IEEE Transactions on Automatic Control

Issue 2 • April 1981

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Displaying Results 1 - 25 of 98
  • [Front cover and table of contents]

    Publication Year: 1981, Page(s): 0
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    Freely Available from IEEE
  • Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses

    Publication Year: 1981, Page(s):301 - 320
    Cited by:  Papers (1176)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2114 KB)

    In this paper, the problem of sensitivity, reduction by feedback is formulated as an optimization problem and separated from the problem of stabilization. Stable feedback schemes obtainable from a given plant are parameterized. Salient properties of sensitivity reducing schemes are derived, and it is shown that plant uncertainty reduces the ability, of feedback to reduce sensitivity. The theory is... View full abstract»

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  • On feedback control systems with saturable drives and noisy measurements

    Publication Year: 1981, Page(s):321 - 331
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (973 KB)

    We present some intuitive results concerning the dynamic performance of a basic feedback control system (FBCS), as constrained by a peak-limited drive and noisy measurements. We use a frequency domain approach based on the signal-to-noise ratio (S/N) properties of the control loop rather than on the usual small signal transfer characteristics. The drive and noise constraints are introdu... View full abstract»

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  • Efficient multivariable frequency response computations

    Publication Year: 1981, Page(s):407 - 408
    Cited by:  Papers (52)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (248 KB)

    An efficient algorithm is presented for the reliable computation of frequency response matrices of the formP(jomegaI-A)^{-1}Q. Efficiency is achieved through an initial reduction ofAto upper Hessenberg formHso that (jomegaI-H) remains upper Hessenberg as ω is varied over a desired range. Linear systems with upper Hessenberg coefficient matrices can ... View full abstract»

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  • Design of multivariable feedback systems with stable plant

    Publication Year: 1981, Page(s):408 - 415
    Cited by:  Papers (45)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (763 KB)

    This paper considers, in a general algebraic framework, the design of a unity-feedback multivariable system with a stable plant. The method is based on a simple parameterization of the four closed-loop transfer functions in terms ofP, the plant transfer function, andQ=H_{y_{1}u_{1}}. In particular, the I/O transfer functionQ=H_{y_{2},u_{1}}=PQ. Using the framework ... View full abstract»

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  • On the structure of maximal(A, B)-Invariant subspaces: A polynomial matrix approach

    Publication Year: 1981, Page(s):422 - 428
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (617 KB)

    Given a controllable and observable triple (A, B, C) describing a linear time invariant multivariable system Σ, which gives rise to a full rank transfer function matrixT_{o}(s), the structure of the maximal (A, B)- invariant subspace contained inker Cis investigated using a polynomial matrix approach. Thus, certain connections between the geometric ... View full abstract»

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  • Brunovsky equivalence of system matrices: The reachable case

    Publication Year: 1981, Page(s):429 - 434
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (574 KB)

    The module-theoretic characterization of Brunovsky equivalence is extended from reachable pairs (A, B) to reachable system matricesleft(matrix{P&-QcrV&W}right).The transformations of strict system equivalence are generalized to polynomial Brunovsky transformations relating Brunovsky equivalent system matrices. View full abstract»

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  • On the choice of input for observability in bilinear systems

    Publication Year: 1981, Page(s):451 - 454
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (481 KB)

    For bilinear systems, observability is input dependent. This may cause problems when inputs are to be used for specific purposes (e.g., control/stabilization) while keeping the system observable. This paper may be considered as a first step towards a clarification of this situation. Specifically, it is shown that given any piecewise continuous inputuon an interval, there is a piecewise ... View full abstract»

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  • Edgeworth expansions in state perturbation estimation

    Publication Year: 1981, Page(s):493 - 498
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (553 KB)

    A formal asymptotic Hermite series expansion is developed for the conditional state density in a scalar estimation problem which differs from the standard Kalman filtering context only by the addition of a small quadratic term in the dynamicss. This case is one that might result from a higher order description of perturbations in a more general state estimation situation. The parameters of the exp... View full abstract»

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  • The asymptotic minimum variance estimate of stationary linear single output processes

    Publication Year: 1981, Page(s):498 - 504
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (641 KB)

    The problem of minimum error variance estimation of single output linear stationary processes in the presence of weak measurement noise is considered. By applyingsdomain analysis to the case of single input systems and white observation noise, explicit and simple expressions are obtained for the error covariance matrix of estimate and the optimal Kalman gains both for minimum- and nonmi... View full abstract»

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  • A more singular singularly perturbed linear system

    Publication Year: 1981, Page(s):507 - 510
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (411 KB)

    The singularly perturbed linear systemA(epsilon)dot{x}+B(epsilon)x=f(epsilon, t)is studied. The matrixA(epsilon)is allowed to be singular not only forepsilon=0, but forepsilon > 0. View full abstract»

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  • A condition for full zero assignment in linear control systems

    Publication Year: 1981, Page(s):519 - 521
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (321 KB)

    Not only 2npoles but alsonzeros can be assigned in linear control systems when state estimation is used to effect the feedback. It is shown here that the equations for assigning thesenzeros using this scheme are similar in structure to those found for pole assignment in the observer, but, in certain circumstances despite plant minimality, complete freedom in their ... View full abstract»

