計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
11 巻, 2 号
選択された号の論文の21件中1~21を表示しています
  • 松本 隆
    1975 年 11 巻 2 号 p. 125-131
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    This paper discusses conditions under which the state equations of large scale systems are uniquely determined and have well defined solutions. Usually the state equations of large scale systems must satisfy differential equations and algebraic equations simultaneously. Hence the problem is reduced to the solvability of differential-algebraic equations. The paper also discusses the effects of differential-algebraic equations on the optimization of large scale systems. A certain matrix plays an important role, and a generalized implicit function theorem which allows discontinuity turns out to be useful.
  • 高森 年, 米持 政忠
    1975 年 11 巻 2 号 p. 132-137
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    This paper presents a method of compensating for a distorted low-pass filter characteristic, which a previous paper pointed out. The method is based on a circuit realization from a predistorted transfer function S(s-d), in which the zeros of the original transfer function S(s) are shifted to the right by d. (d: losscoefficient) The loss-coefficient for fluidic circuits is determined from the value of the series loss element and from analytical calculations using a distributed constant theory.
    The experimental results showed that the characteristics of pneumatic filters compensated by this method agreed well with the desired characteristics, especially in the case of the loss-coefficient determined from the analytical calculations.
  • 川島 弘尚
    1975 年 11 巻 2 号 p. 138-144
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In this paper the existence and uniqueness theorems are derived for the equation describing a feedback system consisting of a nonlinear element f and a linear element g which involves the unit step function and the delta functional with its derivatives. The conditions of the theorems are easily verified in the frequency domain using the locus which is defined by the Fourier transform of the linear element. The essential part of the method in the theorems is to transform the distributional equation to an ordinary nonlinear Volterra type integral equation and apply the known theorems of the integral equations to the equation obtained by the transformation.
  • 大下 真二郎, 森永 規彦, 滑川 敏彦
    1975 年 11 巻 2 号 p. 145-151
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    The general expressions of the autocorrelation function and the output SNR of a photodetector are derived for a coherent laser either amplitude of intensity modulated by a stationary Gaussian random modulating signal in the presence of background light. Two types of the modulationg signal are considered: the baseband and the bandpass modulating signals. The effects of the center frequency of the modulating signal, the modulation degree, the effective average quantum rate, the wave interaction noise, the shot noise, the modulation method, and the input CNR on the output SNRs are discussed. It is shown that the output SNRs increase as the modulation degree, the effective average quantum rate. and the input CNRs become large. The bandpass modulating signal is better than the baseband modulating signal when the effective average quantum rate and input CNRs are large.
    It is also shown that the intensity modulation is superior to the amplitude modulation only for the baseband modulating signal case with large effective average quantum rate and large input CNR. This paper gives results useful for the field of laser communication.
  • 多目的システムの最適化手法
    志水 清孝, 日吉 茂樹, 広瀬 正
    1975 年 11 巻 2 号 p. 152-159
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    Optimization algorithms for multiple objective systems, in which there exist plural independent objective functions, are studied. Several algorithms for the unique solution to the multiple objective programs are proposed by introducing the concepts of satisfaction condition and the preference order among objective functions and by extending nonlinear programming procedures (the method of centers, the method of feasible directions). The solutions obtained are proved to satisfy Pareto optimality, which is no doubt a basic criterion, although it gives merely conservative rationality for vector minimization problems. The purpose of this paper is to develop new algorithms for the multiple objective programs.
  • 森 貞彦
    1975 年 11 巻 2 号 p. 160-167
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In order to examine the utility of the double diffraction interferometer (refer to Trans. SICE, Vol.8, No.2, 125/131, 1972), the wave aberrations arising from the longitudinal shift of the focus and/or from the third order spherical aberration at the zonular spatial frequency filter ware studied. The effect of these aberrations on the amplitude and phase of the reference light in the image plane were numerically obtained. The numerical results brought practically meaningful information, e.g.;
    (1) For a relatively large area to be apportioned to the object in a particular field of view and for high contrast of interferential fringes, the product of the propagation constant, the semiapex angle of the condensing flux, and the width of the filter should be from 3 to 8 (for zero spherical aberration) or slightly larger (for non-zero spherical aberration).
    (2) When the width and hight of an object were respectively a fifth and a half of the diameter of the field, spherical wave aberration is allowed up to about four wave lengths at the edge of the condenser lens.
    (3) By the spherical aberration, the optimum position of the filter is slightly shifted from the Gaussian plane toward the circle of minimum confusion.
    It was found also that the phase of the reference light can be easily and accurately adjusted by longitudinal displacement of the filter. This seemes to be an important characteristic of the double diffraction interferometer.
    Experimental work was carried out for verification of the above.
  • 坂和 愛幸, 松下 敏廣
    1975 年 11 巻 2 号 p. 168-174
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    This paper deals with the feedback stabilization of distributed-parameter systems of parabolic type and its application to constructing an observer for asymptotic state identification.
