ (linear quadratic) optimal feedback system. A numerical example is given to illustrate the results
en-copyright= kn-copyright= en-aut-name=SugimotoKenji en-aut-sei=Sugimoto en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=LiuYi en-aut-sei=Liu en-aut-mei=Yi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=InoueAkira en-aut-sei=Inoue en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Okayama University affil-num=3 en-affil= kn-affil=Okayama University en-keyword=closed loop systems kn-keyword=closed loop systems en-keyword=discrete time systems kn-keyword=discrete time systems en-keyword=feedback kn-keyword=feedback en-keyword=multivariable control systems kn-keyword=multivariable control systems en-keyword=polynomial matrices kn-keyword=polynomial matrices en-keyword=state-space methods kn-keyword=state-space methods en-keyword=transfer function matrices kn-keyword=transfer function matrices END