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  <Article>
    <Journal>
      <PublisherName/>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn/>
      <Volume>6</Volume>
      <Issue/>
      <PubDate PubStatus="ppublish">
        <Year>2000</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>An extension of generalized minimum variance control for multi-input multi-output systems using coprime factorization approach</ArticleTitle>
    <FirstPage LZero="delete">4184</FirstPage>
    <LastPage>4188</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Inoue</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Yanou</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Takao</FirstName>
        <LastName>Sato</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Yoichi</FirstName>
        <LastName>Hirashima</LastName>
        <Affiliation/>
      </Author>
    </AuthorList>
    <PublicationType/>
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    <Abstract>&lt;p&gt;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&lt;/p&gt;
</Abstract>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
    <ObjectList>
      <Object Type="keyword">
        <Param Name="value">MIMO systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">closed loop systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">control system synthesis</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">polynomial matrices</Param>
      </Object>
    </ObjectList>
    <ReferenceList/>
  </Article>
  <Article>
    <Journal>
      <PublisherName/>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn/>
      <Volume>4</Volume>
      <Issue/>
      <PubDate PubStatus="ppublish">
        <Year>2001</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>A state-space based design of generalized minimum variance controller equivalent to transfer-function based design</ArticleTitle>
    <FirstPage LZero="delete">2761</FirstPage>
    <LastPage>2766</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Inoue</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Yanou</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Takao</FirstName>
        <LastName>Sato</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Yoichi</FirstName>
        <LastName>Hirashima</LastName>
        <Affiliation/>
      </Author>
    </AuthorList>
    <PublicationType/>
    <ArticleIdList>
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    <Abstract>&lt;p&gt;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&lt;/p&gt;
</Abstract>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
    <ObjectList>
      <Object Type="keyword">
        <Param Name="value">control system synthesis</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">matrix algebra</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">observers</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">polynomials</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">rational functions</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">reduced order systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">state feedback</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">state-space methods</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">transfer functions</Param>
      </Object>
    </ObjectList>
    <ReferenceList/>
  </Article>
  <Article>
    <Journal>
      <PublisherName/>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn/>
      <Volume>5</Volume>
      <Issue/>
      <PubDate PubStatus="ppublish">
        <Year>2003</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>Continuous-time anti-windup generalized predictive control of non-minimum phase processes with input constraints</ArticleTitle>
    <FirstPage LZero="delete">4457</FirstPage>
    <LastPage>4462</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N">Mingcong</FirstName>
        <LastName>Deng</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Inoue</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Yanou</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Yoichi</FirstName>
        <LastName>Hirashima</LastName>
        <Affiliation/>
      </Author>
    </AuthorList>
    <PublicationType/>
    <ArticleIdList>
      <ArticleId IdType="doi"/>
    </ArticleIdList>
    <Abstract>&lt;p&gt;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.&lt;/p&gt;
</Abstract>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
    <ObjectList>
      <Object Type="keyword">
        <Param Name="value">closed loop systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">continuous time systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">control system synthesis</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">matrix decomposition</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">predictive control</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">stability</Param>
      </Object>
    </ObjectList>
    <ReferenceList/>
  </Article>
  <Article>
    <Journal>
      <PublisherName/>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn/>
      <Volume>1</Volume>
      <Issue/>
      <PubDate PubStatus="ppublish">
        <Year>1999</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>A design of a strongly stable generalized predictive control using coprime factorization approach</ArticleTitle>
    <FirstPage LZero="delete">652</FirstPage>
    <LastPage>656</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Inoue</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Akira</FirstName>
        <LastName>Yanou</LastName>
        <Affiliation/>
      </Author>
      <Author>
        <FirstName EmptyYN="N">Yoichi</FirstName>
        <LastName>Hirashima</LastName>
        <Affiliation/>
      </Author>
    </AuthorList>
    <PublicationType/>
    <ArticleIdList>
      <ArticleId IdType="doi"/>
    </ArticleIdList>
    <Abstract>&lt;p&gt;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&lt;/p&gt;
</Abstract>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
    <ObjectList>
      <Object Type="keyword">
        <Param Name="value">closed loop systems</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">control system synthesis</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">matrix algebra</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">predictive control</Param>
      </Object>
      <Object Type="keyword">
        <Param Name="value">stability</Param>
      </Object>
    </ObjectList>
    <ReferenceList/>
  </Article>
  <Article>
    <Journal>
      <PublisherName/>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn/>
      <Volume/>
      <Issue/>
      <PubDate PubStatus="ppublish">
        <Year>2001</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>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</ArticleTitle>
    <FirstPage LZero="delete"/>
    <LastPage/>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N"/>
        <LastName/>
        <Affiliation/>
      </Author>
    </AuthorList>
    <PublicationType/>
    <ArticleIdList>
      <ArticleId IdType="doi"/>
    </ArticleIdList>
    <Abstract/>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
    <ObjectList/>
    <ReferenceList/>
  </Article>
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