    It is shown that, when a controller (an observation) can be constructed arbitrarily, observability (controllability) of the system is necessary and sufficient for stabilizing the system so that it has an arbitrarily large damping constant. By applying the results of stabilization, it is possible to construct an observer, the output of which approaches the real state of the system asymptotically with an arbitrary convergence speed.
  • 明石 一, 今井 弘之
    1975 年 11 巻 2 号 p. 175-179
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In this paper, a passive adaptive control problem is considered from the Bayesian approach. It is shown that the problem can be understood as one of the special cases of a multi-stage decision problem with a non-classical information structure. A suboptimal passive adaptive control problem is formulated, and an algorithm which produces the passive adaptive control strategy is obtained, for the discrete time linear system with some unknown but constant parameters. A numerical example is presented.
  • 市川 邦彦
    1975 年 11 巻 2 号 p. 180-186
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    Dual, penalty and multiplier methods are typical methods for solving both equality-and inequality-constrained minimizing problems. The characteristics of these solution methods have not been very clear. A unified geometrical interpretation for these solution methods is given in this paper. The geometrical interpretation has sharpened the characteristics of each solution method. The following conclusion is obtained. The application of the dual method is in general limited to convex programming problems: the penalty method can be applied to nonconvex programming problems, but may suffer from computational instability; and the multiplier method is superir to the other two methods in that it can be applied to nonconvex programming problems without suffering from computational instability.
  • 1975 年 11 巻 2 号 p. 186
    発行日: 1975年
    公開日: 2009/03/27
    ジャーナル フリー
  • 田中 敬一, 黒沢 富蔵, 桜井 慧雄
    1975 年 11 巻 2 号 p. 187-192
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    Theoretical background and experimental results of a direct measurement of frequency fluctuation of a freely running He-Ne laser output (0.6328μm) are given.
    The He-Ne laser is designed and made for future use as a precision length standard. A tunable, confocal type, spherical mirror Fabry-Perot interferometer with a pass-band width of 7.5MHz is used as a frequency discriminator. The fluctuation of the laser frequency is analyzed by calculating the autocovariance and the power spectral density.
    The results show that the amplitude of the fluctuatuion has several peaks at about 0.2, 2.5, and 5.8Hz and has a standard deviation of ±300kHz. It is considered that the frequency fluctuatuin is mainly caused by resonance vibration of the vibration-damping table on which the experimental system was set up, and by dynamic variation of the air pressure.
  • 爰島 義昭, 花房 秀郎, 沢村 泰造
    1975 年 11 巻 2 号 p. 193-198
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In this paper, we will introduce an analytical aproach to characterize the behavior of the swirling annular jet in the vortex proximity sensor and to determine the pressure.
    First, knowing the strength of swirl and the annular width at the issue, we assume that the momentum and the angular momentum are conserved, the rate of increase of flow is proportional to the velocity on the main flow line, the pressure of the bubble is constant and acts perpendicularly to the main flow line, etc. Under these assumptions, the geometry of the main flow surface, the velocity decay and the increase of the annular width along it are described, though the pressure is unknown.
    Next, in order to determine the pressure, supposing a control volume enclosed by two concentric cylinders pancaking the annular jet and two planes with small angles to each other at the center line, then in this volume the radial components of the momentum are tested.
    Last, some numerical and experimental results are shown and discussed.
  • 藤川 英司, 示村 悦二郎
    1975 年 11 巻 2 号 p. 199-205
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In this paper, we discuss the problem of the optimal control for a quadratic performance index of a generalized linear system with time-delay. The optimal problem is formulated for a coupled system composed of a lumped parameter subsystem and a distributed parameter subsystem corresponding to a group of time-delay elements. This system includes not only an ordinary system with pure time delay, but also a wide class of distributed parameter systems which are described by first order partial differential equations. Optimal control is derived by applying the principle of optimality, and is given in the form of a linear combination of the states of both subsystems. The optimal feedback gains satisfy the system of Riccati type partial and ordinary differential equations.
    The numerical method for solving the obtained Riccati type differential equations is discussed. The partial differential operator is replaced by the difference operator to obtain a set of ordinary differential equations, which are integrated numerically by the Runge-Kutta method. From computational experience, it is expected that the dependence of the accuracy on the grid size is less than that of a conventional difference-difference equation method.
  • 鈴木 隆, 久保 英彦
    1975 年 11 巻 2 号 p. 206-213
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    This paper presents a design method for a model reference adaptive control system which can be applied to an unknown plant with zeros.
    In this method, the plant input is generated by an adaptive controller with variable parameters so that the plant output may closely approximate the desired response given by a reference model. In this case, the ord er of the reference model can be selected to be lower than the order n of the plant by at most the number m of the plant zeros. The number of variable parameters needed for generating the plant input is n+m+1 in total. A parameter adjusting rule of “integral+proportional+differential” type is derived, based on Popov's hyperstability theorem. In this rule, the integral term is required for guaranteeing the asymptotic stability of the adaptive system. The proportional and the differential terms are effective for improving the response characteristics of the system. But in practical application the differential term may be eliminated, because its effect is not as remarkable as that of the proportional term.
