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IEEE Transactions on Automatic Control

Issue 4 • April 1987

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Displaying Results 1 - 22 of 22
  • [Front cover and table of contents]

    Publication Year: 1987, Page(s): 0
    Request permission for commercial reuse | PDF file iconPDF (151 KB)
    Freely Available from IEEE
  • Scanning the issue

    Publication Year: 1987, Page(s): 273
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    Freely Available from IEEE
  • Editorial: Research directions: A first step

    Publication Year: 1987, Page(s): 274
    Cited by:  Papers (2)
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    Freely Available from IEEE
  • A new computer graphics approach to parameter space design of control systems

    Publication Year: 1987, Page(s):294 - 302
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (900 KB)

    This paper presents a new approach to parameter space design of linear multivariable control systems. The complete solution of a pole region assignment problem for single-input systems is obtained as an admissible region in then-dimensional parameter space of state feedback gains. We develop a new modeling technique for these admissible parameter space regions which is superior to previ... View full abstract»

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  • l^{1}-optimal feedback controllers for MIMO discrete-time systems

    Publication Year: 1987, Page(s):314 - 322
    Cited by:  Papers (302)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (732 KB)

    The problem considered in this paper is the design of a closed-loop system consisting of a MIMO discrete-time plant and compensator in such a way that the system is internally stable and optimally tracks all persistent bounded inputs. The solution consists of two parts: first the calculation of the minimum value of the performance index (a weighted transfer function), which is done by solving a li... View full abstract»

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  • A counterexample for two conjectures about stability

    Publication Year: 1987, Page(s):340 - 342
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (294 KB)

    One measure of the stability of a matrixAis the distance to the nearest unstable matrixB. Recently Van Loan presented an algorithm to computeBwhich depended on a conjecture about the location of its eigenvalues. We provide a counterexample to this conjecture which shows that the algorithm may overestimate the distance toBby an arbitrary amount. The same ... View full abstract»

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  • Lyapunov-like equations and reachability/observabiliy Gramians for descriptor systems

    Publication Year: 1987, Page(s):343 - 348
    Cited by:  Papers (42)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (601 KB)

    Reachability and observability Gramians are defined for the descriptor systemsEx_{k-1} = Ax_{k} + Bu_{k}, y_{k} = Cx_{k}andEdot{x}(t) = Ax(t) + Bu(t), y(t) = Cx(t). The pencils(zE - A)and(sE - A)are assumed to be regular. IfEis singular,these Gramians do not, in general, satisfy the "expected" Lyapunov-like (Sylvester) equations (for example,<... View full abstract»

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  • Vibrational stabilization of a chemical reactor: An experimental study

    Publication Year: 1987, Page(s):348 - 352
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (561 KB)

    Vibrational control is a method for modification of dynamic properties of linear and nonlinear systems by introduction of fast, zero-average oscillations in a system's parameters. It has been previously shown that forced oscillations introduced in the reactant flow rates to a continuous stirred tank reactor (CSTR) cause a modification of theS- shaped steady-state curve. In the present n... View full abstract»

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  • [Back cover]

    Publication Year: 1987, Page(s): 0
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    Freely Available from IEEE
  • A necessary and sufficient condition for stability of a perturbed system

    Publication Year: 1987, Page(s):337 - 340
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    The problem of determining the stability of a feedback system in the presence of perturbation is considered. A necessary and sufficient condition under which the perturbed system remains stable is obtained. This condition is very general. In particular, it does not require the perturbed plant to have the same number of poles as the nominal plant. View full abstract»

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  • ARMA order estimation via matrix perturbation theory

    Publication Year: 1987, Page(s):358 - 361
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (432 KB)

    Using matrix perturbation theory, we obtain the statistical distribution of the smallest eigenvalue of the Hankel matrix built upon the estimated covariances, under the hypothesis that the corresponding exact Hankel matrix possesses one single zero eigenvalue. This allows us to develop and justify a new order determination scheme, whose performance appears similar to those based on likelihood maxi... View full abstract»

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  • FIR filters and recursive forms for continuous time-invariant state-space models

    Publication Year: 1987, Page(s):352 - 356
    Cited by:  Papers (32)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (488 KB)

    An FIR (finite impulse response) filter and an FIR smoother are introduced for continuous time-invariant state-space models. It is shown in this note that finite impulse responses of the FIR filter and smoother can be easily determined by solving a simple Riccati-type matrix differential equation on a finite interval. Especially for systems with stationary processes, finite impulse responses of th... View full abstract»

