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IEEE Transactions on Automatic Control

Issue 9 • Sept. 2006

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Displaying Results 1 - 25 of 34
  • Table of contents

    Publication Year: 2006, Page(s):c1 - c4
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  • IEEE Transactions on Automatic Control publication information

    Publication Year: 2006, Page(s): c2
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  • Generalized Sliding Mode Control for Multi-Input Nonlinear Systems

    Publication Year: 2006, Page(s): 1409
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  • Generalized Sliding-Mode Control for Multi-Input Nonlinear Systems

    Publication Year: 2006, Page(s):1410 - 1422
    Cited by:  Papers (21)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (487 KB) | HTML iconHTML

    The purpose of this paper is to present a framework for the design of sliding-mode based controllers for multi-input affine nonlinear systems. In this framework the control effort goes to zero as the state approaches the sliding surface, a key feature for practical implementation. The sliding surface is a submanifold with codimension equal to the dimension of the involutive distribution G generate... View full abstract»

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  • Near Optimal LQR Performance for a Compact Set of Plants

    Publication Year: 2006, Page(s):1423 - 1439
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (506 KB) | HTML iconHTML

    Here we consider the problem of providing near optimal performance (in this context, "near optimal performance" means performance as close to optimality as desired) for a large set of possible models. We adopt the linear quadratic regulator (LQR) framework in the single-input-single-output (SISO) setting, and prove that given a compact set of controllable and observable plant models of a fixed ord... View full abstract»

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  • Global-Stabilizing Near-Optimal Control Design for Nonholonomic Chained Systems

    Publication Year: 2006, Page(s):1440 - 1456
    Cited by:  Papers (35)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (694 KB) | HTML iconHTML

    It is well known that a nonlinear optimal control requires the solution to a two-point boundary value problem or to a nonlinear partial differential equation and that such a solution can only be obtained off line by numerical iteration. In this paper, a new and near-optimal control design framework is proposed for controlling any nonholonomic system in the chained form. The proposed design is base... View full abstract»

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  • Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems

    Publication Year: 2006, Page(s):1457 - 1471
    Cited by:  Papers (75)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (575 KB) | HTML iconHTML

    We present a nonsmooth output feedback framework for local and/or global stabilization of a class of nonlinear systems that are not smoothly stabilizable nor uniformly observable. A systematic design method is presented for the construction of stabilizing, dynamic output compensators that are nonsmooth but Houmllder continuous. A new ingredient of the proposed output feedback control scheme is the... View full abstract»

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  • Deadlock-Freeness Analysis of Continuous Mono-T-Semiflow Petri Nets

    Publication Year: 2006, Page(s):1472 - 1481
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (605 KB) | HTML iconHTML

    Most verification techniques for highly populated discrete systems suffer from the state explosion problem. The "fluidification" of discrete systems is a classical relaxation technique that aims to avoid the state explosion problem. Continuous Petri nets are the result of fluidifying traditional discrete Petri nets. In continuous Petri nets the firing of a transition is not constrained to the natu... View full abstract»

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  • Delay-Independent Stability Conditions for Time-Varying Nonlinear Uncertain Systems

    Publication Year: 2006, Page(s):1482 - 1486
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB) | HTML iconHTML

    A new stability criterion for time-varying systems consisting of linear and norm bounded nonlinear terms with uncertain time-varying delays is formulated. An explicit delay-independent sufficient stability condition is formulated in the terms of the transition matrix of the given linear part without delay and the bounds for the uncertain terms. The obtained condition turns out to be also necessary... View full abstract»

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  • Accessibility of Switched Linear Systems

    Publication Year: 2006, Page(s):1486 - 1491
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (299 KB) | HTML iconHTML

    This note considers the controllability of switched linear systems. The structure of accessibility Lie algebra is revealed. Some accessibility properties are proved. Certain necessary and sufficient conditions for (local or global, weak or normal) controllability of a large class of switched linear systems are obtained View full abstract»

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  • Robust Stabilization for Single-Input Polytopic Nonlinear Systems

    Publication Year: 2006, Page(s):1492 - 1496
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (203 KB) | HTML iconHTML

    This note deals with the stabilization problem of single-input polytopic nonlinear systems. The robust control Lyapunov function approach is used to derive a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controllers. The obtained sufficient condition is proven also necessary for the existence of stabilizing state feedback controller... View full abstract»

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  • Affine Controller Parameterization for Decentralized Control Over Banach Spaces

    Publication Year: 2006, Page(s):1497 - 1500
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (170 KB) | HTML iconHTML

