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Automatic Control, IEEE Transactions on

Issue 4 • Date August 1975

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Displaying Results 1 - 25 of 45
  • [Front cover and table of contents]

    Page(s): 0
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    Freely Available from IEEE
  • Awards

    Page(s): 453
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    Freely Available from IEEE
  • Comments on "Luenberger's canonical form revisited

    Page(s): 558 - 559
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    The purpose of this note is to point out an error in the proof of the main result given in the above paper. View full abstract»

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  • Author's reply

    Page(s): 559
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    First Page of the Article
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  • Author's reply

    Page(s): 582
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    First Page of the Article
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  • Stochastic economics [Book Reviews]

    Page(s): 583 - 585
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    Freely Available from IEEE
  • Frequency domain criteria for absolute stability [Book Reviews]

    Page(s): 583
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    Freely Available from IEEE
  • [Back cover]

    Page(s): 0
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    Freely Available from IEEE
  • On the computation of Routh canonical form of a Hessenberg matrix

    Page(s): 571 - 572
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    An algorithm is developed to generate a class of nonsingular matrics that transform a given nonderogatory Hessenberg matrix to its Routh canonical form by similarity, when the latter exists. View full abstract»

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  • Parallel computation in linear discrete filtering

    Page(s): 573 - 575
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    Friedland's algorithm for decoupling the bias estimate in the linear optimal filtering is extended to the decoupling of the randomly varying bias terms. View full abstract»

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  • On the determination of an on-demand policy for a multilayer control system

    Page(s): 464 - 472
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    The cost-performance tradeoff problem associated with a multilayer control system for controlling a class of static, nonlinear, multivariable systems is considered. The multilayer control system has a number of layers of control functions each of which updates different subsets of the control variables at different costs. A favorable cost-performance tradeoff is achieved by determining at each control decision time which subset of the control variables is to be updated. In this paper, we present a mathematical model which describes the operation of the multilayer control system. Also we show that the problem of determining a decision rule (policy) which results in an optimal cost-performance tradeoff can be formulated as a problem in Markovian decision processes. Consequently, an optimal policy can be identified by solving a linear program. In order to reduce the computational effort required for identifying the optimal policy, a class of parameterized policies is introduced based on a measure of deviation of the disturbance. This approach provides a designer with a practical method of determining a control policy which achieves a favorable cost-performance tradeoff. An example is given for demonstrating a possible application to process control. View full abstract»

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  • On the relationship between bilinear and quadratic systems

    Page(s): 567 - 568
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    This correspondence shows how to model a quadratic differential system as a bilinear system with linear feedback. View full abstract»

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  • Some properties of extremal solutions of zero-sum differential games

    Page(s): 575 - 577
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    Necessary conditions for infinite-time linear-quadratic two-player differential games with perfect state information are examined in the light of Willems' work on the algebraic Riccati equation [1]. Necessary conditions for the nonzero-sum game do not always reduce precisely to those of the zero-sum game, when the weighting parameters of the cost index are taken as those of a zero-sum game. Formulation of zero-sum game problems in extended L2-spaces reveals the existence of nonstabilizing but infimal controls, and explicit frequency-domain conditions for existence of solutions and stabilizing solutions are established through the algebraic Riccati equation (ARE). View full abstract»

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  • On identifying stochastic closed-loop systems

    Page(s): 553 - 555
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    The identification of closed-loop feedback systems having a white or colored stochastic input and a feedback structure is discussed for cases with and without measurement noise. It is shown that a consistent identification scheme can be obtained for the above cases. View full abstract»

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  • Oscillation criteria of the Popov type

    Page(s): 577 - 579
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    Criteria of the Popov type are established for the existence of periodic motion in state space for a class of time invariant, autonomous, nonlinear feedback systems. In a restricted sense they constitute an extension of a previously obtained result [1]. View full abstract»

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  • New equations for the time-dependent regulator problem

    Page(s): 558
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    This correspondence presents a derivation of an alternate set of equations for determination of the optimal feedback gain matrix for the time-dependent linear regulator problem. In contrast to the usual Riccati equation approach, the new system is composed of onlynmequations, wheremis the number of systems input terminals. As payment for this reduction in number of equations, however, the new system is not entirely general, being restricted to constant control matricesG, with arbitrary dynamics and cost matricesFandQ, respectively. View full abstract»

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  • A note on Aizerman's conjecture for third-order systems

    Page(s): 552 - 553
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    In a recent paper [3], a condition has been obtained for the verification of Aizerman's conjecture for a large class of third-order systems. The present correspondence supplements this by considering some particular cases omitted by [3] and shows that in one case the above mentioned condition fails to hold. View full abstract»

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  • Minimal partial realizations in a canonical form

