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IEEE Transactions on Automatic Control

Issue 5 • Date May 2000

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Displaying Results 1 - 25 of 33
  • Comments on "Robustifying nonlinear systems using high-order neural network controllers"

    Publication Year: 2000, Page(s):1033 - 1036
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (177 KB)

    *** PLEASE ASK ME ABOUT THIS (PHILIP) *** In the original paper by G.A. Rovithakis (ibid., vol.44, p.102-8, 1999), a nonlinear dynamical system is considered. The author indicates that Rovithakis overlooked some essential assumptions on the allowable perturbations, that the problem is therefore not well-posed, and that the controller derived is incorrect Rovithakis replies that it is well known th... View full abstract»

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  • Author's reply

    Publication Year: 2000, Page(s): 1036
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (47 KB)

    First Page of the Article
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  • Random iterative models [Book Reviews]

    Publication Year: 2000, Page(s):1037 - 1039
    Request permission for commercial reuse | PDF file iconPDF (63 KB)
    Freely Available from IEEE
  • On the design of a nonlinear adaptive variable structure derivative estimator

    Publication Year: 2000, Page(s):1028 - 1033
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB)

    Develops a derivative estimator using variable structure system (VSS) and adaptive techniques. The proposed nonlinear adaptive variable structure derivative estimator requires little knowledge about the observed signal source and is able to handle the observed signals that are the outputs of either linear or nonlinear dynamic systems with uncertainties. In the absence of system noise, the uniform ... View full abstract»

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  • Admission control in stochastic event graphs

    Publication Year: 2000, Page(s):854 - 867
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    We first show that the expectation of convex increasing functions of the workload (or waiting time) in (max, +) linear systems, under a single input sequence, is multi-modular. This is done using a coupling argument and a vectorial version of Lindley's equation. Next, we use this result and the optimization theory based on multi-modular costs to construct the optimal open-loop admission control in... View full abstract»

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  • Stochastic approximation and user adaptation in a competitive resource sharing system

    Publication Year: 2000, Page(s):844 - 853
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB)

    This paper is motivated by the work of Altman and Shimkin (1998). Customers arrive at a service center and must choose between two types of service: a channel that is shared by all currently in it and a dedicated line. The mean service cost (or time) for any customer entering the shared resource depends on the decisions of all future arrivals up to the time of departure of that customer, and so ha... View full abstract»

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  • Continuity of the solution of the Riccati equations for continuous time JLQP

    Publication Year: 2000, Page(s):934 - 937
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (156 KB)

    In this paper the continuity of the solution of the differential and algebraic Riccati equations for a continuous-time, Markovian, jump linear quadratic control problem as a function of coefficients is verified. The assumptions for this are stochastic stabilizability and observability View full abstract»

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  • Observation control for discrete-continuous stochastic systems

    Publication Year: 2000, Page(s):993 - 998
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (220 KB)

    Presents a theoretical framework for the optimization of observations in partially observable linear discrete-continuous stochastic systems. The problem of achievement of the best quality of estimation with discrete and continuous observations is reduced to a deterministic one with impulse or generalized control. An approach based on the discontinuous time transformation is presented and used to r... View full abstract»

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  • A state observer for nonlinear systems and its application to ball and beam system

    Publication Year: 2000, Page(s):968 - 973
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (212 KB)

    In this paper, we present a state observer for single-input/single-output nonlinear systems which fail to have well defined relative degree. It is shown that there exists a local state observer for a nonlinear system if it has robust relative degree n. The proposed observer utilizes the coordinate change which transforms a system into an approximate normal form. The proposed method is applied to a... View full abstract»

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  • Instantaneous impulse response of nonlinear system

    Publication Year: 2000, Page(s):999 - 1001
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (112 KB)

    Mathematical models for nonlinear systems, which admit both standard integrable and impulsive inputs are developed. It is shown that instantaneous response of a nonlinear system to an impulse is not, in general, single-valued, whereas a particular response can be selected through the construction of an auxiliary system. The complete integrability of the auxiliary system is proven to guarantee uniq... View full abstract»

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  • Existence and design of functional observers for linear systems

    Publication Year: 2000, Page(s):940 - 943
    Cited by:  Papers (57)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (112 KB)

    This paper presents straightforward derivations of the functional observers design for linear time-invariant multivariable systems. The order of these observers is equal to the dimension τ of the vector to be estimated. Necessary and sufficient conditions for the existence and stability of these observers are given. Illustrative examples are included View full abstract»

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  • Discontinuous unit feedback control of uncertain infinite-dimensional systems

    Publication Year: 2000, Page(s):834 - 843
    Cited by:  Papers (34)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (244 KB)

    Control systems, driven by a discontinuous unit feedback in a Hilbert space, are studied. The equation which describes a system motion, taking place in the discontinuity manifold and further referred to as a sliding mode, is derived by means of a special regularization technique. Based on the sliding mode equation, the procedure of synthesis of a discontinuous unit control signal is developed. Res... View full abstract»

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  • Control system design for mechanical systems using contraction theory

    Publication Year: 2000, Page(s):984 - 989
    Cited by:  Papers (26)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB)

    Contraction theory is a control system tool based on an exact differential analysis of convergence. After establishing new combination properties of contracting systems, the paper derives new controller and observer designs for mechanical systems such as aircraft and underwater vehicles. The classical nonlinear strap down algorithm is also shown to be marginally contracting. The relative simplicit... View full abstract»

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  • Exponential stabilization of a class of unstable bilinear systems

    Publication Year: 2000, Page(s):989 - 992
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (136 KB)

