Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Volume 3, Issue 4
Displaying 1-15 of 15 articles from this issue
  • Shuta MURAKAMI
    1967 Volume 3 Issue 4 Pages 245-251
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    Many of the daily events occur at random, and can be considered as time dependent discrete stochastic processes.
    In this paper, as an example of discrete stochastic process, a machine service process, especially a machine being serviced by a single repairman is considered. By making use of the flow chart, the probability of the machine being in the working state or in the breakdown state is analyzed in the transient as well as in the stationary states.
    As a result, it is proved that the probability of the working state when there is a man watching for the machine becomes 10∼15% higher than the probability when there is no man. The manner in which the repairman services the machine may greatly affect the total productivity and conseguently the profit. For example, it is proved that, in some relations between the pay of repairman per unit time and the yield of the machine per unit time, the total profits can be increased when the repairman is periodically hired much more than when he is hired at all times, although the breakdown probability in the former case becomes a little higher than that in the latter case.
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  • Yoshifumi OKUYAMA
    1967 Volume 3 Issue 4 Pages 252-259
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    In linear control systems, system parameters often vary as functions of time under the influence of environmental conditions; such systems are called as time-varying parameter systems. Methods of analysis depend on the type of available information on the time-varying parameters. In this paper, upper bounds of the time-varying parameters are assumed to be known deterministically. Using functional analysis, stability theory of the linear systems in L2-space is discussed in relation to the frequency response of the undisturbed original system. Sufficient condition of stability is obtained for the generalized linear system. Also stability of the systems of which open loop characteristics are expressed as Zadeh's system function is briefly discussed. Finally some illustrative examples are presented.
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  • Sukita NAKAHARA
    1967 Volume 3 Issue 4 Pages 260-267
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    Contamination on a mirror is one of the most difficult problems in measuring dew or frost-point by a dew-point instrument with an optical or radioactive dew-sensing system. As a result of experiment, it became evident that the lights diffusely scattered In from the deposit on the mirror were sensitive to dew or frost and insensitive to contamination of monoethanolamine or the fine particles of molecular sieve, as far as the angles of incidence were greater than 45° and that of reflection normal to mirror surface.
    On the basis of those experimental results, the light diffusely scattered normally to mirror surface was adopted as the reference to a balanced photocell bridge which is the detector of dew or frost on the mirror.
    If dew or frost deposit grows largely on the mirror, the amount of light specularly reflected Is will decrease and In increase, so the output of the bridge will increase. The output amplified regulates rf induction heating to raise the temperature of the mirror and diminish dew or frost. On the contrary, if dew or frost deposit diminishs, rf induction heating will decrease and the deposit will grow. When bare areas on the mirror around individual droplets or crystalline particles are stained with contamination, the amount of light Is will decrease, and then mirror temperature will rise to diminish the deposit. The amount of light In, however, will decrease, for dew or frost decrease in volume, so mirror temperature will be down and dew or frost will be kept constant. Adopting this method, the interval to be able to measure dew or frost-point accurately was prolonged about 3∼5 times.
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  • Kazuto TOGINO, Kuniko INOUE
    1967 Volume 3 Issue 4 Pages 268-273
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
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    Fluid logic elements, the Boolean expression of which is a conditioned disjunction (ABC)=(A∧C)∨(B∧C), have been utilized in sequential circuits of machines. The problem of sequential circuits is to determine whether or not they will respond to an input change in the manner predicted by the flow table. This paper gives an algorithmic approach to the problem through the use of ternary algebla. First, a contact vector, in which one input variable energizes one or more contacts variables, is defined, and hazards in a combined network resulting from the simultaneous changing of two or more contact variables are discussed. Second, a feedback vector associated with a state vector being a certain function of a contact vector and a feedback vector, is also introduced in sequential circuits. The technique is described that will detect any type of hazard or race condition that could result in an incorrect terminal state.
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  • Mitsuo OOTA
    1967 Volume 3 Issue 4 Pages 274-283
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
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    A joint probability density distribution of the instantaneous value X and the slope Y in the arbitrary random wave fluctuating only in positive region can be expressed in the form of a mixed orthonormal expansion series in the statistical Laguerre series and the statistical Hermite series as follows:
    P(X, Y)=Xm-1/Γ(m)Sme-X/S·1/√2πλe-(Y-μY)2/2λ{1+∞Σn=1∞ΣK=1β(n, K)Ln(m-1)(X/S)HK(Y-μY/√λ)}.
