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=4 cd-vols= no-issue= article-no= start-page=2761 end-page=2766 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=20016 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A state-space based design of generalized minimum variance controller equivalent to transfer-function based design en-subtitle= kn-subtitle= en-abstract= kn-abstract=Proposes a generalized minimum variance controller (GMVC) using a state-space approach. The controller consists of a state feedback and a reduced-order observer with poles at z=0. A coprime factorization of the state-space based controller is also obtained. It is shown that the GMVC designed by state-space approach is equivalent to the GMVC given by solving Diophantine equations and a polynomial approach. The equivalence is proved by comparing coprime factorizations of the two controllers. From the results of the paper, it may be possible to apply advanced design schemes given by state-space control theory to the design of GMVC
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=control system synthesis kn-keyword=control system synthesis en-keyword=matrix algebra kn-keyword=matrix algebra en-keyword=observers kn-keyword=observers en-keyword=polynomials kn-keyword=polynomials en-keyword=rational functions kn-keyword=rational functions en-keyword=reduced order systems kn-keyword=reduced order systems en-keyword=state feedback kn-keyword=state feedback en-keyword=state-space methods kn-keyword=state-space methods en-keyword=transfer functions kn-keyword=transfer functions END start-ver=1.4 cd-journal=joma no-vol=5 cd-vols= no-issue= article-no= start-page=4457 end-page=4462 dt-received= dt-revised= dt-accepted= dt-pub-year=2003 dt-pub=200312 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Continuous-time anti-windup generalized predictive control of non-minimum phase processes with input constraints en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper deals with a design problem of a continuous-time anti-windup generalized predictive control system using coprime factorization approach for non-minimum phase processes with input constraints. Based on the proposed design scheme, a condition for stability of the closed-loop system with input constraints and a straightforward method to improve the output response of the system with input constraints are given. Simulation results are presented to support the theoretical analysis.
en-copyright= kn-copyright= en-aut-name=DengMingcong en-aut-sei=Deng en-aut-mei=Mingcong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 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=2 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=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=Kinki University affil-num=4 en-affil= kn-affil=Okayama University en-keyword=closed loop systems kn-keyword=closed loop systems en-keyword=continuous time systems kn-keyword=continuous time systems en-keyword=control system synthesis kn-keyword=control system synthesis en-keyword=matrix decomposition kn-keyword=matrix decomposition en-keyword=predictive control kn-keyword=predictive control en-keyword=stability kn-keyword=stability END start-ver=1.4 cd-journal=joma no-vol=1 cd-vols= no-issue= article-no= start-page=652 end-page=656 dt-received= dt-revised= dt-accepted= dt-pub-year=1999 dt-pub=19996 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A design of a strongly stable generalized predictive control using coprime factorization approach en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper proposes a new generalized predictive control (GPC) having new design parameters. In selecting the design parameters, the controller becomes a strongly stable GPC, that is, not only the closed-loop system is stable, but also the controller itself is stable. The parameters are introduced by applying the coprime factorization approach and comparing Youla parametrization of stabilizing compensators to the controller by the standard GPC
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=HirashimaYoichi en-aut-sei=Hirashima en-aut-mei=Yoichi 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=control system synthesis kn-keyword=control system synthesis en-keyword=matrix algebra kn-keyword=matrix algebra en-keyword=predictive control kn-keyword=predictive control en-keyword=stability kn-keyword=stability END start-ver=1.4 cd-journal=joma no-vol= cd-vols= no-issue= article-no= start-page= end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=20010325 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=既約分解表現を用いた強安定セルフチューニングコントローラの構成 en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=矢納陽 kn-aut-sei=矢納 kn-aut-mei=陽 aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=岡山大学 END