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Automatic Control, IEEE Transactions on

Issue 2 • Date April 1966

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Displaying Results 1 - 25 of 65
  • [Front cover and table of contents]

    Publication Year: 1966 , Page(s): 0
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  • On "Mean-square reconstruction error"

    Publication Year: 1966 , Page(s): 324 - 325
    Cited by:  Papers (1)
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  • Comments on "Upper bound on dynamic quantization error in digital control systems via the direct method of Liapunov"

    Publication Year: 1966 , Page(s): 331 - 334
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  • Comment on "The frequency domain solution of regulator problems

    Publication Year: 1966 , Page(s): 334
    Cited by:  Papers (1)
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  • Astronautical guidance [Book Reviews]

    Publication Year: 1966 , Page(s): 336 - 337
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  • [Back cover]

    Publication Year: 1966 , Page(s): 0
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  • On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity

    Publication Year: 1966 , Page(s): 228 - 238
    Cited by:  Papers (329)
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    The object of this paper is to outline a stability theory for input-output problems using functional methods. More particularly, the aim is to derive open loop conditions for the boundedness and continuity of feedback systems, without, at the beginning, placing restrictions on linearity or time invariance. It will be recalled that, in the special case of a linear time invariant feedback system, stability can be assessed using Nyquist's criterion; roughly speaking, stability depends on the mounts by which signals are amplified and delayed in flowing around the loop. An attempt is made here to show that similar considerations govern the behavior of feedback systems in general-that stability of nonlinear time-varying feedback systems can often be assessed from certain gross features of input-output behavior, which are related to amplification and delay. This paper is divided into two parts: Part I contains general theorems, free of restrictions on linearity or time invariance; Part II, which will appear in a later issue, contains applications to a loop with one nonlinear element. There are three main results in Part I, which follow the introduction of concepts of gain, conicity, positivity, and strong positivity: THEOREM 1: If the open loop gain is less than one, then the closed loop is bounded. THEOREM 2: If the open loop can be factored into two, suitably proportioned, conic relations, then the closed loop is bounded. THEOREM 3: If the open loop can be factored into two positive relations, one of which is strongly positive and has finite gain, then the closed loop is bounded. Results analogous to Theorems I-3, but with boundedness replaced by continuity, are also obtained. View full abstract»

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  • On the optimum sampling rate for discrete-time modeling of continuous-time systems

    Publication Year: 1966 , Page(s): 288 - 290
    Cited by:  Papers (5)
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    The sensitivity effect in the discrete-time modeling of continuous-time systems in digital identification schemes is considered as a function of the sampling interval T . It is shown that the common assumption that the higher the sampling rate the better a discrete-time model represents a continuous-time system is not true in general. Rather, it is shown that an optimum sampling rate exists which minimizes the effect of estimation errors, Experimental results are presented which confirm the existence of this optimum sampling interval. Close confirmation is found between the theoretically predicted optimum sampling interval and the experimental results. View full abstract»

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  • Optimal control with bounded control effort

    Publication Year: 1966 , Page(s): 311
    Cited by:  Papers (1)
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  • A note on the generalized Nyquist criterion

    Publication Year: 1966 , Page(s): 317
    Cited by:  Papers (2)
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  • Root locus analysis of a high-gain linear system with variable coefficients; Application of Horowitz's method

    Publication Year: 1966 , Page(s): 255 - 263
    Cited by:  Papers (1)
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    An extension of Horowitz's root-locus compensation design method is presented for analyzing and designing a high-gain linear system having variable coefficients. Rules for positioning the far-out poles of such a system based upon known specifications are established. These rules, when applicable, permit a high-gain system capable of handling large variations in the loop gain parameter to be successfully designed. View full abstract»

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  • Experimental study of phase-angle controlled magnetic amplifier

    Publication Year: 1966 , Page(s): 264 - 272
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    Magnetic amplifiers can be rendered phase sensitive with the aid of phase-sensitive rectifiers [1]. In the present study phase sensitivity was effected directly, without recourse to an additional device with a phase-sensitive characteristic. It is shown that conventional two-core amplifiers, with one load winding and one control winding only on each core, are made phase sensitive by application of a phase-dependent ac rectified signal. Experiments were carried out with a signal derived from supply voltage for the load circuit and obtainable from any phase-shifting device (selsyn, resolver). In conjunction with the even-harmonic voltage produced at the control-coil terminals by the nonlinearity of the core characteristic, it results in phase-angle dependence of the even harmonic no-load voltage. Intrinsic feedback on the control side (and in certain cases feedback from the load circuit) gives the amplifier its phase-angle dependent current characteristic. If a pair of identical amplifiers are used with the control signal originating from different phases, zero current and phase reversal are obtainable at the output. Similarly, dc output with a directional characteristic is obtainable by transferring the load to the control circuit and connecting the load circuit of the two amplifiers to different phases of the supply source, the signal source being single-phase in this case. Load feedback, added to the intrinsic feedback of the control side, permits a current jump at a certain predetermined phase angle, so that the system operates like a switch; this jump can be reversed by opening the load feedback circuit. In the Appendix, an approximation is derived for the even-harmonic no-load voltage as function of the phase angle of the signal. This can be used as Thévenin voltage, and the calculation continued in the conventional way [2], [3]. View full abstract»

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  • Investigation of worst-case errors when inputs and their rate of change are bounded

