IEEE Transactions on Automatic Control

Issue 7 • July 1997

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Displaying Results 1 - 21 of 21
  • Nonlinear Control Systems [Book Reviews]

    Publication Year: 1997, Page(s):1043 - 1044
    Cited by:  Papers (1)
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  • Multiobjective output-feedback control via LMI optimization

    Publication Year: 1997, Page(s):896 - 911
    Cited by:  Papers (1392)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (760 KB)

    This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers. The design objectives can be a mix of H∞ performance, H2 performance, passivity, asymptotic disturbance rejection, time-domain constraints, and constraints on the closed-loop pole location. In addition, these objectives can ... View full abstract»

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  • On the relation between state feedback and full information regulators in nonlinear singular H control

    Publication Year: 1997, Page(s):984 - 988
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (168 KB)

    In this paper the relationship between state feedback control laws and full information control laws, i.e. control laws which make explicit use of the disturbance signals, is discussed in the framework of nonlinear singular H∞ control. In particular, it is shown that any (polynomial) full information control law can always be approximated by a state feedback control law, provided ... View full abstract»

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  • Identification for systems with bounded noise

    Publication Year: 1997, Page(s):996 - 1001
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (212 KB)

    In this paper, we present a set-membership identification algorithm for systems with unknown but bounded disturbance. The algorithm contains a weighting factor which is selected according to whether the new observed data contains sufficient information. The proposed approach ensures that the estimation error is bounded and nonincreasing. Furthermore, it is shown that the parameter estimates provid... View full abstract»

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  • Robust tracking, error feedback, and two-degree-of-freedom controllers

    Publication Year: 1997, Page(s):980 - 983
    Cited by:  Papers (29)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (112 KB)

    The purpose of this paper is to establish first, that in the absence of error feedback, asymptotic tracking is a property that is fragile with respect to the controller parameters. This implies that arbitrary small perturbation of the parameters of such a controller will cause asymptotic tracking to fail. Second, we propose a general 2-DOF controller architecture. We prove that in this structure, ... View full abstract»

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  • Interactive control system design by a mixed H-parameter space method

    Publication Year: 1997, Page(s):946 - 955
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (560 KB)

    This paper presents an interactive graphical method to determine sets of stabilizing controllers satisfying any combination of constraints on the sensitivity, complementary sensitivity, and input sensitivity transfer functions. The method is limited to single-input/single-output systems but offers significant advantages over current H∞ methods. It can handle pure time delays in an... View full abstract»

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  • H-almost disturbance decoupling with internal stability for linear systems subject to input saturation

    Publication Year: 1997, Page(s):992 - 995
    Cited by:  Papers (43)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (164 KB)

    For a linear system subject to input saturation and input-additive disturbances, we show that: (1) the H∞-almost disturbance decoupling problem with local asymptotic stability is always solvable via state feedback as long as the system in the absence of saturation is stabilizable, no matter where the open-loop poles are; and (2) the H∞-almost disturbance decouplin... View full abstract»

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  • Circle criteria in recursive identification

    Publication Year: 1997, Page(s):975 - 979
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (204 KB)

    Positive real conditions and differential sector conditions have recently been shown to imply global convergence w.p. 1, for recursive identification schemes based on a class of single-input/single-output linear Wiener models. The models consist of linear dynamics followed by a static output nonlinearity. The model structure is hence closely related to that of the Lure problem in the stability the... View full abstract»

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  • Access control to two multiserver loss queues in series

    Publication Year: 1997, Page(s):1017 - 1023
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (228 KB)

    We consider admission policies to two multiserver loss queues in series with two types of traffic. Both are generated according to independent Poisson processes with constant arrival rates. The first type requires service at the first queue and with a positive probability enters the second queue; the second type requires service at only the second queue. The service time distribution is exponentia... View full abstract»

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  • Sensitivity integrals and transformation techniques: a new perspective

    Publication Year: 1997, Page(s):1037 - 1044
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (216 KB)

    We provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation uses the well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternati... View full abstract»

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  • An approach to parametric nonlinear least square optimization and application to task-level learning control

    Publication Year: 1997, Page(s):912 - 927
    Cited by:  Papers (26)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (672 KB)

    This paper considers a parametric nonlinear least square (NLS) optimization problem. Unlike a classical NLS problem statement, we assume that a nonlinear optimized system depends on two arguments: an input vector and a parameter vector. The input vector can be modified to optimize the system, while the parameter vector changes from one optimization iteration to another and is not controlled. The o... View full abstract»

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  • Synthesis of positive real ℋ2 controllers

    Publication Year: 1997, Page(s):988 - 992
    Cited by:  Papers (48)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (180 KB)

