IEEE Transactions on Automatic Control

Issue 2 • Feb. 2004

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Displaying Results 1 - 25 of 29
  • Table of contents

    Publication Year: 2004, Page(s):c1 - c4
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  • IEEE Transactions on Automatic Control publication information

    Publication Year: 2004, Page(s): c2
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  • Scanning

    Publication Year: 2004, Page(s): 161
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  • A unifying passivity framework for network flow control

    Publication Year: 2004, Page(s):162 - 174
    Cited by:  Papers (113)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (472 KB) | HTML iconHTML

    Network flow control regulates the traffic between sources and links based on congestion, and plays a critical role in ensuring satisfactory performance. In recent studies, global stability has been shown for several flow control schemes. By using a passivity approach, this paper presents a unifying framework which encompasses these stability results as special cases. In addition, the new approach... View full abstract»

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  • Flatness-based control of PER protein oscillations in a drosophila model

    Publication Year: 2004, Page(s):175 - 183
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB) | HTML iconHTML

    Rhythms, and specially circadian rhythms governed by an oscillating set of genes called the central clock, and their incidence on therapeutics, have become an important concern in biology and medicine. Restoration of altered rhythms for therapeutic purpose can be viewed as an open-loop control problem. We study in this paper a nonlinear oscillator modeling the central clock mechanism through the s... View full abstract»

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  • Computation of maximal safe sets for switching systems

    Publication Year: 2004, Page(s):184 - 195
    Cited by:  Papers (46)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (592 KB) | HTML iconHTML

    The problem of determining maximal safe sets and hybrid controllers is computationally intractable because of the mathematical generality of hybrid system models. Given the practical and theoretical relevance of the problem, finding implementable procedures that could at least approximate the maximal safe set is important. To this end, we begin by restricting our attention to a special class of hy... View full abstract»

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  • Nonuniform in time input-to-state stability and the small-gain theorem

    Publication Year: 2004, Page(s):196 - 216
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (512 KB) | HTML iconHTML

    For time-varying control systems various equivalent characterizations of the nonuniform in time input-to-state stability (ISS) property are established. These characterizations enable us to derive sufficient conditions for nonuniform in time ISS concerning composite time-varying systems. Our main result generalizes the well-known small-gain theorem due to Jiang-Teel-Praly for autonomous systems un... View full abstract»

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  • Balanced truncation of linear time-varying systems

    Publication Year: 2004, Page(s):217 - 229
    Cited by:  Papers (71)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (416 KB) | HTML iconHTML

    In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas. The case of time-varying state dimension is considered. In... View full abstract»

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  • Relationship between standard control problem and model-matching problem without coprime factorizability

    Publication Year: 2004, Page(s):230 - 233
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (184 KB) | HTML iconHTML

    We present the equivalence between a standard control problem and a model-matching problem without coprime factorizability of plants. This equivalence is well-known if every stabilizable plant admit a doubly coprime factorization. The result of this note does not require the coprime factorizability of plants. View full abstract»

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  • ARMAX identification via hereditary algorithm

    Publication Year: 2004, Page(s):233 - 238
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB) | HTML iconHTML

    In this note, we limit ourselves to the most commonly models used, say the output error model and auto regressive moving average with exogenous input. In both cases, we treat the case multiple-input-single-output. Our aim is to give the parameters of the model under lattice form, in reference to its numerical robustness allowing to deal with great state space dimension (>20). This calculation is a... View full abstract»

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  • Bootstrap statistical tests of rank determination for system identification

    Publication Year: 2004, Page(s):238 - 243
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (560 KB) | HTML iconHTML

    Identification of multivariate state-space models involves the specification of the dimension of the state vector. This note evaluates the performance of some asymptotic statistical tests of rank determination together with their bootstrapped versions against information criteria (IC) methods. Results show that certain bootstrapped procedures improve upon the performance of the corresponding asymp... View full abstract»

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  • Global H controllers for a class of nonlinear systems

    Publication Year: 2004, Page(s):244 - 249
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB) | HTML iconHTML

    In this note, the problem of state feedback H∞ control for a class of nonlinear systems is considered. The class under study is a generalization of the well-known Lur'e systems. The H∞ problem is addressed via a class of storage functions of the Lur'e-Postnikov type whose integral term is parameterized by a nonlinear scalar function. The related H∞ View full abstract»

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  • A new method for singular value loop shaping in design of multiple-channel controllers

    Publication Year: 2004, Page(s):249 - 253
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB) | HTML iconHTML

    In this note, simple symmetric interval bounds on the singular values of a matrix based on its Gershgorin disks are proposed. This allows the Gershgorin theorem to be used not only to provide information about the location of the eigenvalues of a matrix but also its singular values. This is utilized for the proposition of a new design technique for singular value loop shaping based on the diagonal... View full abstract»

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  • Real controllability/stabilizability radius of LTI systems

    Publication Year: 2004, Page(s):254 - 257
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB) | HTML iconHTML

    In this note, we present a simple and readily computable formula for the calculation of the real controllability/stabilizability and observability/detectability radii for linear time-invariant systems. View full abstract»

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  • Robust stability of two-time-scale systems with nonlinear uncertainties