    It must be noticed that the general correlation of high degree between level X and slope Y is reflected in each expansion coefficient β(n, k) (n≠0, k≠0).
    While, the expected number M(X) of X per second passing through a level X with positive and negative slopes is given by M(X)=∫∞-∞|Y|P(X, Y)dY.
    Therefore, by using an expression of the expected number in the normalized form: M0(X)=M(x)/(∫∞0M(X)dX), the probability density distribution function of crossing at level X with positive and negative slopes can be expressed as M0(Z)=Pr(Z;m)+AmPr(1)(Z;m+1)+Bm(m+1)/2!Pr(2)(Z;m+2)+Cm(m+1)(m+2)/3!Pr(3)Z;m+3)+Dm(m+1)(m+2)(m+3)/4!Pr(4)Z;m+4……, where Z=X/S, S=μx/m, m=μx2x2x: mean, δx2: variance) and Pr(Z;m)≡Zm-1/Γ(m)e-Z is a gamma probability density distribution function. In the same way, we can obtain an expression of the probability density distribution function N0(Z) of crossing at level X with a positive slope in the similar expansion form.
    Finally, the detailed experimental considerations to corroborate the above theories are given in the following two cases:
    (a) relation between the cumulative probability distribution ∫Z0P(Z)dZ of the instantaneous value and the cumulative probability distribution ∫Z0M0(Z)dZ(or∫Z0N0(Z)dZ) of crossing, (b) high correlations β(n, k) between level X and slope Y, by taking the street noise measured in the city of Fukui as an example of the above random wave fluctuating only in positive region.
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  • Setsuzo TSUJI, Hiroshi IIDA
    1967 Volume 3 Issue 4 Pages 284-291
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    The learning control syntheses are discussed for linear sampled-data systems with unknown parameters as follows.
    1) The unknown parameters are additive: e.g. the means of additive gaussian noises in the dynamical system and the measuring system.
    2) Some elements of the driving matrix are unknown beside additive parameters.
    The learning control problem is reduced to the conventional stochastic control one with the Kalman estimation for a generalized state vector which is composed of the actual state and unknown parameters.
    By this method, the optimal control can be obtained for case 1) and the sub-optimal control policy is obtained by using the same conditional probability distribution for the future values of the driving matrix element for case 2).
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  • Kaoru SASABE
    1967 Volume 3 Issue 4 Pages 292-299
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    This paper describes measurement of speed variation of motors to analyse the distortion of the playbacked pictures when applied to taperecorders, VTR, facsimiles and so on.
    Standard pulses are recorded on a drum driven by a motor and simultaneously the recorded pulses are read after a certain angle rotation. Then this delayed time between the recorded pulse and the read one informs the speed variotion of the motor.
    This paper descusses the fundamental relation between the variation of the delayed time and the speed variation. According to the experimens, the speed variation which corresponds to the number of poles of the motor was remarkable. The optimum driving and controlling system of the equipment is analytically inspected and designed by the aid of the measurement of the speed variation.
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  • Kaoru SASABE
    1967 Volume 3 Issue 4 Pages 300-308
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    A motor whose magnet rotor is driven by the exciting current controlled by the switching action of semiconductors, is going to be utilized in several eqipments. The motor in this paper is one of those driving current is controlled by the e.m.f. by the magnet rotor, and is applied on a VTR, a facsimile and so on.
    It is necessary to know the characteristics of the speed variation in order ot analyse the relation between the distortion of the reproduced picture and the motor specification. The author analysed the instantaneous torque and its variation in case that (1) the constant of magnetic coupling between driving and controlling winding is equal to unity, (2) holonomic representative machine is applied, (3) balanced push-pull driving by a pair of transistors is used, (4) the speed variation is satisfactorily small comapared with its average speed.
    Those characteristics are shown in the range of realizable normalized parameters. The reaction torque resulting from its salient pole structure is described in the geometrical parameters of the magnetic circuits. The analytical inspection of the speed variation and the distortions of the reproduced picture is effectively done after the above discussion.
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  • Yoshikazu SAWARAGI, Tsuneo YOSHIKAWA
    1967 Volume 3 Issue 4 Pages 309-315
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    In the theory of R. Bellman's adaptive control processes, computing time to yield optimal control signal from data obtained during normal operation is ideally regarded to be zero. There will be, however, cases where the computing time delay may not be neglected.