    Page(s): 529 - 533
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    A canonical realization for a partial sequence of real, constant matrices is obtained by identifying the system invariants defined by Popov [11]. Further, the case where the resulting realization must also be stable is considered. The example used by Tether [5] is solved, and the results compared with those of Tether [5] and Ackermann [12]. View full abstract»

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  • The numerical solution of X = A_{1}X + XA_{2} + D, X(0) = C

    Page(s): 566 - 567
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    The numerical solution of the general matrix differential equationdot{X} = A_{1}X + XA_{2} + D, X(0) = CforXis considered where A1and A2are stable matrices. The algorithm proposed requires only8n^{2}words of memory (for largen) and converges in approximately50n^{3} mus where μ is the multiplication time of the digital computer, andn = max(n_{1},n_{2})whereA_{1} in R^{n_{1} times n_{1}} , A_{2} in R^{n_{2} times n_{2}}. The algorithm is particularly suitable for systems wherenis large (e.g,n gg 10). View full abstract»

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  • Describing functions revisited

    Page(s): 473 - 478
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    The well-known graphical describing function procedure can be simply modified to provide a completely reliable method for predicting whether or not certain kinds of nonlinear feedback system can oscillate. The modified method is easy to use and quantifies, in a natural way, the usual intuitive ideas about describing function reliability. In addition to the usual graphs, the user has to draw a band which measures the amount of uncertainty introduced by the approximations inherent in the method; in return for this extra work, the method gives error bounds for oscillation predictions, as well as ranges of frequency and amplitude over which oscillation is impossible. The main restriction is that the nonlinear element must be single valued and have bounded slope. View full abstract»

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  • Square-root algorithms for least-squares estimation

    Page(s): 487 - 497
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    We present several new algorithms, and more generally a new approach, to recursive estimation algorithms for linear dynamical systems. Earlier results in this area have been obtained by several others, especially Potter, Golub, Dyer and McReynolds, Kaminski, Schmidt, Bryson, and Bierman on what are known as square-root algorithms. Our results are more comprehensive. They also show bow constancy of parameters can be exploited to reduce the number of computations and to obtain new forms of the Chandrasekhar-type equations for computing the filter gain. Our approach is essentially based on certain simple geometric interpretations of the overall estimation problem. One of our goals is to attract attention to non-Riccati-based studies of estimation problems. View full abstract»

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  • A synthesis theory for linear time-varying feedback systems with plant uncertainty

    Page(s): 454 - 464
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    Given a feedback system containing a linear, time-varying (LTV) plant with significant plant uncertainty, it is required that the system response to command and disturbance inputs satisfy specified tolerances over the range of plant uncertainty. The synthesis procedure guarantees the latter satisfied, providing that they are of the following form. Leth(t',tau)be the system response att'= t - taudue to a command inputdelta(t - tau), andh_{tau}(s)=int liminf{0}limsup{infty}h(t',tau)e^-{st'}dt'is the Laplace transform ofh(t',tau). There is given a setM_{tau}(omega)={m_{tau}(omega)} , omega in[0, infty), with the requirement that|h_{tau}(jomega)| in M_{tau}(omega), over the range of plant uncertainty. The disturbance response tolerances are of the same form, in response to a disturbance inputdelta (t- tau). The acceptable response setM_{tau}(omega)can depend on τ. The design emerges with a fixed pair of LTV compensation networks and can be considered applicable to time-domain response tolerances, to the extent that a set of bounds on a time function can be translated into an equivalent set on its frequency response. The design procedure utilizes only time-invariant frequency response concepts and is conceptually easy to follow and implement. At any fixed τ, the time-varying system is converted into an equivalent time-invariant one with plant uncertainty, for which an exact solution is available, with "frozen" time-invariant compensation. Schauder's fixed-point theorem is used to prove the equivalence of the two systems. The ensemble over τ of the time-invariant compensation gives the final required LTV compensation. It is proven that the design is stable and nonresonant for all bounded inputs. View full abstract»

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  • On the design of observers with specified eigenvalues

    Page(s): 568 - 570
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    This correspondence considers the problem of designing an observer with specified distinct eigenvalues to estimate a set of linear state functionals for a linear multivariable system. The conditions given for the design of anrth-order observer, wherer leq nu_{0} - 10is the observability index), represent an extension of the results of Murdoch [3] and Fortmann and Williamson [2]. The conditions are based on the assumption that the observer eigenvalues are distinct from those of the plant. View full abstract»

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  • Stabilization of linear systems by constant output feedback using the Riccati equation

    Page(s): 556 - 557
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    Based on the minimization of a quadratic cost functional and application of the Riccati equation, a method for calculation of constant, stabilizing output feedback gains for linear multivariable systems is given. 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