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IEEE Transactions on Automatic Control

Issue 3 • June 1970

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Displaying Results 1 - 25 of 44
  • [Front cover and table of contents]

    Publication Year: 1970, Page(s): 0
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  • Issue in brief

    Publication Year: 1970, Page(s):283 - 284
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  • On-off limit-cycle controllers for reaction-jet-controlled systems

    Publication Year: 1970, Page(s):285 - 299
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1922 KB)

    Analytical expressions have been obtained by Mendel [1] for performance cost functions that describe the behavior of a reaction-jet-controlled system during an on-off limit cycle. The cost functions are expressed in terms of the amplitudes of the limit-cycle switch statestheta_{s}anddot{theta}_{s}. No structure is assumed foru(t)in [1]. In this paper,u(t) View full abstract»

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  • Generalized pulse-modulated feedback systems: Norms, gains, Lipschitz constants, and stability

    Publication Year: 1970, Page(s):300 - 315
    Cited by:  Papers (52)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2234 KB)

    Sufficient conditions for the asymptotic stability in the large of pulse-modulated feedback systems are developed from the operator theoretic viewpoint. Stability here requires that the pulse-modulated feedback system be a Lipschitz continuous operator on the extended spaceL_{1e}. This strong definition of stability is motivated by an examination of a first-order pulsewidth-modulated sy... View full abstract»

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  • Input-output stability of linear time-invariant systems

    Publication Year: 1970, Page(s):316 - 319
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (528 KB)

    The Nyquist stability criterion and the notion of typensystems have been extended from lumped parameter systems to a larger class of linear single-loop single-input single-output time-invariant systems, with constraints presented in the text. View full abstract»

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  • Correlation measurement and identification--A novel approach

    Publication Year: 1970, Page(s):334 - 335
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (306 KB)

    A novel system is discussed for measuring the auto-correlationR(tau)of a random process. The system consists of a scaling device and a filter whose output equalsR(bt). Thus,R(tau)is determined not by a succession of discrete values but as a continuous signal in real time. It is also shown that the instrument can be used to determine the impulse responsey(t) View full abstract»

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  • Determination of reachable set for a linear discrete system

    Publication Year: 1970, Page(s):339 - 342
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (654 KB)

    An easily implemented method for obtaining the reachable setR_{N}, N > n, of annth-order discrete system with constraints on the input is described. This method uses elementary matrix calculations at each step to construct the boundary hyperplanes of the reachable set. The result can be applied to determine the minimum control time required for a given terminal state. If View full abstract»

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  • On pole assignment in linear systems with incomplete state feedback

    Publication Year: 1970, Page(s):348 - 351
    Cited by:  Papers (120)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (571 KB)

    The following system is considered:dot{x}= Ax + Buy = Cxwherexis annvector describing the state of the system,uis anmvector of inputs to the system, andyis anlvector (l leq n) of output variables. It is shown that if rankC = l, and if (A,B) are controllable, then a linear feedback of the o... View full abstract»

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  • A minimum-fuel mode for steady-state attitude control of an earth-orbiting spacecraft

    Publication Year: 1970, Page(s):362 - 365
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (662 KB)

    Steady-state reaction control of the attitude of a spacecraft in the presence of environmental disturbance torquesTis usually accomplished by using the thrusters to establish limit-cycle motion of acceptable amplitudes about all three axes. For such strategies, the greatest lower bound for the propellant consumption is proportional tointmin{t1}max{t2}|T|dt. The results presen... View full abstract»

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  • Minimum energy control of systems with time delay

    Publication Year: 1970, Page(s):365 - 368
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (499 KB)

    The problem of minimizing the cost functional corresponding to minimum control energyI = intmin{0}max{infty}u^{2} dtfor the linear system with delaydot{x}(t) = Ax(t) + Bx(t - h) + cu(t)is considered. From sufficient conditions for optimality, one obtains a set of algebraic equations. Numerical solution of these equations yields the optimal control law. View full abstract»

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  • A method to determine whether two polynomials are relatively prime

    Publication Year: 1970, Page(s):379 - 380
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (278 KB)

    In this paper, it is established that a necessary and sufficient condition for two monic polynomialsf(lambda)andg(lambda)to have a common root is thatdet [f(B)] = 0ordet [g(A)] = 0, whereAandBare, respectively, the companion matrices associated withf(lambda)andg(lambda). The simplicity of this method is illustr... View full abstract»