    Publication Year: 1966 , Page(s): 296 - 300
    Cited by:  Papers (7)
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    The worst-case error analysis is extended to include the problem of bounded input r(t) and its rate of change dr/dt for a a dynamical system described by a set of differential equations with separable forcing function. The problem is reformulated as a bounded-input, bounded-state variable problem, and Pontryagin's Maximum Principle is applied to maximize a given error function. For a wide class of systems, the time derivative of the worst forcing function is shown to be "bang-bang" for the open region defined by the constraint of r(t) and zero on its boundary. A computational algorithm is developed to solve the resulting two-point boundary value problem. View full abstract»

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  • On the stability of a zero-output system

    Publication Year: 1966 , Page(s): 315 - 316
    Cited by:  Papers (5)
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  • A set of stability constraints on the denominator of a sampled-data filter

    Publication Year: 1966 , Page(s): 327 - 328
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  • On some results in random pulse trains

    Publication Year: 1966 , Page(s): 331
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  • Sensitivity of discrete systems to variation of sampling interval

    Publication Year: 1966 , Page(s): 284 - 287
    Cited by:  Papers (9)
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    The purpose of this paper is to extend the methods of sensitivity analysis to discrete systems, with major emphasis on the determination of the effects of perturbations in sampling frequency on system performance. A method for the derivation of a sensitivity difference equation is presented. The method is applied to the study of both local effects (i.e., effects upon the next sampled value) and global effects (i.e., effects upon the entire solution sequence). The global sensitivity function is applied to extrapolation of system performance. The local sensitivity function is used as a basis for the synthesis of a discrete system with an adaptive sampling control law. View full abstract»

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  • A note on stablility and design of interacting multivariable control systems

    Publication Year: 1966 , Page(s): 314 - 315
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  • A trainable nonlinear function generator

    Publication Year: 1966 , Page(s): 212 - 218
    Cited by:  Papers (3)  |  Patents (1)
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    Trainable threshold logic elements have been used in the adaptive pattern recognition field to design linear classifiers for patterns of binary variables. This paper shows how one of these trainable linear devices can be used to implement a trainable non-linear function generator. A trainable function generator is similar in function to the spatial function generators found in analog computers except that the coefficients of its function are set in an iterative "training" procedure instead of being predetermined in the design stage. The primary application of the trainable function generator, to date, has been in the real-time design of nonlinear pattern classification devices, therefore, the use of the trainable function generator as a nonlinear discriminant function in pattern classification is emphasized. It is demonstrated that in the implementation of the trainable function generator it is highly advantageous to use what has been defined as a linearly independent code to represent the analog pattern parameters as binary patterns for the threshold element. When a linearly independent code is used, a linear threshold element in a trainable function generator can be used to "learn" nonlinear discriminant functions just as it is used to learn linear discriminant functions. View full abstract»

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  • Bilinear transformation for sampled-data systems

    Publication Year: 1966 , Page(s): 329 - 330
    Cited by:  Papers (1)
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  • On the fuel-optimal singular control of a system having quadratic and linear friction

    Publication Year: 1966 , Page(s): 307 - 308
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  • On the maximum priciple for nonlinear discrete-time systems

    Publication Year: 1966 , Page(s): 273 - 274
    Cited by:  Papers (7)
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    It was shown in a previous paper that Halkin's maximum principle for difference equations linear in the state could be generalized by relaxing a convexity requirement to directional convexity. We show here that Halkin's results for difference equations not necessarily linear in the state may also be generalized. The new proof uses some rather simple arguments. The proof is based on a condition characterizing the optimal solution. This condition may be used to strengthen the maximum principle in the abnormal case. View full abstract»

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  • Implementation of optimum sampled-data control

    Publication Year: 1966 , Page(s): 274 - 277
    Cited by:  Papers (1)
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    This paper is a brief description of the development of simple hybrid sampled-data controllers. The control function generated is amplitude-constrained and is approximately optimum with respect to a given quadratic performance index. The plant controlled is linear with accessible state variables and is sampled with constant period. An optimum controller for a free-terminal-state plant is designed. Quasi-optimum controllers for a fixed-terminal-state plant are designed and tested. The third-order plant 1/[s(s+0.2)(s+1)] is simulated on an analog computer and controlled by each of the quasi-optimum controllers. View full abstract»

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  • Stability of linear systems with transport lag

    Publication Year: 1966 , Page(s): 247 - 254
    Cited by:  Papers (10)
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    A method is presented whereby the absolute and relative stability of linear control systems containing transport lag or distributed lag can be determined. The method utilizes a variation of the generalized parameter plane technique as developed by D. D. S̆iljak and all results are in terms of two free system parameters. An example of a particular system with transport lag is analyzed. In the example, the system stability is analyzed with respect to the simultaneous variation of a controller gain and time constant. View full abstract»

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  • Extremum control of continuous systems

    Publication Year: 1966 , Page(s): 182 - 189
    Cited by:  Papers (4)  |  Patents (1)
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    An extremum control system is considered which consists of the following in cascade: an integrator, a function of the parabolic type and a first-order system. A method is presented for determining and maintaining the extremum in the presence of disturbances. The method suggested consists of perturbing the system input, then using the discontinuities in an appropriate derivative of the system output to determine the extremum. The advantage gained is speed in identifying the extremum independent of the initial conditions. Analog and digital computer results are given. View full abstract»

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In the IEEE Transactions on Automatic Control, the IEEE Control Systems Society publishes high-quality papers on the theory, design, and applications of control engineering.  Two types of contributions are regularly considered

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Editor-in-Chief
P. J. Antsaklis
Dept. Electrical Engineering
University of Notre Dame