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IEEE Transactions on Automatic Control

Issue 2 • Date Feb 1990

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Displaying Results 1 - 25 of 29
  • Richness and excitation on an interval-with application to continuous-time adaptive control

    Publication Year: 1990, Page(s):165 - 171
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (488 KB)

    Richness and excitation on an interval is presented as a useful tool, which offers flexibility and mathematical simplification of the excitation issue. Feedback laws are considered which, when they are applied to any controllable time-invariant linear system, result in a closed-loop system such that the feedback signal, the measure of excitation which it produces, and the state vector of the syste... View full abstract»

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  • Contribution to the solution of the linear-quadratic problem for large systems

    Publication Year: 1990, Page(s):239 - 243
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (408 KB)

    The feasibility of using a previously published algorithm as a tool for the computation of the Kalman gain for large systems is demonstrated. Some aspects of its implementation and its numerical properties are explored. Numerical examples demonstrate the suitability of the algorithm for the computation of the optimal gain for very-high-order systems. The optimal gain is computed for a sparse syste... View full abstract»

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  • Min-max predictor control for uncertain systems with input delays

    Publication Year: 1990, Page(s):210 - 214
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    The problem of stabilizing uncertain dynamical systems with multiple input delays is considered. A stabilizing min-max predictor controller is derived. The incorporation of the predictor enables the min-max control strategy to be applied to uncertain systems with no current control in the dynamics View full abstract»

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  • The largest singular value of eXA0e -X is convex on convex sets of commuting matrices

    Publication Year: 1990, Page(s):229 - 230
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (180 KB)

    A short and direct proof of the convexity property is given. It is shown that the theorem applies to any convex, commuting set of matrices in RnXn, where A0RnXn is fixed. It is also shown that the result does not hold if X is permitted to be a general square matrix. A counterexample is supplied for noncommuting matrices View full abstract»

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  • Design of a self-tuning rule based controller for a gasoline refinery catalytic reformer

    Publication Year: 1990, Page(s):156 - 164
    Cited by:  Papers (32)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (700 KB)

    Design concepts for self-tuning knowledge-based controllers are studied. To accomplish this, two interacting rule-based controllers are constructed for supervisory control and system optimization of a gasoline catalytic reformer. The knowledge bases incorporate human operator experience and basic engineering knowledge about the process dynamics. Inference is provided by a fuzzy logic engine. After... View full abstract»

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  • Estimating time-varying parameters by the Kalman filter based algorithm: stability and convergence

    Publication Year: 1990, Page(s):141 - 147
    Cited by:  Papers (65)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (448 KB)

    Convergence and stability properties of the Kalman filter-based parameter estimator are established for linear stochastic time-varying regression models. The main features are: both the variances and sample path averages of the parameter tracking error are shown to be bounded; the regression vector includes both stochastic and deterministic signals, and no assumptions of stationarity or independen... View full abstract»

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  • Quadratic stability with real and complex perturbations

    Publication Year: 1990, Page(s):198 - 201
    Cited by:  Papers (65)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (316 KB)

    It is shown that the equivalence between real and complex perturbations in the context of quadratic stability to linear, fractional, unstructured perturbations does not hold when the perturbations are block structured. For a limited class of problems, quadratic stability in the face of structured complex perturbations is equivalent to a particular class of scaled norms, and hence appropriate synth... View full abstract»

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  • Construction of linear predictors for stationary vector sequences

    Publication Year: 1990, Page(s):236 - 239
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    The class of all linear predictors of minimal order for a stationary vector-valued process is specified in terms of linear transformations on the associated Hankel covariance matrix. Two particular transformations, yielding computationally efficient construction schemes, are proposed View full abstract»

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  • A criterion for estimating robust time delays for closed-loop stability

    Publication Year: 1990, Page(s):209 - 210
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (184 KB)

    A formula for estimating robust time delays for closed-loop stability is presented. Continuous, single-input-single-output, linear, time-invariant systems represented by their rational transfer functions, which are not necessarily stable, are considered. The proposed formula is derived using the symmetric Rouche form. An illustrative example is included, and some closing remarks concerning the mer... View full abstract»

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  • Persistency of excitation and overparametrization in model reference adaptive control

    Publication Year: 1990, Page(s):254 - 256
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (240 KB)

    The problem of overparameterization of the plant in model reference adaptive control (MRAC) is analyzed. Overparametrization may arise when an upper bound for the order of the plant is used in the design of the MRAC or when the transfer function of the modeled part of the plant has common zeros and poles. It is shown that under parametrization the parameters for model-plant transfer function match... View full abstract»

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  • Robust stability of state-space models with structured uncertainties

    Publication Year: 1990, Page(s):191 - 195
    Cited by:  Papers (43)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (412 KB)

    A method for robust eigenvalue location analysis of linear state-space models affected by structured real parametric perturbations is proposed. The approach, based on algebraic matrix properties, deals with state-space models in which system matrix entries are perturbed by polynomial functions of a set of uncertain physical parameters. A method converting the robust stability problem into nonsingu... View full abstract»

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  • Proper invariant realizations of singular system problems

    Publication Year: 1990, Page(s):230 - 233
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (336 KB)

    The notion of proper invariant realization of a triple for a specially defined linear space is introduced and its properties and construction are investigated. This notion of realization allows the reduction of the study of dynamic characterization of subspaces of singular systems to standard problems of linear systems theory. The proof of the results is given View full abstract»

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  • From receiver operating characteristic to system operating characteristic: evaluation of a track formation system

    Publication Year: 1990, Page(s):172 - 179
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (736 KB)