    The subject of this paper is the optimal control policy for adaptive control processes in the case where certain computing time delay is assumed in advance. Functional equations to get such an optimal control policy are described in a fairly general form. These equations ara also shown to be applicable to stochastic control processes and deterministic control processes. Two simple examples are presented to illustrate the application of the method.
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  • Hidenori KIMURA
    1967 Volume 3 Issue 4 Pages 316-322
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    C-Form of switching function is one of the canonical froms of switching functions, which is defined by the three usual operations (addition, multiplication and scalar multiplication) over the real field, instead of the logical operations. In this paper, we consider some properties of switching functions by using this form and apply them to the analysis of the cycle structure of autonomous sequential circuits. These results are expressed in terms of linear algebra. A method of learning identification for sequential circuits is derived and discussed.
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  • Hiromitsu KASHIWAGI, Kiyoshi AWAYA
    1967 Volume 3 Issue 4 Pages 323-331
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    In this paper the authors present a new method of generating arbitrary functions of several variables. In this method the input variables are quantized to digital values, which are used as addresses to read out the values of functions from digital memories. The analog remainder of quantization are used to carry out interpolation for the generation of functions.
    The numbers and accuracy of partial circuits and the capacity of memory required for this generator are discussed.
    This method does not require a large quantity of memory and highly accurate interpolating circuits to generate the functions with high accuracy. The results of experiments confirmed the above discussion and showed the inherent advantage of high speed obtained by the use of pure electronic circuits. The flexibility of this function generator enables to treat multiple-valued functions, discontinuous functions and others which are difficult to be generated by conventional manners.
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  • Special Concentric Cylinder Electrodes
    Tomokazu ARAI, Bunjiro ICHIJO
    1967 Volume 3 Issue 4 Pages 332-338
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    The dielectric method for accurate and rapid measurement of moisture content in powdery and granular materials has been developed as a substitute for a resistance method. By this method is measured the capacitance variation which has a direct relation to specimens inserted in a measuring electrode. In that case, the special concentric cylinder electrode is used, instead of the concentric circle type grid electrode in the previous paper.
    This paper deals with the construction of the special concentric cylinder electrode and describes experimental results of both the effect of sampling weight, and the interrelation among length of electrode, dielectric constant and capacitance variation in electrodes with various geometrical constructions.
    The performances of various electrodes, in which are inserted glassbeads, granulated sugar, wheat and tablets, are investigated by comparing the dispersions of measured values of capacitance.
    Finally, moisture content in granulated sugar and wheat, measured by this method, are described.
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  • Tsunenori HONDA, Ryoichi MIURA, Ryozaburo TAGAWA, Shoichi KOYAMA
    1967 Volume 3 Issue 4 Pages 339-346
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    The ordinary differential equation which is expressed as ë0+p(t)e0=0 is called Mathieu's or Hill's differential equation according to p(t)=δ+εsint or p(t)=δ+∞Σn=1αnsinnt respectively, and they have ever been studied in detail. However, the problem which the restoring-force term p(t)e0 in the above differential equation is affected by some nonlinearity and exchanged for N[p(t)e0] (where N[u] is some nonlinear characteristic for an input u and p(t)=δ+εsint) has not been yet discussed. Such a problem, for example, comes out when the servosystem with (1) an actuator whose transfer function is K0/s(Ts+1), (2) a nonlinear element and (3) a sinusoidally time-varying gain element is studied.
    The differential equation of this type, so to speak, may be regarded as a kind of nonlinearized Hill's differential equation, and it is useful to establish a convenient analytical method for the estimation of stability and step response, even if they are approximate. In this paper, (1) the equivalent nonlinear time-varying gain element for the estimation of stability, and (2) the equivalent nonlinear gain element for that of step response are defined and applied, based on the approach similar to the describing function method. The results of analysis by this method satisfactorily agreed with those by the analog computer.
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  • [in Japanese]
    1967 Volume 3 Issue 4 Pages 347
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
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  • [in Japanese]
    1967 Volume 3 Issue 4 Pages 347a-348
    Published: December 30, 1967
    Released on J-STAGE: March 27, 2009
    JOURNAL FREE ACCESS
    Download PDF (230K)
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