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  • Application of the parameter space method to aerospace vehicle digital control system design

    Publication Year: 1981, Page(s):530 - 534
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (522 KB)

    The parameter space method is a technique for determining stability, and dynamic characteristics of a control system in terms of several selected system parameters. The digital form of the technique requires that the system characteristic equation be available in the complexz-domain. The method is extended and applied to a model of a digitally controlled aerospace vehicle. View full abstract»

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  • Comments on decentralized state feedback stabilization

    Publication Year: 1981, Page(s):547 - 549
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (337 KB)

    The problem of decentralized stabilization of interconnected systems using state feedback is revisited. Various aspects of the problem are briefly discussed with examples. A conjecture, which is believed to provide sufficient conditions for decentralized stabilizability of interconnected systems is proposed along with the supporting reasons. View full abstract»

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  • Multidimensional maximum likelihood failure detection and estimation

    Publication Year: 1981, Page(s):567 - 570
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (307 KB)

    An algorithm for maximum likelihood failure detection and estimation is provided for multidimensional processes as an extension of the theory given in [1]. It is shown that failure identification is enhanced by selecting the observation matrixHto satisfy an orthogonality condition. View full abstract»

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  • The discrete Lyapunov equation in controllable canonical form

    Publication Year: 1981, Page(s):580 - 581
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (153 KB)

    A new method of treating Lyapunov equations is proposed. IfDandD^{-}are two self-adjoint one-dimensional matrices related in a certain way, thenX-C^{ast}XC=Dif and only ifX^{-1}-CX^{-1} C^{ast}=D^{-}. As an application, a generalization of a recent result is given. Iffis the vectorf=(0,0...,0,1)^{T}, then the solution ofX-CXC^{... View full abstract»

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  • Improved stable approximants using the Routh array

    Publication Year: 1981, Page(s):581 - 583
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (238 KB)

    A simple method for obtaining a stable reduced-order (kth-order) approximantG_{k}(s)for a stable hlgh-order (nth-order) transfer functionG(s)is described. The method is an improvement over some previous methods [1], [2] in that it not only ensures matching of the firstktime moments ofG(s)andG_{k}(s), but it also ensures t... View full abstract»

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  • Comments on "Kronecker product representation for the solution of the central linear matrix equation"

    Publication Year: 1981, Page(s):603 - 604
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (142 KB)

    First Page of the Article
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  • Comments on "A further note on selecting a low order system using the dominant eigenvalue concept"

    Publication Year: 1981, Page(s):604 - 605
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (188 KB)

    It is pointed out that the model order selection criterion proposed is not applicable, in general, for Davison and Chidambara's model simplification technique. A modification of the criterion is proposed to improve its applicability. View full abstract»

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  • Comments on "A computer-aided root-locus method"

    Publication Year: 1981, Page(s):605 - 606
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (170 KB)

    This note generalizes the result given by C. T. Pan and K. S. Chao in the above paper to the case where the gain is negative, and emphasizes the use of Newton-Raphson for correcting starting points originated from complex multiple poles. Finally, it proposes the use of mixed scales in plotting RL's with this methodology. View full abstract»

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  • Comments on Šiljak's conjecture

    Publication Year: 1981, Page(s):609 - 611
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (303 KB)

    Some comments are presented on Siljak's conjecture concerning the existence of the positive definite symmetric solution with nonnegative elements of the matrix Lyapunov equation. Namely, the validity of the conjecture is proved in the case of order two and some matrix classes which support the conjecture are shown in the general case by constructing the solution directly. View full abstract»

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  • A note on "On the generalized Nyquist stability criterion"

    Publication Year: 1981, Page(s):611 - 612
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (235 KB)

    An alternative [2] generalized Nyquist stability criterion is proposed for L2systems. It is shown that the properties of a system transfer function matrixhat{G}(s)associated with its invertibility in the restricted space of transfer function matrices can be deduced from simple encirclement conditions in the complex plane involving the loci of the eigenvalues ofG. View full abstract»

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  • A note on the reduced Schur-Cohn criterion

    Publication Year: 1981, Page(s):612 - 614
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (273 KB)

    This correspondence simplifies the reduced Schur-Cohn matrices of an earlier published paper [1]. In particular, the symmetric matricesBforn-even, and theA-matrix forn-odd in connection with theorems leand loof [1] are simplified. View full abstract»

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  • Comments on "Implications of Routh stability criteria"

    Publication Year: 1981, Page(s): 614
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (93 KB)

    First Page of the Article
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  • Further comments on "Implications of the Routh stability criterion"

    Publication Year: 1981, Page(s): 614
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (93 KB)

    The result of the above-named note (ibid., vol. AC-15 pp 554-555, June 1980) is contained in Routh's original monograph (1975), where he shows that a polynomial has at least one root with a positive real part if any element in the Routh array is negative. Routh's work is readily available in the reprinted version, but for some reason this result is seldom quoted in contemporary textbooks. 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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Meet Our Editors

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