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IEEE Transactions on Automatic Control

Issue 8 • Date Aug. 1989

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Displaying Results 1 - 25 of 26
  • Comments, on "A generalization of Rosenbrock's theorem" by M. Schlegel

    Publication Year: 1989, Page(s):921 - 922
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (189 KB)

    In the above paper (ibid., vol.AC-32, p.155, Feb. 1987) the author presents a generalization of the famous Rosenbrock theorem concerning the problem of synthesis of linear state feedback control laws for linear controllable systems. The commenters point out that this result was published by them earlier (in an alternative form). Here they give again alternative conditions for solvability of the pr... View full abstract»

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  • Comments on functional reproducibility of time-varying input-output systems

    Publication Year: 1989, Page(s):922 - 924
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (228 KB)

    Recent results on solvability developed as part of a conjecture of K.A. Grasse (SIAM J. Contr. Optimiz., vol.26, p.230-249, 1988) on the necessity of certain rank conditions is answered for an important class of systems. A simpler description of the derivative arrays is presented. An alternative way of computing the control producing a given output is presented.<> View full abstract»

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  • An approach for pole assignment in singular systems

    Publication Year: 1989, Page(s):889 - 893
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (420 KB)

    Pole assignment in a singular system Edx/dt=Ax+Bu is discussed. It is shown that the problem of assigning the roots of det(sE-(A +BF)) by applying a proportional feedback u=Fx+r in a given singular system is equivalent to the problem of pole assignment of an appropriate regular system. An immediate applicatio... View full abstract»

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  • Robust stabilization of linear time-invariant systems

    Publication Year: 1989, Page(s):870 - 875
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (500 KB)

    The problem of robustly stabilizing families of linear time-variant plants consisting of a nominal plant and its frequency domain neighborhood is discussed. Necessary and sufficient conditions are obtained for robust stabilizability of such families of plants. The set of robustly stabilizing controllers is parameterized and the largest achievable stability margin is characterized for a linear time... View full abstract»

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  • Graph topology and gap topology for unstable systems

    Publication Year: 1989, Page(s):848 - 855
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (596 KB)

    A reformation is provided of the graph topology and the gap topology for a general setting (including lumped linear time-invariant systems and distributed linear time-invariant systems) in the frequency domain. Some essential properties and their comparisons are clearly presented in the reformulation. It is shown that the gap topology is suitable for general systems rather than square systems with... View full abstract»

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  • A comparison of two linear methods of estimating the parameters of ARMA models

    Publication Year: 1989, Page(s):915 - 917
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (232 KB)

    A finite-order stationary and minimum-phase ARMA (autoregressive moving-average) (p,q) model is equivalent to an infinite-order AR (autoregressive) model. Two methods of estimating the parameters of the ARMA (p,q) model by solving only linear equations are based on or closely related to this equivalence relation. One method was derived directly from the equivale... View full abstract»

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  • Necessary and sufficient conditions for robust stabilization of an observer-based compensating system suffering nonlinear time-varying perturbation

    Publication Year: 1989, Page(s):899 - 900
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (144 KB)

    It is demonstrated that the robust stabilization against additive nonlinear time-varying uncertainty presented by B.S. Chen and W.S. You (ibid., vol.AC-32, p.1131-5, Dec. 1987) is not just a sufficient but also a necessary condition. An additional necessary and sufficient condition that arises in the case of multiplicative uncertainty is also discussed View full abstract»

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  • A real Schur form method for modeling singularly perturbed systems

    Publication Year: 1989, Page(s):856 - 861
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (512 KB)

    A method is presented for modeling a two-time-scale system in the singularly perturbed form. The method uses an ordered real Schur decomposition, which can be efficiently computed using standard subroutines from EISPACK. Three results are given. First, it is shown that any two-time-scale system can be modeled in the singularly perturbed form by a transformation into an ordered real Schur form, fol... View full abstract»

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  • State-space solutions to standard H2 and H control problems

    Publication Year: 1989, Page(s):831 - 847
    Cited by:  Papers (1702)  |  Patents (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1496 KB)

    Simple state-space formulas are derived for all controllers solving the following standard H problem: For a given number γ>0, find all controllers such that the H norm of the closed-loop transfer function is (strictly) less than γ. It is known that a controller exists if and only if the unique stabilizing solutions to two algebr... View full abstract»

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  • On the robustness of sampled-data control to unmodeled high-frequency dynamics

    Publication Year: 1989, Page(s):900 - 903
    Cited by:  Papers (20)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    Robustness of sampled-data control designs to unmodeled high-frequency dynamics is studied using singular perturbation theory. It is argued that when the plant is preceded by a zero-order hold, a direct transmission term of the reduced-order model, which results from neglecting high-frequency dynamics, should be modeled as a delay element in order to ensure robustness View full abstract»

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  • Controller reduction: concepts and approaches

    Publication Year: 1989, Page(s):802 - 812
    Cited by:  Papers (188)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1024 KB)

    The problem of passing from a linear time-invariant high-order controller designed for a linear time-invariant plant (of presumably high order) to a low-order approximation of the controller is discussed. The approximation problem is often best posed as a frequency-weighted L approximation problem. Many different controller representations are possible, giving different ... View full abstract»

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  • Robust stabilization of normalized coprime factor plant descriptions with H-bounded uncertainty

    Publication Year: 1989, Page(s):821 - 830
    Cited by:  Papers (218)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (740 KB)

    The problem of robustly stabilizing a family of linear systems is explicitly solved in the case where the family is characterized by H bounded perturbations to the numerator and denominator of the normalized left coprime factorization of a nominal system. This problem can be reduced to a Nehari extension problem directly and gives an optimal stability margin. All contro... View full abstract»