    Considers the control design of bilinear systems with multiplicative control inputs. Previous control designs for such systems normally assume that the open-loop bilinear system is (neutrally) stable. In this paper, a nonlinear control design is proposed for open-loop unstable bilinear systems. The new control stabilizes the bilinear system globally and exponentially if a sufficient stability cond... View full abstract»

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  • A new linear adaptive controller: design, analysis and performance

    Publication Year: 2000, Page(s):883 - 897
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (432 KB)

    The certainty equivalence and polynomial approach, widely used for designing adaptive controllers, leads to “simple” adaptive control designs that guarantee stability, asymptotic error convergence, and robustness, but not necessarily good transient performance. Backstepping and tuning functions techniques, on the other hand, are used to design adaptive controllers that guarantee stabil... View full abstract»

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  • Using scales in the multiobjective approach

    Publication Year: 2000, Page(s):973 - 977
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (156 KB)

    Scales are used to reduce the conservatism encountered in most multiobjective approaches to control design. The most general case (i.e., matrix scales) results in a nonconvex problem, though the use of scalar scales leads to convex searches in the analysis and state feedback problems. Output feedback synthesis and other extensions are discussed. Numerical examples are provided to show the effectiv... View full abstract»

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  • Optimal adaptive control for estimation of parameters of ARX models

    Publication Year: 2000, Page(s):964 - 968
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB)

    The objective of this paper is to find an adaptive control strategy which would enable us to estimate the parameters of the ARX model as accurately as possible while keeping the output of the system below a specified level of variability. It turns out that this optimal experiment design problem can be solved by using the Astrom-Wittenmark self-tuning tracker (1973) with a specific choice of the re... View full abstract»

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  • Gaussian filters for nonlinear filtering problems

    Publication Year: 2000, Page(s):910 - 927
    Cited by:  Papers (304)  |  Patents (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (432 KB)

    We develop and analyze real-time and accurate filters for nonlinear filtering problems based on the Gaussian distributions. We present the systematic formulation of Gaussian filters and develop efficient and accurate numerical integration of the optimal filter. We also discuss the mixed Gaussian filters in which the conditional probability density is approximated by the sum of Gaussian distributio... View full abstract»

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  • Virtual reference direct design method: an off-line approach to data-based control system design

    Publication Year: 2000, Page(s):954 - 959
    Cited by:  Papers (27)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (212 KB)

    This paper presents a direct model-reference approach to the off-line design of linear controllers, suited to deal with plants described by a single set of open-loop I/O measurements only. The method is direct inasmuch as the controller parameters are directly estimated with no preliminary identification of any model to describe the plant. The design can be carried out off-line and, in the present... View full abstract»

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  • Global output-feedback tracking for a benchmark nonlinear system

    Publication Year: 2000, Page(s):1023 - 1027
    Cited by:  Papers (37)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (180 KB)

    The output-feedback global tracking problem is solved for the well-known nonlinear benchmark RTAC (rotational-translational actuator) system, in which one of the unmeasured states appears quadratically in the state equations. Our observer/controller backstepping design yields a nonlinear output-feedback controller that forces the translational displacement to globally asymptotically track an appro... View full abstract»

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  • Maximum likelihood parameter estimation from incomplete data via the sensitivity equations: the continuous-time case

    Publication Year: 2000, Page(s):928 - 934
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB)

    This paper deals with maximum likelihood (ML) parameter estimation of continuous-time nonlinear partially observed stochastic systems, via the expectation maximization (EM) algorithm. It is shown that the EM algorithm can be executed efficiently, provided the unnormalized conditional density of nonlinear filtering is either explicitly solvable or numerically implemented. The methodology exploits t... View full abstract»

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  • Robust and minimum norm pole assignment with periodic state feedback

    Publication Year: 2000, Page(s):1017 - 1022
    Cited by:  Papers (26)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB)

    A computational approach is proposed to solve the minimum norm or robust pole assignment problem for linear periodic discrete-time systems. The proposed approach uses a periodic Sylvester-equation-based parametrization of the periodic pole assignment problem and exploits the nonuniqueness of the problem by imposing conditions on the norm of the resulting periodic state feedback or on the condition... View full abstract»

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  • Output feedback control of Markov jump linear systems in continuous-time

    Publication Year: 2000, Page(s):944 - 949
    Cited by:  Papers (136)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (204 KB)

    This paper addresses the dynamic output feedback control problem of continuous-time Markovian jump linear systems. The fundamental point in the analysis is an LMI characterization, comprising all dynamical compensators that stabilize the closed-loop system in the mean square sense. The H2 and H-norm control problems are studied, and the H2 and H... View full abstract»

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  • Stochastic adaptive one-step-ahead optimal controllers based on input matching

    Publication Year: 2000, Page(s):980 - 983
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (152 KB)

    Optimal adaptive controller based on the ELS algorithm is established using the input matching technique. The control signal is reduced to a constant weighted sum of the measurable information-state vector components using a one-step-ahead quadratic cost function to govern the behavior of the stochastic linear systems. The control effort can be estimated globally. The algorithm also predicts the c... View full abstract»

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  • A receding horizon generalization of pointwise min-norm controllers

    Publication Year: 2000, Page(s):898 - 909
    Cited by:  Papers (68)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    Control Lyapunov functions (CLFs) are used in conjunction with receding horizon control to develop a new class of receding horizon control schemes. In the process, strong connections between the seemingly disparate approaches are revealed, leading to a unified picture that ties together the notions of pointwise min-norm, receding horizon, and optimal control. This framework is used to develop a CL... 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