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IEEE Transactions on Automatic Control

Issue 9 • September 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 (157 KB)
    Freely Available from IEEE
  • Scanning the issue

    Publication Year: 1987, Page(s): 753
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    Freely Available from IEEE
  • An optimization-oriented approach to the adaptive control of Markov chains

    Publication Year: 1987, Page(s):754 - 762
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (747 KB)

    We consider the control of a dynamic system modeled as a Markov chain. The transition probability matrix of the Markov chain depends on the controluand also on an unknown parameter α0. The unknown parameter belongs to a given finite setA. The long run average cost depends on the control policy and the unknown parameter. Thus, a direct approach to the optimizat... View full abstract»

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  • Control of linear systems using generalized sampled-data hold functions

    Publication Year: 1987, Page(s):772 - 783
    Cited by:  Papers (284)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1167 KB)

    This paper investigates the use of generalized sampled-data hold functions (GSHF) in the control of linear time-invariant systems. The idea of GSHF is to periodically sample the output of the system, and generate the control by means of a hold function applied to the resulting sequence. The hold function is chosen based on the dynamics of the system to be controlled. This method appears to have se... View full abstract»

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  • A stable state-space realization in the formulation of Hnorm computation

    Publication Year: 1987, Page(s):811 - 815
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (393 KB)

    In the two block Hinftyoptimization problem, usually we are given the state-space realizations of the proper rational matricesR_{1}(s)andR_{2}(s)whose poles are all the open right-half plane. Two problems are studied in the note. The first is the evaluation ofphi(s)R_{1}(s)ats = s_{k}, k = 1, 2, ..., n, wherephi(s)is an inner functi... View full abstract»

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  • Proper rational solution to 2-D two-sided polynomial matrix equations

    Publication Year: 1987, Page(s):826 - 828
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (251 KB)

    Necessary and sufficient conditions are established for the existence of proper rational solutions to a 2-D two-sided polynomial matrix equation of the formAXB = C. Two procedures for finding a proper rational solution to the equation are presented. The first procedure can be used ifXis a finite impulse response. The second procedure is a general one. View full abstract»

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  • Transfer function matrix of singular systems

    Publication Year: 1987, Page(s):829 - 831
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (234 KB)

    A formula is given, which allows the determination of the transfer function matrix of linear multivariable singular systems (i.e., systems of the formEdot{x} =Ax + Bu, withEsingular) directly in terms of the matrices of the state-space description and the characteristic polynomial without inverting a polynomial matrix. An alternative closed-form expression for the transfer fu... View full abstract»

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  • A limitation to the use of a constructive approach in the stability analysis of fixed-point digital controllers

    Publication Year: 1987, Page(s):842 - 845
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (392 KB)

    A limitation to the application of a constructive algorithm to the stability analysis of fixed-point digital controllers is demonstrated by an example. The particular system analyzed consists of a fixed-point PI digital controller regulating a first-order process. View full abstract»

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  • [Back cover]

    Publication Year: 1987, Page(s): 0
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    Freely Available from IEEE
  • Fast and stable algorithms for computing the principal square root of a complex matrix

    Publication Year: 1987, Page(s):820 - 822
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    This note presents recursive algorithms that are rapidly convergent and more stable for finding the principal square root of a complex matrix. Also, the developed algorithms are utilized to derive the fast and stable matrix sign algorithms which are useful in developing applications to control system problems. View full abstract»

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  • Output feedback control of linear two-time-scale systems

    Publication Year: 1987, Page(s):784 - 792
    Cited by:  Papers (48)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1088 KB)

    Output feedback control of linear time-invariant singularly perturbed systems is studied. The set of all compensators that stabilize a singularly perturbed system while preserving its two-time-scale structure is parameterized. The parameterization is used to show that any two-frequency-scale stabilizing compensator can be asymptotically approximated by a compensator designed via a sequential proce... View full abstract»

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  • An error bound for a discrete reduced order model of a linear multivariable system

    Publication Year: 1987, Page(s):815 - 819
    Cited by:  Papers (81)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    The design of feasible controllers for high dimension multivariable systems can be greatly aided by a method of model reduction. In order for the design based on the order reduction to include a guarantee of stability, it is sufficient to have a bound on the model error. Previous work has provided such a bound for continuous-time systems for algorithms based on balancing. In this note an Linf... View full abstract»

