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=4 cd-vols= no-issue= article-no= start-page=3666 end-page=3670 dt-received= dt-revised= dt-accepted= dt-pub-year=2004 dt-pub=20047 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tracking of perturbed nonlinear plants using robust right coprime factorization approach en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper deals with a plant output tracking design problem of perturbed nonlinear plants by using a robust right coprime factorization approach. An interesting control system design scheme, which was given by G. Chen and Z. Han, uses robustness of the right coprime factorization for robust stability of the closed-loop system with perturbation. Unfortunately, robust right coprime factorization cannot easily improve tracking performance of the control system except for simple cases. In this paper, a nonlinear operator-based design method for nonlinear plant output to track a reference input is given. Examples 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=IshikawaKazushi en-aut-sei=Ishikawa en-aut-mei=Kazushi 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=closed loop systems kn-keyword=closed loop systems en-keyword=control system synthesis kn-keyword=control system synthesis en-keyword=mathematical analysis kn-keyword=mathematical analysis en-keyword=nonlinear control systems kn-keyword=nonlinear control systems en-keyword=perturbation techniques kn-keyword=perturbation techniques en-keyword=robust control kn-keyword=robust control END