    This proposed method is applied to a sample system composed of a 3rd order plant and a 2nd order reference model, and the behavior of the adaptive system is investigated by computer simulation studies.
  • 向流形熱交換器の制御
    岡本 正昭, 島 公脩, 池田 三郎, 得丸 英勝
    1975 年 11 巻 2 号 p. 214-220
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In this paper is discussed the optimal flow-rate control problem of the counter current heat exchanger. This system is described by simultaneous partial differential equations of the first order. The control variable is the flow-rate of the heating fluid which appears bilinearly in the parameters of the equations. The performance index to be minimized is an integrated square error of the outlet temperature of the heated fluid. The initial and boundary conditions are assumed to be continuously differentiable with sufficiently small derivatives.
    Such a problem is solved by applying the Maximum Principle for distributed parameter systems derived by Sirazetdinov. On the assumption that the outlet temperature of the heated fluid is able to reach and maintain the desired value, the pattern of optimal control is Bang-bang control Singular control.
    The switching time for this pattern coincides with the time when the outlet temperature of the heated fluid attains the desired temperature. And the value of Singular control converges oscillatorily to the constant flow-rate for the stationary state with the new desired outlet temperature. The oscillation period is the residence time of the stationary state of the heated fluid.
    The method of analysis of this paper is applicable to the more general distributed parameter system described by simultaneous partial differential equations of the first order.
  • 佐野 昭
    1975 年 11 巻 2 号 p. 221-228
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    When we are to estimate the state of distributed parameter systems by measurement data from a finite number of measuring devices, it is desirable to choose the optimum location for the measuring devices so as to minimize the cost due to the estimation error. The optimum sensor location depends on statistical characteristics of disturbances which are unknown a priori.
    This paper proposes an adaptive algorithm for the measurement optimization available in a class of discrete-time distributed parameter systems subjected to unknown disturbance characteristics. We derive a recrrence form to compute both the time correlation and the space correlation of the innovation terms of the measurement data from a finite number of sensor locations. The adaptive algorithm utilizes the correlation from the moving average of the measurment data to estimate the disturbance characteristics.
    In particular, for a distributed parameter system disturbed at a finite number of unknown points as seen in atmospheric dispersion of stack effluents, we investigate analytically the optimum sensor location which minimizes the estimation error cost. Then we apply the adaptive algorithm to estimate unknown parameters such as disturbance point sources and variances. It is shown that the convergence of the adaptation may be improved by optimizing the sensor location.
  • 山浦 富雄, 小林 彬
    1975 年 11 巻 2 号 p. 229-233
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    As a practical application of optimal tracking control theory, the problem of sub-optimal tracking control locally utilizing the future values of the desired function is studied in the case of a linear system with a quadratic criterion. The optimality of the sub-optimal control system is expressed in simple inequalities.
    Those expressions show that the sub-optimal values of control input and criterion settle down to their optimal ones in exponential order of the eigenvalues of the transition matrix of the constructed closed-loop system.
    This means that the sub-optimal control which utilizes the future values of the desired function in the interval of the so-called time lag accompanied with the constructed feedback control system at every moment gives almost the same control as the globally optimal control in a practical sense.
    The simple inequalities obtained in this paper make it possible to determine reasonably the local interval of the desired function to be utilized and to estimate easily the optimality of the sub-optimal system to be realized.
  • 稲葉 博
    1975 年 11 巻 2 号 p. 234-238
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    The problem of determining the optimal impulsive guidance policy for an interplanetary spacecraft is studied. The problem is treated as a stochastic optimal control problem with control-dependent errors. The performance index gives an upper bound for the probability that the mission fails. The results obtained here are applied to a Jupiter planetary fly-by, and the numerical results indicate that consideration of the control dependent errors is considerably significant.
  • 北村 新三, 嘉納 秀明, 古城 満義, 西村 正太郎
    1975 年 11 巻 2 号 p. 239-244
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
    In process control, most heat exchangers are controlled by changing the flow-rate. The dynamical properties of such heat exchangers are described by a bilinear hyperbolic partial differential equation such that the system is linear in the state variable or linear in the control variable, but not linear in both.
    In this paper, several results of the stability properties of P and PI controlled heat exchangers described by scalar bilinear hyperbolic partial differential equations are presented. First it is shown that such a system may be considered as a nonlinear system with a statedependent variable time-delay. Then the conditions for the steady states to be unique are obtained. For the cases of both the P and PI control systems, the stability of the unique steady state is analyzed by linearization. From this result and from the boundedness of the solution, it is concluded that the unique steady state for the P control system is globally asymptotically stable, and that a stable limit cycle exists in the case of the PI control system if the unique steady state is not asymptotically stable. Actually the existence of the limit cycle is confirmed by using the method of harmonic balance.
  • 藤波 明平, 宇野 泰道
    1975 年 11 巻 2 号 p. 245-246
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
  • 黒沼 健, 金 台烋
    1975 年 11 巻 2 号 p. 247-248
    発行日: 1975/04/30
    公開日: 2009/03/27
    ジャーナル フリー
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