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Automatic Control, IRE Transactions on

Issue 3 • Date September 1961

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  • [Front cover and table of contents]

    Publication Year: 1961 , Page(s): 0
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  • The issue in brief

    Publication Year: 1961 , Page(s): 250
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  • Correction to "Automatic control of three-dimensional vector quantities"

    Publication Year: 1961 , Page(s): 341
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  • Additions to "Notes on the stability criterion for linear discrete systems"

    Publication Year: 1961 , Page(s): 342 - 343
    Cited by:  Papers (10)
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  • Discussion of "Optimization based on a square-error criterion with an arbitrary weighting function"

    Publication Year: 1961 , Page(s): 346 - 348
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  • Comments on "Mathematical aspects of the synthesis of linear minimum response-time controllers

    Publication Year: 1961 , Page(s): 349 - 350
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  • Comment on "An optimal strategy for a saturating sampled-data system"

    Publication Year: 1961 , Page(s): 350 - 351
    Cited by:  Papers (14)
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  • [Back cover]

    Publication Year: 1961 , Page(s): 0
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  • Russian contributions to control theory

    Publication Year: 1961 , Page(s): 349
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  • On third-order time-optimal control systems

    Publication Year: 1961 , Page(s): 352 - 354
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  • s -plane design of compensators for feedback systems

    Publication Year: 1961 , Page(s): 333 - 340
    Cited by:  Papers (4)
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    The poles and zeros of a compensator affect the s -plane gain and phase of the open-loop system at every point in the s -plane. These effects are studied for open-loop poles and zeros on the negative real axis, and a family of curves summarizes the results. A design technique is developed which permits compensation design to satisfy simultaneous specifications of root location and system gain. The method clearly defines the minimum number of compensator sections required and leads to a logical interpretation of relative needs for phase-lead and phase-lag compensators. View full abstract»

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  • Composite flow-graph technique for the solution of multiloop, multisampler sampled systems

    Publication Year: 1961 , Page(s): 343 - 344
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  • Signal stabilization of self-oscillating systems

    Publication Year: 1961 , Page(s): 319 - 325
    Cited by:  Papers (4)
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    The hunt (self-oscillations) of a physical system may often be removed by the introduction of an appropriate stabilizing signal which changes the open loop gain in a nonlinear manner. More generally, the performance of nonlinear systems in many cases may be improved by the introduction of extra signals. The theory of signal stabilization developed here extends the earlier work by Oldenburger and Liu involving an equivalent gain concept. It is shown that with the aid of the Fourier series the designer can determine the periodic signal to be inserted at one point in a loop to yield a desired stabilizing input to a nonlinear element in the loop. The use of sinusoidal and triangular inputs to a limiter are compared. An example where a limiter is the only nonlinearity is employed to illustrate the theory. The approach developed here explains experimental results previously reported by Oldenburger. View full abstract»

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  • Analysis of pulse-width-modulated control systems

    Publication Year: 1961 , Page(s): 283 - 292
    Cited by:  Papers (8)
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    Previous work on the analysis and design of pulse-width-modulated control systems is reviewed, and the limitations of some of the earlier contributions are discussed. A mathematical development of an orderly and relatively simple method for the exact determination of the response of closed-loop pulse-width-modulated control systems to arbitrary input is then presented. Through the use of difference equations and the separation of linear and nonlinear terms, the output at the sampling instants is expressed as a function of the sampled error, and z -transform theory is then employed to obtain an exact solution for the error at the sampling instants. A technique for studying the stability and other performance characteristics of pulse-width-modulated feedback systems is next presented. The exact method of analysis developed earlier and a modified describing-function technique are utilized together to investigate stability without overlooking pulse-width saturation. Three illustrative examples are also presented to demonstrate the relative simplicity of the methods described in the paper as well as the accuracy of the results obtained by the use of these methods. View full abstract»

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  • Integral transforms for a class of time-varying linear systems

    Publication Year: 1961 , Page(s): 311 - 318
    Cited by:  Papers (2)
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    This paper presents an extension of the transform method to systems having parameters which vary with time. By using the general λ domain approach suggested by Zadeh for the analysis and synthesis of linear time-varying systems, a system function H(\lambda ) independent of time may be defined for the linear system. Such a system function has many of the advantages of that obtained for stationary systems using the Laplace transformation. By making H(\lambda ) a ratio of polynomials in the complex variable λ the pole-zero synthesis technique used for fixed systems may be applied to the time-varying case as well. Recently, a "building block" for the synthesis of a class of time-varying systems was suggested by Kilmer and Johnson. A similar building block for systems with exponentially varying coefficients is suggested in this paper. View full abstract»

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  • Controlled camping or USSR in heterospect

    Publication Year: 1961 , Page(s): 354 - 359
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  • Effects of quantization on feedback systems with stochastic inputs