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  • Matrix partial fraction expansions of rational matrices

    Publication Year: 1987, Page(s):330 - 333
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (272 KB)

    A general and rigorous derivation is made of a new formula, established recently in the literature, for matrix partial fraction expansion of a rational matrix. The procedure, by use of a minimal Jordan realization of the rational matrix, provides as a byproduct, general expressions for residue matrices in terms of products of columns of the output matrix and rows of the input matrix of the realiza... View full abstract»

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  • Challenges to control: A collective view--Report of the workshop held at the University of Santa Clara on September 18-19, 1986

    Publication Year: 1987, Page(s):275 - 285
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1552 KB)

    During the last seven years, while structural changes have been taking place in the industrial sector of the U.S. and questions of technological leadership and technology transfer have been debated widely, new areas for research have been developing. This led the leadership of the IEEE Control Systems Society to recommend that a workshop be organized to assess the state of the art of the field and... View full abstract»

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  • Tuning of multivariable PI-controllers for unknown delay-differential systems

    Publication Year: 1987, Page(s):364 - 368
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    A design method for tuning of multivariable PI-controllers for possibly unknown linear time-invariant delay-differential systems is presented. The plant is assumed to be stable with input and output delays and subject to step disturbances. The multivariable PI-controller may be tuned with the aid of open-loop step responses. The stability and robustness of the control law is discussed and an examp... View full abstract»

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  • Coprime fraction computation of 2-D rational matrices

    Publication Year: 1987, Page(s):333 - 336
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (424 KB)

    This note presents a numerical method of computing a coprime fraction of a two-dimensional (2-D) rational matrix, not necessarily proper. It is achieved by searching the primary linearly dependent rows, in order from top to bottom, of the two generalized resultants. The procedure can be extended to the three- or higher dimensional case and the result can also be used to compute the greatest common... View full abstract»

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  • Remarks on stochastic model reduction

    Publication Year: 1987, Page(s):356 - 358
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (336 KB)

    In this note, we give a solution to the stochastic system model reduction problem in terms of the approximation of the output stochaslic process power spectrum by applying balanced realization or optimal Hankel norm approximation to the asymptotically stable and minimum phase spectral factor. We also give explicit bounds for the approximation error. The effectiveness of this method is compared to ... View full abstract»

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  • Command and control (C2) theory: A challenge to control science

    Publication Year: 1987, Page(s):286 - 293
    Cited by:  Papers (112)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1096 KB)

    The basic premise of this perspectives paper is that the field of military command-and-control (C2) systems offers challenging basic research opportunities to researchers in the conlrol sciences and systems engineering disciplines, in point of fact, the analysis and design of complex, survivable, and responsive C2 systems requires novel advances in the area of distributed dynamic decision-making u... View full abstract»

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  • Families of linear-quadratic problems: Continuity properties

    Publication Year: 1987, Page(s):323 - 329
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (768 KB)

    In this paper we investigate for given one-parameter families of linear time-invariant finite-dimensional systems the parameter dependence of the linear-quadratic optimal cost, optimal control inputs, optimal state-trajectories, and optimal outputs. It is shown that results that have been obtained in the past in the context of the problem of cheap control can in fact be generalized to a much broad... View full abstract»

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  • Parametric models of linear multivariable systems for adaptive control

    Publication Year: 1987, Page(s):303 - 313
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (944 KB)

    This paper presents a parametrization method for direct adaptive control of linear multivariable systems with strictly proper discrete-time or continuous-time transfer functions. The necessary a priori information is shown to be a diagonal matrix with the noninvertible zeros of the Smith form and appropriate polynomial degrees. View full abstract»

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  • On the parameters estimation of continuous-time ARMA processes from noisy observations

    Publication Year: 1987, Page(s):361 - 364
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (416 KB)

    Recently, an iterative algorithm has been presented for estimating the parameters of partially observed continuous-time processes [1]. In this note we concentrate on continuous-time ARMA processes observed in white noise. A maximum a-posteriori (MAP) estimator is defined for the trajectory of the parameters' random process. This approach enables the MAP estimation of randomly slowly varying parame... View full abstract»

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  • On the bounds for the roots of a polynomial

    Publication Year: 1987, Page(s):336 - 337
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

    Some new sufficient conditions are presented which give bounds for the absolute values of the roots of a polynomial. These results extend certain earlier stability tests for linear discrete systems. 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

Full Aims & Scope

Meet Our Editors

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