Journal of The Society of Instrument and Control Engineers
Online ISSN : 1883-8170
Print ISSN : 0453-4662
ISSN-L : 0453-4662
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Volume 3, Issue 10
Displaying 1-8 of 8 articles from this issue
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  • [title in Japanese]
    [in Japanese]
    1964 Volume 3 Issue 10 Pages 725-733
    Published: October 10, 1964
    Released on J-STAGE: May 24, 2011
    DOIhttps://doi.org/10.11499/sicejl1962.3.725
    JOURNAL FREE ACCESS
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  • Phase-plane Analysis of Transient Responses of Second-order Relay-control Systems Subjected to Periodic Input
    Hiroshi TAMURA
    1964 Volume 3 Issue 10 Pages 734-743
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.734
    JOURNAL FREE ACCESS
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    A graphical method to analyze the transient responses of second-order relay-control systems subjected to periodic input is proposed in this paper. The phase-plane representation is employed in studying the behavior of system variables. There will be derived formulae showing the relation between the two points on the phase-plane, which give the position of a solution at the beginning and at the end of a certain definite interval of time, provided that the number of commutation of the relay element during the interval is less than or equal to one.
    The behavior of system variables on the phase-plane is determined by using these formulae. By repetitive application of these formulae, the behavior of solutions can be investigated by every definite period of time, which is usually chosen equal to some multiples of half a cycle of input signal.
    It is suggested that by using the method proposed in this paper, regions of initial conditions leading to different types of periodic oscillations may be determined.
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  • Optimal Control of a Distributed-Parameter System
    Yoshiyuki SAKAWA
    1964 Volume 3 Issue 10 Pages 744-749
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.744
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    This paper treats optimal control problem in a distributed-parameter system. As a typical distributed-parameter system, a heat conduction system is taken up. The problem of optimal control treated here is to minimize the deviation of temperature distribution from the assigned distribution, at a given time. Two methods are shown for the solution of the optimal control problem. One is the variational method and the other consists of reducing the problem to a linear or nonlinear programming. Using the variational technique, the Fredholm's integral equation of the first kind is derived as a necessary condition for the optimal control. By replacing the minimization of a functional by the minimization of a function of many variables, the problem is reduced to a linear or nonlinear programming. Numerical solutions by using a digital computer are shown also.
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  • Time-Optimal Control of Second Order Systems with Both Forcing Term and Parameter Variations
    Masami MASUBUCHI, Takashi SEKIGUCHI, Hideaki KANOH
    1964 Volume 3 Issue 10 Pages 750-758
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.750
    JOURNAL FREE ACCESS
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    Control of system parameters besides forcing term of differential equation which expressessystem dynamics is important to obtain good control results. This paper presents the analysis of time optimal control of second order system equation with both forcing term and parameter variations by using Pontryagin's Maximum Principle, showing that there are some cases where uniqueness of solution is not satisfied. Also discussed are methods of obtaining optimal trajectory in the above cases.
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  • Estimation of Parameter Sensitivity of Linear Control Systems
    Yoshifumi OKUYAMA
    1964 Volume 3 Issue 10 Pages 759-767
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.759
    JOURNAL FREE ACCESS
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    System-parameters of linear control system generally have some variations about the assumed -values because of an inaccuracy of their measurement and time-functional variations in operation. If these variations in the assumed values are regarded as a kind of previously unknown disturbance, it should be considered that their undesirable effects on the estimated value of the system are to be minimized. In this paper, such control systems are investigated and the effects of the systemparameter variations, which are independent of time or slowly varying, are analysed. Not only, deduced from the sensitivity function but also estimated from the variations of rms error, a method is suggested to minimize these undesirable effects. Also given are the experimental results of the synthesized system obtained by using analog computer.
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  • Design Method of On-Off Type Controllers
    for Controlled Object with Astatic Behavior
    Kimio YAMAGUCHI
    1964 Volume 3 Issue 10 Pages 768-774
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.768
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    Discussed in this paper is an on-off control of the controlled object with astatic behavior. Ampli-tude of limit cycle becomes very small when loop transfer function of linear parts except relay takes the form of K(1+K0T0s)/s(1+T0s) by properly designed compensator. Transient response of the system depends on T0 and k0. Magnitude of T0 and ko is so determined that the ISE becomes minimum for the step change of reference value. Thus obtained optimal values T0 and k0 generally depend on the magnitude of change of reference value.
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  • [title in Japanese]
    [in Japanese]
    1964 Volume 3 Issue 10 Pages 775-778
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.775
    JOURNAL FREE ACCESS
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  • [title in Japanese]
    [in Japanese]
    1964 Volume 3 Issue 10 Pages 779-786
    Published: October 10, 1964
    Released on J-STAGE: October 21, 2010
    DOIhttps://doi.org/10.11499/sicejl1962.3.779
    JOURNAL FREE ACCESS
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