    Publication Year: 1961 , Page(s): 292 - 305
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    An approximate analysis of the effects of quantization in a feedback system is made. The system input is a Gaussian random signal. The error autocorrelation as a function of the quantizer box size is the goal of the analysis. The approximation lies in the assumption that certain error joint distributions are Gaussian. In the limit as the quantizer box size approaches zero, these distributions do become Gaussian. On the basis of the approximation, a nonlinear integral equation relating the error autocorrelation to the system parameters is developed. An iteration procedure for successive approximations to the solution is outlined, and several examples are presented. Finally, experimental results obtained on a digital computer are shown. View full abstract»

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  • Minimizing effects of disturbing signals through a minimum square-error criterion

    Publication Year: 1961 , Page(s): 306 - 311
    Cited by:  Papers (1)
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    One of the reasons for using feedback is the improvement in the rejection of disturbing signals. This improvement can be obtained through an analytical design utilizing as a performance index the integral square-error criterion. In the usual technique the sum of the command signal plus the disturbing signal transferred to the input of the system is used as the input signal. When this is done, one of the two compensating transfer functions (for the particular case of a system with two degrees of freedom) has to be fixed arbitrarily. Then the optimum over-all transfer function, which minimizes the integral of the square of the error between the desired output and the actual one, is calculated and thus the remaining compensator can be obtained. As the technique does not provide a method for determining one of the compensators, and the transferred disturbing signal is a function of this compensator, a required rejection of the disturbing signal may not be satisfied. The purpose of the present paper is to suggest an analytical technique for determining both of the two compensators which have the minimum bandwidth necessary to satisfy a desired over-all transfer function and a required rejection of a disturbing signal. In addition, the technique provides physically realizable compensating transmissions. View full abstract»

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  • On the time-optimal regulation of plants with numerator dynamics

    Publication Year: 1961 , Page(s): 351 - 352
    Cited by:  Papers (3)
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  • The sensitivity problem in sampled-data feedback systems

    Publication Year: 1961 , Page(s): 251 - 259
    Cited by:  Papers (3)
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    This paper is devoted to a discussion of the effect of parameter variations on the system response in sampled-data feedback systems. It is shown that in any single degree of freedom feedback configuration, the system response and especially its overshoot are inherently very sensitive to parameter variation. By means of a suitable transformation, the properties of the sensitivity function can be studied in terms of the usual continuous system frequency concepts, e.g., bandwidth and loop transmission shaping on the Bode plane. There is a basic limitation on the loop transmission bandwidth that can be obtained in any sampled-data feedback configuration. This limitation makes it impossible to secure the unlimited sensitivity reduction which is theoretically available in minimum phase continuous systems. It is shown how one must achieve a compromise between the values of the sampling period, the system response, and the sensitivity function. The design procedure is illustrated in detail with a numerical design problem in which there is substantial parameter variation. View full abstract»

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  • Stability and graphical analysis of first-order pulse-width-modulated sampled-data regulator systems

    Publication Year: 1961 , Page(s): 276 - 282
    Cited by:  Papers (9)
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    Pulse-width-modulated sampled-data systems are described by nonlinear difference equations which do not lend themselves to an exact analytic treatment. This paper presents a graphical technique for the analysis of PWM sampled-data systems with first-order plants. This technique provides a sufficient condition for asymptotic stability in the large, a method for examining the damping properties of the system, a method for computing the step response from any initial condition and, finally, a method for observing and interpreting the effect of varying the system parameters on the step response of the system. View full abstract»

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  • Stability conditions of pulse-width-modulated systems through the second method of Lyapunov

    Publication Year: 1961 , Page(s): 266 - 276
    Cited by:  Papers (10)
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    PWM systems contain inherent nonlinearities which arise from their modulation scheme. Thus, for a legitimate study of stability, such systems must be treated as nonlinear sampled-data systems without initially resorting to linear approximations. For a nonlinear system whose dynamic behavior is described by a set of first-order difference equations, one of the theorems in the second method of Lyapunov gives, as a sufficient condition for asymptotic stability in the large, the existence in the whole space of a positive-definite Lyapunov's function V , whose difference \Delta V is negative definite. Hence, by choosing a positive-definite quadratic form as V , the sufficient condition is reduced to the negative-definiteness in the whole space of \Delta V . Upon this basis, a systematic procedure of obtaining analytically a sufficient condition for asymptotic stability in the large is developed for various types of PWM systems; the condition is stated as the negativeness of all the eigenvalues of three matrices associated with the PWM system. View full abstract»

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  • Operational analysis of finite-pulsed sampled-data systems

    Publication Year: 1961 , Page(s): 344 - 346
    Cited by:  Papers (1)
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  • Perturbation approach to the response of a control system

    Publication Year: 1961 , Page(s): 361 - 362
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  • Rising costs--Increased service

    Publication Year: 1961 , Page(s): 249
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Aims & Scope

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The latest title for this publication is IEEE Transactions on Automatic Control.

 

This Transactions ceased publication in 1958. The current retitled publication is IEEE Transactions on Automatic Control.

Full Aims & Scope