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  • Identifying solutions of distributed parameter systems by stochastic approximation

    Publication Year: 1970, Page(s):393 - 395
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (414 KB)

    First Page of the Article
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  • Comments on "Optimal feedback characteristics from stochastic automaton models"

    Publication Year: 1970, Page(s):403 - 404
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (361 KB)

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  • Comments on the review of state space analysis

    Publication Year: 1970, Page(s): 404
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (184 KB)

    First Page of the Article
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  • Introduction to the mathematical theory of control processes, Vol. I - Linear equations and quadratic criteria

    Publication Year: 1970, Page(s):406 - 407
    Cited by:  Papers (1)
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    Freely Available from IEEE
  • [Back cover]

    Publication Year: 1970, Page(s): 0
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  • On the optimality of the Wilkie-Perkins low-order sensitivity model

    Publication Year: 1970, Page(s):382 - 384
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (424 KB)

    Some comments on the low-order sensitivity model proposed by Wilkie and Perkins are presented. The structural controllability of this model and the analysis of its observability properties allow one to conclude that the model is optimum in the sense that no lower order sensitivity model exists that can generate all the state sensitivity functions for the class of systems for which the theory devel... View full abstract»

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  • Identification-adaptive quadratic-cost linear system control by mean and variance correction

    Publication Year: 1970, Page(s):397 - 398
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    The preceding correspondence [1] gives a technique for correcting the feedback control coefficients with each change (in the mean of the model) provided by concurrent system identification. The new result here is a similar technique that incorporates changes in both the mean and covariance of the system model. View full abstract»

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  • On the transient performance of a class of second-order limit-cycling control systems

    Publication Year: 1970, Page(s):376 - 378
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (448 KB)

    An approach is described for the study of the transient performance of a class of second-order limit-cycling control systems. The geometrical features of the problem are used to derive expressions relating the limit-cycle dimensions with the excess overshoot. An example of application is studied using this approach. View full abstract»

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  • An iterative procedure for the state estimation of a nonlinear discrete process

    Publication Year: 1970, Page(s):400 - 403
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (576 KB)

    The iterative procedure for the state estimation of a nonlinear discrete process is presented. The proposed method is proved to give the optimal estimate of the least-mean-square error criterion after infinite iteration for a class of optimal estimates. The calculation formula for the quadratic nonlinear process is presented to illustrate the procedure. In the formula, the coefficient of the itera... View full abstract»

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  • The application of specific optimal control to the design of desensitized model following control systems

    Publication Year: 1970, Page(s):326 - 333
    Cited by:  Papers (35)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (976 KB)

    The concepts of specific optimal control, trajectory sensitivity design, and perfect model following are integrated to develop a general design technique for the linear servo model following problem. Control laws designed by this procedure are characterized by partial state feedback, perfect model following when theoretically possible, relative insensitivity of the compensated plant to mathematica... View full abstract»

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  • A controllability criterion for stable linear systems

    Publication Year: 1970, Page(s):391 - 392
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    A well-known theorem in functional analysis is modified to provide a simple test for controllability of stable linear systems and a method for finding the subspace of reachable states in systems which are not controllable. The simplicity of application of the results presented is illustrated by an example. View full abstract»

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  • Differential games with open-loop saddle point conditions

    Publication Year: 1970, Page(s):320 - 325
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (824 KB)

    Zero-sum differential games are considered in which one or both of the players are restricted to use open-loop control. It is shown that the first-order necessary conditions for such problems are identical to the first-order necessary conditions for the usual form of a differential game, where both players use closed-loop control laws. An investigation of the conjugate point condition for a specia... View full abstract»

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  • Matched filters for system identification

    Publication Year: 1970, Page(s):398 - 399
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (272 KB)

    In this correspondence a new method is described for determining the impulse-response of an approximately linear system using the cross-correlation function between an input pseudorandom binary signal and the corresponding output signal of the system under study. A filter matched to a periodic pseudo-random binary signal is used to obtain the needed correlation function. View full abstract»

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  • A note on the dual input discrete describing function

    Publication Year: 1970, Page(s):375 - 376
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    The exact method of calculating the amplitude of the dither signal from the dual input discrete describing function (DIDDF) portrait is pointed out. It is shown that a previously established relationship between φ and the system under consideration considerably simplifies its application. Further, it is established that only half the range of φ need be considered for a particular period ... View full abstract»

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Aims & Scope

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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Meet Our Editors

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