Journal of The Society of Instrument and Control Engineers
Online ISSN : 1883-8170
Print ISSN : 0453-4662
ISSN-L : 0453-4662
Volume 6, Issue 8
Displaying 1-7 of 7 articles from this issue
  • Ichiro SUGA
    1967 Volume 6 Issue 8 Pages 549-557
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
    The inverse problem in optimal control is to find all possible performance indices or loss functions under a given optimal control law. The solutions of this problem are expected to offer general properties of optimal control systems as well as useful informations about the relation between the optimal control theory and the conventional feedback theory.
    In this paper, the author proposes a new method for solving this problem where the loss functions are previously assumed to have a quadratic form of input variables.
    He applies this method to the feedback system where a multi-input linear plant is governed by a linear control law. The minimal loss function in this case is expressed not only by a quadratic form with some arbitrariness but also by an arbitrary scalar-valued function which is restricted by a certain constraint depending on the plant characteristic. This arbitrariness results from the fact that there may be some performance indices independent of the manipulating input. From these observations, a new concept “uncontrollability of performance index” is introduced. This concept is considered as one of the fundamental properties of optimal control systems.
    Furthermore, this paper presents a necessary and sufficient condition in the frequency domain for multivariable stationary feedback systems to be optimal in the sense that the minimal quadratic loss function becomes nonnegative or positive definite. This is an extension of Kalman's result for single-input feedback systems and is related to the concept of parameter sensitivity in the conventional feedback theory.
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  • Takafumi OFUJI, Kazuhisa YAMASHITA
    1967 Volume 6 Issue 8 Pages 558-567
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
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  • Yasuo KITAHAMA, Seigo MATSUI
    1967 Volume 6 Issue 8 Pages 568-579
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
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  • Ryozo ARAKI, Shokichiro YOSHIKAWA
    1967 Volume 6 Issue 8 Pages 580-589
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
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  • Sunao YAMASHITA, Hisashi HOSHI, Tadashi SHIRAKAWA, Tadao SUZUKI
    1967 Volume 6 Issue 8 Pages 590-593
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
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  • [in Japanese]
    1967 Volume 6 Issue 8 Pages 601-602
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
    Download PDF (664K)
  • [in Japanese]
    1967 Volume 6 Issue 8 Pages 603
    Published: August 10, 1967
    Released on J-STAGE: November 26, 2009
    JOURNAL FREE ACCESS
    Download PDF (129K)
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