    This paper describes a synthesis procedure for strictly positive real observer-based controllers. In particular, we address the standard ℋ2-optimal control problem with the additional constraint on the strict positive realness of the controller. A suboptimal version of this problem is shown to be a convex optimization problem, and a linear matrix inequality-based solution is provid... View full abstract»

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  • On nonlinear reinforcement schemes

    Publication Year: 1997, Page(s):1002 - 1004
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (144 KB)

    This paper deals with the analysis of nonlinear reinforcement schemes for learning automata. The learning automaton is connected in feedback loop to a random environment. The correction term of the action probability vector depends on a nonlinear function φ(x). Results concerning the convergence, the convergence rate, and the effect of the function φ(x) are stated. A comparison between the... View full abstract»

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  • System identification using balanced parametrizations

    Publication Year: 1997, Page(s):956 - 974
    Cited by:  Papers (26)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (552 KB)

    Some general issues in the “black-box” identification of multivariable systems are first discussed. It is then suggested that balanced parametrizations can be used to give identifiable forms. A particular advantage is that balanced parametrizations are known for several useful classes of linear dynamic models, including stable minimal models, minimum-phase models, positive-real models,... View full abstract»

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  • A new approximation method for time-delay systems

    Publication Year: 1997, Page(s):1008 - 1012
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (316 KB)

    We develop a rational approximant Bnα of e-ds and make a detailed analysis on the approximant BnαG of e-dsG, where G∈RL 2. We prove Lp=2,∞ error convergence and provide corresponding error bounds explicitly. Comparative study with other approximants is performed in order to make clear the... View full abstract»

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  • Convergence rate for RLS-based direct self-tuning minimum-variance regulation of ARMAX minimum phase plants

    Publication Year: 1997, Page(s):1023 - 1028
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (232 KB)

    An upper bound for the error convergence rate of recursive least squares (RLS)-based direct self-tuning minimum-variance (DSTMV) regulation of minimum phase multiple time-delay autoregressive moving average with exogenous input (ARMAX) plant is derived. The RLS algorithm used is k-interlaced, with k being the plant time-delay. The bound is derived for known fixed b0 by extending a previ... View full abstract»

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  • On robustness and stabilization of linear systems with delayed nonlinear perturbations

    Publication Year: 1997, Page(s):1005 - 1007
    Cited by:  Papers (27)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (116 KB)

    In this paper, by employing a Razumikhin-type theorem, a robust stability criterion for a class of linear systems subject to delayed time-varying nonlinear perturbations is given. Then, stabilization of a class of linear systems subject to mismatched delayed time-varying nonlinear perturbations by linear controller is considered. For such systems, conditions which ensure closed-loop asymptotic sta... View full abstract»

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  • Lyapunov function construction by linear programming

    Publication Year: 1997, Page(s):1013 - 1016
    Cited by:  Papers (34)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (172 KB)

    In this paper the Lyapunov function given by the infinity norm is considered. A new proof of the theorem of Molchanov and Pyatintskii (1986) is given, The presented proof enables us to give an explicit calculation of the matrix which was only demonstrated to exist in the original paper. Combining the obtained result with the idea of scaling faces of a polytope gives the method of fitting the shape... View full abstract»

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  • A Lyapunov approach to exponential stabilization of nonholonomic systems in power form

    Publication Year: 1997, Page(s):1028 - 1032
    Cited by:  Papers (70)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (240 KB)

    In this paper a continuous feedback control law with time-periodic terms is derived for the control of nonholonomic systems in power form. The control law is derived by Lyapunov design from a homogeneous Lyapunov function. Global asymptotic stability is shown by applying the principle of invariance for time-periodic systems. Exponential convergence follows since the vector fields are homogeneous o... View full abstract»

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  • On the existence of supervisory policies that enforce liveness in discrete-event dynamic systems modeled by controlled Petri nets

    Publication Year: 1997, Page(s):928 - 945
    Cited by:  Papers (52)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (804 KB)

    We consider discrete-state plants represented by controlled Petri nets (CtlPNs), where a subset of transitions can be prevented from firing by a supervisor. A transition in a CtlPN can fire at a marking if there are sufficient tokens in its input places and it is permitted to fire by the supervisor. A CtlPN is live if it is possible to fire any transition from every marking that is reachable under... View full abstract»

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  • A dual formulation of mixed μ and on the losslessness of (D, G) scaling

    Publication Year: 1997, Page(s):1032 - 1036
    Cited by:  Papers (59)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (248 KB)

    This paper studies the mixed structured singular value, μ, and the well-known (D,G)-scaling upper bound, ν. A dual characterization of μ and ν is derived, which intimately links the two values. Using the duals it is shown that ν is guaranteed to be lossless (i.e. equal to μ) if and only if 2(mr+me)+mC ⩽3, where mr, mc; an... View full abstract»

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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