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  • On the discrete Riccati equation

    Publication Year: 1987, Page(s):828 - 829
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

    Several bounds have been reported recently for the trace of the solution to the discrete algebraic matrix Riccati equation. This note adds an alternative one to them. View full abstract»

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  • A general approach for constructing the limit cycle loci of multiple-nonlinearity systems

    Publication Year: 1987, Page(s):845 - 848
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    This note presents a widely convergent algorithm for finding a limit cycle of systems with multiple nonlinearities. A systematic approach is proposed for constructing the limit cycle loci on the parameter planes. The merits of this approach lie in its simplicity, generality, and ability to provide deeper insight into parameter influences on the limit cycle. Besides, stability of the limit cycle ca... View full abstract»

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  • A complete characterization of reachable sets for constrained linear time-varying systems

    Publication Year: 1987, Page(s):836 - 838
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    We consider linear time-varying systems with linear constraints on both control and state variables. The reachable set is a convex polyhedron that we completely characterize in terms of its boundary hyperplanes. View full abstract»

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  • Parameter information content of measurable signals in direct adaptive control

    Publication Year: 1987, Page(s):802 - 810
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (792 KB)

    It is postulated that available parameter information is a functional of all past history of measurable signals. From this point of view, direct model reference adaptive controllers become functional differential equations. A modified model reference adaptive control structure and functional adaptation algorithm are presented. It is shown that the system is well-defined, stable, and achieves asymp... View full abstract»

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  • On preserving the robustness of an optimal control system with observers

    Publication Year: 1987, Page(s):823 - 826
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    A new, simple, and general method is proposed in this note to preserve the robustness of the LQ control system which involves state estimators. The method is to minimize the estimator gain to the system input by selecting the estimator poles, while the existing method is to maximize the estimator gain to the system output by introducing additional noise in the system input noise description. An ex... View full abstract»

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  • Shifting the closed-loop spectrum in the optimal linear quadratic regulator problem for hereditary systems

    Publication Year: 1987, Page(s):831 - 836
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (560 KB)

    In the optimal linear quadratic regulator problem for finite-dimensional systems, the method known as an α-shift can be used to produce a closed-loop system whose spectrum lies to the left of some specified vertical line; that is, a closed-loop system with a prescribed degree of stability. This note treats the extension of the α-shift to hereditary systems. As in finite dimensions, the s... View full abstract»

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  • Sample period effects in optimally designed digital control systems

    Publication Year: 1987, Page(s):838 - 841
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    A systematic procedure for obtaining an optimal sampled data control system which treats the sample period as a free design parameter is developed. The sensitivity of the closed-loop performance with respect to the sample period is examined for various choices of the penalty weighting factors and the compensator structure. An optimal nonzero sample period may exist, depending on the penalty weight... View full abstract»

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  • Modeling of parameter variations and asymptotic LQG synthesis

    Publication Year: 1987, Page(s):793 - 801
    Cited by:  Papers (56)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1000 KB)

    Conventional approaches in modern robustness and sensitivity theory are not adequate for the problems associated with parameter variation since the structure of parameter variations cannot be modeled properly or included in the synthesis procedure. A new modeling technique is proposed to handle a class of structured plant uncertainties in a direct way. The key is to treat deterministic parameter v... View full abstract»

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  • A simple proof of Kharitonov's theorem

    Publication Year: 1987, Page(s):822 - 823
    Cited by:  Papers (27)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB)

    An alternative proof of Kharitonov's theorem on the stability of linear time-invariant continuous systems under parameter variations is presented. View full abstract»

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  • Robust tracking in nonlinear systems

    Publication Year: 1987, Page(s):763 - 771
    Cited by:  Papers (70)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1056 KB)

    A nonlinear feedback multivariable controller is used to implement multivariable tracking in a nonlinear system. The tracking error is measured by a general function of system state and the input command. The controller is robust in the sense that the tracking error is ultimately bounded in the presence of modeling errors. Free parameters, which affect the form of the controller, allow flexibility... 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