    Publication Year: 2004, Page(s):258 - 261
    Cited by:  Papers (45)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (176 KB) | HTML iconHTML

    This note is concerned with the robust stability problem of uncertain two-time-scale systems, where the only information available for system uncertainties is their norm upper bounds. The stability bound ε* is derived via a state transformation and the constructive use of a Lyapunov function. Finally, examples are given to illustrate the applications of the proposed results. View full abstract»

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  • Nonhomogeneous nilpotent approximations for nonholonomic systems with singularities

    Publication Year: 2004, Page(s):261 - 266
    Cited by:  Papers (23)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB) | HTML iconHTML

    Nilpotent approximations are a useful tool for analyzing and controlling systems whose tangent linearization does not preserve controllability, such as nonholonomic mechanisms. However, conventional homogeneous approximations exhibit a drawback: in the neighborhood of singular points (where the system growth vector is not constant) the vector fields of the approximate dynamics do not vary continuo... View full abstract»

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  • Control with disturbance preview and online optimization

    Publication Year: 2004, Page(s):266 - 270
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (280 KB) | HTML iconHTML

    We present a intuitive and self-contained formulation of a stability preserving receding horizon control strategy for a system where limited preview information is available for the disturbances. The simplicity of the derivation is due to (and its benefits somewhat offset by) a set of stringent and highly structured assumptions. The formulation uses a suboptimal value function for terminal cost, a... View full abstract»

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  • Numerical solution of the optimal periodic control problem using differential flatness

    Publication Year: 2004, Page(s):271 - 275
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB) | HTML iconHTML

    Optimal periodic control (OPC) is of interest in many engineering applications. In practice, the numerical solution of the OPC problem has been found to be quite challenging. In this note, we present a method which uses differential flatness for the solution of OPC problems. The OPC problem is reformulated using the flatness of the underlying dynamical system to eliminate the differential equation... View full abstract»

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  • Observer based learning control for a class of nonlinear systems with time-varying parametric uncertainties

    Publication Year: 2004, Page(s):275 - 281
    Cited by:  Papers (38)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB) | HTML iconHTML

    In this note, a new learning control approach, combined with state estimation, is developed to perform output tracking problems where the state information is not available. By virtue of the learning capability, the control mechanism is able to handle a class of rapid time-varying parametric uncertainties which are periodic and the only prior knowledge is the periodicity. Two classes of system non... View full abstract»

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  • A new parity space approach for fault detection based on stationary wavelet transform

    Publication Year: 2004, Page(s):281 - 287
    Cited by:  Papers (42)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (352 KB) | HTML iconHTML

    In the traditional parity relation based fault detection approach, a lower order parity vector means a simpler online realization but a poorer performance index, while a higher order parity vector brings a better performance index but leads to a higher computational load and a higher rate of misdetection. In this note, by introducing the so-called stationary wavelet transform into the residual sig... View full abstract»

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  • System types in feedback control with saturating actuators

    Publication Year: 2004, Page(s):287 - 291
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (240 KB) | HTML iconHTML

    This note extends the classical notion of system type to feedback control with saturating actuators. For step, ramp, and parabolic inputs, it defines the so-called trackable domains and evaluates steady-state errors. It shows that, unlike the linear case, the role of the poles at the origin of the plant and the controller are different and, on this basis, extends the notion of system type. In addi... View full abstract»

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  • Improved Routh-Pade´ approximants: a computer-aided approach

    Publication Year: 2004, Page(s):292 - 296
    Cited by:  Papers (32)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (176 KB) | HTML iconHTML

    A geometric programming based computer-aided method to derive a reduced order (rth-order) approximant for a given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between a set of subsequent time moments/Markov parameters of the system and those of the model are minimized. View full abstract»

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  • A shaping limitation of rational sensitivity functions with a degree constraint

    Publication Year: 2004, Page(s):296 - 300
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (248 KB) | HTML iconHTML

    This note concerns a certain shaping limitation of sensitivity functions. The focus is on a frequency-wise infimum of gains of rational sensitivity functions with a degree constraint. An explicit infimum is derived for a special case. The result is useful for determining the inability of sensitivity functions of low degrees to achieve a specification in the frequency domain, and thus for motivatin... View full abstract»

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  • Closed-loop shaping based on Nevanlinna-Pick interpolation with a degree bound

    Publication Year: 2004, Page(s):300 - 305
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB) | HTML iconHTML

    This note presents a novel method for shaping the frequency response of a single-input-single-output closed-loop system, based on the theory of Nevanlinna-Pick interpolation with degree constraint. The method imposes a degree bound on the closed-loop transfer function and searches for a function with a desired frequency response. Numerical examples illustrate the potential of the method in designi... View full abstract»

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  • Fault tolerant control: a simultaneous stabilization result

    Publication Year: 2004, Page(s):305 - 310
    Cited by:  Papers (71)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB) | HTML iconHTML

    This note discusses the problem of designing fault tolerant compensators that stabilize a given system both in the nominal situation, as well as in the situation where one of the sensors or one of the actuators has failed. It is shown that such compensators always exist, provided that the system is detectable from each output and that it is stabilizable. The proof of this result is constructive, a... 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