IEEE Transactions on Automatic Control

Issue 8 • August 1987

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Displaying Results 1 - 21 of 21
  • [Front cover and table of contents]

    Publication Year: 1987, Page(s): 0
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    Freely Available from IEEE
  • Scanning the issue

    Publication Year: 1987, Page(s): 657
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  • The linear-quadratic optimal regulator for descriptor systems

    Publication Year: 1987, Page(s):672 - 688
    Cited by:  Papers (249)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1500 KB)

    In this paper we investigate the linear-quadratic optimal regulator problem for the continuous-time descriptor systemEdot{x} = Ax + BuwhereEis, in general, a singular matrix. We solve first a general finite-horizon problem by applying the calculus of variations to derive the optimal trajectory of the vector consisting of the concatenated descriptor, codescriptor, and control ... View full abstract»

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  • Optimal control of a queueing system with simultaneous service requirements

    Publication Year: 1987, Page(s):717 - 727
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (965 KB)

    We consider a system withNidentical servers, operating in parallel. There are two types of customers, ordinary and locking, having exponential service times with rates μOand μLand completion rewards rOand rL(Problem P1) or completion reward rOand holding cost hL(Problem P2), respectively. An ordinary customer ne... View full abstract»

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  • Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation

    Publication Year: 1987, Page(s):735 - 739
    Cited by:  Papers (29)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (492 KB)

    We consider the problem of internally stabilizing and simultaneously diagonally decoupling a linear multivariable system by unity output feedback compensation. A sufficient condition is derived for the existence of a cascade proper compensatorC(s)such that when employed in a unity feedback loop involving the proper transfer function matrix Poof a free of unstable hidden modes... View full abstract»

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  • A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equations

    Publication Year: 1987, Page(s):739 - 740
    Cited by:  Papers (21)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (177 KB)

    A new proof is presented for the inequality,tr (XY) leq parallel X parallel_{2} cdot tr Y. This argument is valid under the condition thatYbe real symmetric nonnegative definite;Xmay be any square matrix. View full abstract»

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  • A complete analytical solution to the equationTA - FT = LCand its applications

    Publication Year: 1987, Page(s):742 - 744
    Cited by:  Papers (55)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (297 KB)

    In this note, a complete, analytical, and restriction-free solution with complete and explicit freedom of the matrix equationTA - FT = LCis proposed. Here(A, C)is given and is observable, andFis in the Jordan form with arbitrary given eigenvalues. This solution appears to be new because it can be applied directly to obtain significantly better solutions to the foll... View full abstract»

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  • Comments on "An improved approximation for settling time of second-order linear systems"

    Publication Year: 1987, Page(s):747 - 748
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    The paper is based on the assertion that the formula for the settling time of linear underdamped second-order systems, using the exponential envelope of the response, is unconservative. This is incorrect: the envelope formula yields an upper bound on the settling time. We also show how the envelope formula can be approximated by a truncated McLaurin series, yielding a practical design formula that... View full abstract»

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  • Author's reply

    Publication Year: 1987, Page(s): 748
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (96 KB)

    First Page of the Article
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  • Comments on "Undershoot and nonminimum phase zeros"

    Publication Year: 1987, Page(s): 749
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (106 KB)

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  • Comments on "Adaptive controller designs for robot manipulator systems using Lyapunov direct method"

    Publication Year: 1987, Page(s): 749
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (106 KB)

    The commenters state that for the above-named work (ibid., vol. AC-30, pp. 1229-1233. Dec. 1985) the type of design presented has been shown to be useful in the adaptive control of a linear system. However, the extension to the nonlinear case presented in the paper is incomplete since the time varying nature of the control law feedback gains is not taken into account. View full abstract»

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  • Authors' reply

    Publication Year: 1987, Page(s): 749
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (106 KB)

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  • [Back cover]

    Publication Year: 1987, Page(s): 0
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    Freely Available from IEEE
  • On the robustness of optimal regulators for nonlinear discrete-time systems

    Publication Year: 1987, Page(s):703 - 710
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (752 KB)

    In this paper the robustness of nonlinear discrete-time systems is analyzed. The nominal plant is supposed to be controlled by means of a feedback control law which is optimal with respect to some given criterion. The robustness of the closed-loop system is studied for two different classes of perturbations in the control law, which are called gain and additive nonlinear perturbations. The results... View full abstract»

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  • Design of state feedback for large-scale multivariable systems

    Publication Year: 1987, Page(s):732 - 735
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (408 KB)

    This note presents a general method which reduces the computational requirements in the state feedback design of large-scale multivariable systems. The given system is first transformed into a general block canonical form by using simple equivalent transformation. The state feedback problem is then reformulated in terms of a Sylvester equation. Finally, the transformed system matrices along with c... View full abstract»

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  • Design of failure-accommodating multiloop LQG-type controllers

    Publication Year: 1987, Page(s):740 - 741
    Cited by:  Papers (34)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (232 KB)

    This note investigates the stability of multiloop LQG-type controllers in the presence of actuator and sensor outages. For the linear quadratic state feedback (LQSF) regulator case, it is proved that the closed-loop stability can be maintained in the presence of certain actuator failure states by inserting appropriate constant gains in the control loops. The results are also applicable (via dualit... View full abstract»

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  • Robustness in partial pole placement

    Publication Year: 1987, Page(s):728 - 732
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (512 KB)

    The robustness of state feedback solutions to the problem of partial pole placement obtained by a new projection procedure is examined. The projection procedure gives a reduced-order pole assignment problem. It is shown that the sensitivities of the assigned poles in the complete closed-loop system are bounded in terms of the sensitivities of the assigned reduced-order poles, and the sensitivities... View full abstract»

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  • Computational methods for parametric LQ problems--A survey

    Publication Year: 1987, Page(s):658 - 671
    Cited by:  Papers (166)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1480 KB)

    Iterative methods for finding the optimal constant feedback gains for parametric LQ problems, notably for optimal constant output feedback problems, are surveyed. The connections of several methods to loss function expansions are discussed with important implications to the understanding of their convergence properties. Especially, the descent Anderson-Moore method, Levine-Athans like methods, and... View full abstract»

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  • Improved bounds for the eigenvalues of solutions of Lyapunov equations

    Publication Year: 1987, Page(s):744 - 747
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (384 KB)

    Bounds on the solution and on the eigenvalues of the solution of the discrete and of the continuous matrix Lyapunov equations are presented. These bounds are nontrivial in the case of system matrices having multiple eigenvalues. Especially in the latter case, these bounds are better than bounds found in the literature. Further, these bounds are sharp, i.e., there exist systems such that the lower ... View full abstract»

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  • Perfect control of the robust servomechanism problem

    Publication Year: 1987, Page(s):689 - 702
    Cited by:  Papers (83)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1304 KB)

    The problem of finding a robust servomechanism controller which achieves exact asymptotic tracking/regulation for a modeled class of reference and disturbance signals, arbitrarily good approximate error regulation (AGAER) for reference/disturbance signals which lie outside of this design class, and arbitrarily good transient response is considered. It is shown that a necessary condition that must ... View full abstract»

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  • Vibrational control of a class of nonlinear systems by nonlinear multiplicative vibrations

    Publication Year: 1987, Page(s):711 - 716
    Cited by:  Papers (20)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (560 KB)

    Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. This paper extends nonlinear vibrational control theory developed in [8], [9] to systems controlled by nonlinear multiplicative vibrations. Condition for partial vibrational stabilization with respect to a component of a steady-state ve... 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