    The authors discuss the application of multitarget tracking techniques in combination with a Markov chain model to the evaluation of a track formation system based on a composite logic. Target track detection probability is computed in the presence of false alarms. The target track detection probability versus the false track probability is plotted; the values of target detection probability and t... View full abstract»

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  • On finding the minimum possible peak value of multi-input infinite-horizon steering controls

    Publication Year: 1990, Page(s):243 - 246
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (292 KB)

    A computational method for the infinite-dimensional optimization problem of finding the minimum possible peak value of a multi-input infinite-horizon steering control is presented. It is shown that the problem is equivalent to a convex program in a finite-dimensional Euclidean space. The convex program is approximated by a sequence of linear programs, the objective values of which converge to the ... View full abstract»

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  • A Schur vector method to solve higher order Lyapunov equations

    Publication Year: 1990, Page(s):215 - 218
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    A general Schur vector method for solving a partial differential equation which appears in designing nonlinear optimal control laws for linear or nonlinear dynamical systems is proposed. The method reduces the dimensionality problem of the direct method. Numerical experiments show that it also reduces the numerical instability of the eigenvector method View full abstract»

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  • Knowledge based fuzzy control of systems

    Publication Year: 1990, Page(s):148 - 155
    Cited by:  Papers (37)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (592 KB)

    A method of fuzzy control of systems based on a concept of human thinking is investigated. The fuzzy controller consists of a knowledge base containing a number of time responses of a process. The elements of this base are cells in which an input and a corresponding output of a system are stored. The cells are organized according to different types of relations. The result is a knowledge structure... View full abstract»

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  • On the norms used in computing the structured singular value

    Publication Year: 1990, Page(s):201 - 203
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB)

    Different norms are considered to replace the Euclidean norm in an algorithm given by M.H.K. Fan and A.L. Tits (ibid., vol.33, p.284-9, 1988), which is used for the computation of the structured singular value of any matrix. The algorithm is explained, and it is shown that the l1 norm is the best possible norm in a certain sense View full abstract»

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  • Output regulation of nonlinear systems

    Publication Year: 1990, Page(s):131 - 140
    Cited by:  Papers (896)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (888 KB)

    The problem of controlling a fixed nonlinear plant in order to have its output track (or reject) a family of reference (or disturbance) signal produced by some external generator is discussed. It is shown that, under standard assumptions, this problem is solvable if and only if a certain nonlinear partial differential equation is solvable. Once a solution of this equation is available, a feedback ... View full abstract»

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  • A dual result to Kharitonov's theorem

    Publication Year: 1990, Page(s):195 - 198
    Cited by:  Papers (23)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    A dual problem to Kharitonov's problem, involving a diamond instead of a rectangle, is considered. The results show that a family of polynomials with coefficients varying in the diamond is strictly Hurwitz if and only if eight one-dimensional exposed edges of the diamond are strictly Hurwitz View full abstract»

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  • A parametrization of stabilizing controllers for multirate sampled-data systems

    Publication Year: 1990, Page(s):233 - 236
    Cited by:  Papers (55)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    All linear multirate controllers for a given multirate sampled-data system plant are parameterized in terms of a single parameter Q(z) that is allowed to be any stable transfer matrix provided that certain causality conditions are met. The result parallels a well-known parameterization result for single-rate sampled-data plants. The parameterization suggests architectures for mul... View full abstract»

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  • On the stability of low-order perturbed polynomials

    Publication Year: 1990, Page(s):180 - 182
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB)

    It is shown that for low-order perturbed continuous system polynomials (N⩽6), stability can be guaranteed by checking very simple conditions based on the Hermite-Biehler theorem. For N ⩽5 no numerical computation of the roots is required to check stability. For N=6, one root of a third-order polynomial needs to be found, with the rest of the conditions reducing t... View full abstract»

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  • Tracking analysis of an ARMA parameter estimation algorithm

    Publication Year: 1990, Page(s):247 - 250
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (324 KB)

    The problem of adaptively estimating parameters of a time-varying autoregressive moving-average (ARMA) process using a constant-step-size Gauss-Newton algorithm is studied. Using weak convergence theory and the concept of prescaling, it is shown that an ordinary differential equation can be used to describe the mean behavior of the adaptive filter coefficients. Computer simulations are provided to... View full abstract»

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  • Extended table for eliminating the singularities in Routh's array

    Publication Year: 1990, Page(s):218 - 222
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    A simple procedure for eliminating the classical ε-method introduced by the Routh-Hurwitz test is given. The procedure extends the construction of the Routh table in the special case of vanishing leading array elements without introducing complementary multiplications. It is shown that it is always possible to associate with any polynomial g an extended Routh table. The number of si... View full abstract»

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  • All stabilizing controllers as frequency-shaped state estimate feedback

    Publication Year: 1990, Page(s):203 - 208
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (388 KB)

    It is shown that the class of all strictly proper stabilizing controllers for proper linear plants can be structured as state estimate feedback with frequency shaping in the state estimates and/or in the state estimate feedback law. The selection of where the frequency shaping takes place is at the designer's discretion. The parameterization of the controller class can be in terms of an arbitrary ... View full abstract»

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  • State-space design of low-order stabilizers

    Publication Year: 1990, Page(s):182 - 186
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    An algorithm is presented for stabilizing a linear multivariable system with a controller of fixed dynamic order. This is an output feedback stabilization problem. The algorithm attempts to solve this by a sequence of approximate pole assignment problems. The approximation is driven by the optimization of an objective function consisting of a weighted sum of the condition number of the closed-loop... 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