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  • A simple algorithm on minimal balanced realization for transfer function matrices

    Publication Year: 1989, Page(s):879 - 882
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    Given a transfer function matrix, it is shown that its minimal balanced realization can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on the close relationship of controllability and the observability gramians to the singular value decomposition of the ... View full abstract»

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  • Sensitivity considerations in the control of generalized plants

    Publication Year: 1989, Page(s):885 - 888
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    A comparison sensitivity matrix is derived for a generalized plant for which the controlled and measured variables are not necessarily the same. The sensitivity of the control signal to plant and controller parameter variations is characterized. It is shown that sensitivity reduction is possible only when the controlled and measured variables are appropriately related. A relationship between compa... View full abstract»

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  • Dissipative LQG control systems

    Publication Year: 1989, Page(s):866 - 870
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (492 KB)

    An indefinite Lyapunov test matrix for closed-loop dissipativeness using LQG (linear quadratic Gaussian) design is presented. The application of this test to relaxation systems, lossless systems, Hamiltonian systems, positive real systems, and second-order systems with collocated rate sensors and actuators is explored. The Lyapunov test also helps clarify the role of collocated sensors and actuato... View full abstract»

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  • Indirect adaptive control for interconnected systems

    Publication Year: 1989, Page(s):908 - 911
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (324 KB)

    An indirect adaptive controller for interconnected systems is introduced. Each subsystem is subject to bounded disturbances and to possibly unbounded interconnections with other subsystems. A variable dead zone is incorporated into a gradient estimation scheme to limit the effects of the interconnections and disturbances. An adaptive state feedback control law is described which stabilizes the int... View full abstract»

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  • Compensating for computational delay in digital equivalent of continuous control systems

    Publication Year: 1989, Page(s):895 - 899
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    A computer-aided method to compensate for the computational delay in the digital equivalent of continuous control systems is presented. The objective is to obtain the transfer function of the digital controller so that the performance of the equivalent digital control system is as close to that of the existing continuous system as possible. This is done by matching the frequency response of the di... View full abstract»

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  • Robust stability for time-delay systems: the edge theorem and graphical tests

    Publication Year: 1989, Page(s):813 - 820
    Cited by:  Papers (50)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (688 KB)

    The robust stability problem is discussed for a class of uncertain delay systems where the characteristic equations involve a polytope P of quasi-polynomials (i.e. polynomials in one complex variable and exponential powers of the variable). Given a set D in the complex plane, the goal is to find a constructive technique to verify whether all roots of every quasi-polynomial in ... View full abstract»

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  • An SDR algorithm for the solution of the generalized algebraic Riccati equation

    Publication Year: 1989, Page(s):875 - 879
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (464 KB)

    An algorithm is presented for solving certain classes of the algebraic Riccati equation by using the MDR transformation and extending the symplectic QR-like (or SR) method of A. Bunse-Gerstner (Linear Alg. Applic., vol.83, p.49-78, 1986) and V. Mehrmann (Ph.D. Diss., Univ. Bielefeld, W. Germany) to the generalized eigenvalue problem. The Riccati equations arise from linear systems of the form ... View full abstract»

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  • On computing the infinity norm

    Publication Year: 1989, Page(s):882 - 884
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (280 KB)

    An iterative algorithm is given for computing the infinity norm of the transfer matrix of a bounded, linear, time-invariant, finite-dimensional system. The procedure, which is based on the numerically stable QZ algorithm, enables the infinite norm to be computed with a guaranteed accuracy. No ad hoc procedures, such as those for selecting a suitable grid of frequencies, for example, are u... View full abstract»

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  • Data reduction in the mixed-sensitivity H design problem

    Publication Year: 1989, Page(s):861 - 865
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    The mixed-sensitivity H design problem is discussed in the two-block case. The state-space approach is used to investigate the internal structure of this design problem, which inherits many pole-zero cancellations. The complete state-space solution is provided. Efficient mathematical software can then be implemented View full abstract»

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  • Flow balance equations for the steady-state distribution of a flexible manufacturing system

    Publication Year: 1989, Page(s):917 - 921
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (468 KB)

    Flow balance equations are formulated for the steady-state distribution of machine state and production surplus when a flexible manufacturing system is operated under a feedback control law. The long-run average cost is equal to the expectation in steady state of the instantaneous expenditure rate if the system is ergodic, and the optimum in a given family of control laws can be obtained by minimi... View full abstract»

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  • Exact recursive polyhedral description of the feasible parameter set for bounded-error models

    Publication Year: 1989, Page(s):911 - 915
    Cited by:  Papers (43)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (444 KB)

    A method is described which exactly characterizes the set of all the values of the parameter vector of a linear model that are consistent with bounded errors on the measurements. It provides a parameterized expression of this set, which can be used for robust control design or for optimizing any criterion over the set. This approach is based on a new variant of the double description method for de... View full abstract»

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  • On L1 optimal control

    Publication Year: 1989, Page(s):884 - 885
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    It is shown that the problem of minimizing the effect of the worst disturbance on the output, where the signals have finite one norms, is equivalent to the same problem with bounded disturbances. The following situations provide the motivation to study such a problem. (1) Disturbances are generated by a fixed bounded-input, bounded-output (BIBO) stable, linear time-invariant (LTI) system with unkn... View full abstract»

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  • Minimal realization of transfer function matrices via one orthogonal transformation

    Publication Year: 1989, Page(s):893 - 895
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB)

    The minimal realization of a given arbitrary transfer function matrix G(s) is obtained by applying one orthogonal similarity transformation to the controllable realization of G( s). The similarity transformation is derived by computing the QR or the singular value decomposition of a matrix constructed from the coefficients of G(s). It ... 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