    We cast the problem of optimal decentralized control as one of minimizing a closed-loop norm subject to a subspace constraint on the controller. In this note, we consider continuous linear operators on Banach spaces, and show that a simple property called quadratic invariance is necessary and sufficient for the constraint set to be preserved under feedback, and thus allows optimal synthesis to be ... View full abstract»

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  • New Exponential Estimates for Time-Delay Systems

    Publication Year: 2006, Page(s):1501 - 1505
    Cited by:  Papers (58)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (215 KB) | HTML iconHTML

    This note considers the problem of exponential stability for time-delay systems. In terms of linear matrix inequalities, a new sufficient condition for exponential stability is obtained. Based on this, an improved upper bound of the decay rate can be easily calculated. When time-varying norm-bounded parameter uncertainties appear, a new sufficient condition for robust exponential stability of unce... View full abstract»

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  • Eigenvalue Inequalities for Matrix Product

    Publication Year: 2006, Page(s):1506 - 1509
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (179 KB) | HTML iconHTML

    We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues View full abstract»

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  • Exact Stability Analysis of 2-D Systems Using LMIs

    Publication Year: 2006, Page(s):1509 - 1513
    Cited by:  Papers (39)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (251 KB) | HTML iconHTML

    In this note, we propose necessary and sufficient conditions for the asymptotic stability analysis of two-dimensional (2-D) systems in terms linear matrix inequalities (LMIs). By introducing a guardian map for the set of Schur stable complex matrices, we first reduce the stability analysis problems into nonsingularity analysis problems of parameter-dependent complex matrices. Then, by means of the... View full abstract»

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  • Boundedness and Global Stability of a Nonlinear Congestion Control With Delays

    Publication Year: 2006, Page(s):1514 - 1519
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (268 KB) | HTML iconHTML

    This note concerns the global dynamics of a "dual" nonlinear congestion control with time-delays. It has been shown that such control laws are able to maintain local dynamic stability around their unique equilibrium point for networks of arbitrary delay, capacity and topology. We focus here on the case of a single bottleneck network, shared by traffic sources with heterogeneous delays. We first pr... View full abstract»

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  • Robustness With Respect to Sampling for Stabilization of Riesz Spectral Systems

    Publication Year: 2006, Page(s):1519 - 1522
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (193 KB) | HTML iconHTML

    We suppose that a continuous-time feedback is input-output stabilizing for an infinite-dimensional system. We address the question of whether the sampled-data controller obtained by applying idealized sample-and-hold to this continuous-time feedback is also input-output stabilizing if the sampling time is small enough. This question has been previously addressed for fairly general systems under va... View full abstract»

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  • A Policy Improvement Method in Constrained Stochastic Dynamic Programming

    Publication Year: 2006, Page(s):1523 - 1526
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (203 KB) | HTML iconHTML

    This note presents a formal method of improving a given base-policy such that the performance of the resulting policy is no worse than that of the base-policy at all states in constrained stochastic dynamic programming. We consider finite horizon and discounted infinite horizon cases. The improvement method induces a policy iteration-type algorithm that converges to a local optimal policy View full abstract»

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  • Sliding-Mode Control of Retarded Nonlinear Systems Via Finite Spectrum Assignment Approach

    Publication Year: 2006, Page(s):1527 - 1531
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB) | HTML iconHTML

    In the present study, a sliding-mode control design method based on the finite spectrum assignment procedure is proposed. The finite spectrum assignment for retarded nonlinear systems can transform retarded nonlinear systems into delay-free linear systems via a variable transformation and a feedback, which contain the past values of the state. This method can be considered to be an extension of bo... View full abstract»

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  • On Discretization of Continuous-Time Terminal Sliding Mode

    Publication Year: 2006, Page(s):1532 - 1536
    Cited by:  Papers (44)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (212 KB) | HTML iconHTML

    In terminal sliding-mode control, the system states are brought to the origin in finite time using the concept of sliding-mode control. Though the theory of terminal sliding mode is well studied for continuous time systems, a discrete-time terminal sliding mode concept has not been investigated. This note analyses the applicability of terminal sliding-mode control in the discrete-time framework an... View full abstract»

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  • Compositional Contraction Analysis of Resetting Hybrid Systems

    Publication Year: 2006, Page(s):1536 - 1541
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB) | HTML iconHTML

    This note develops sufficient conditions for exponential convergence of resetting hybrid nonlinear dynamical systems. Using nonlinear contraction theory, the analysis first develops a unified formulation of continuous-time and discrete-time nonlinear dynamics based on a differential transition matrix. This yields enhanced dwell-time based conditions for stability of such systems analogous to those... View full abstract»

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  • Robust Detectability From the Measurements Plus State Feedback Stabilization Imply Semiglobal Stabilization From the Measurements

    Publication Year: 2006, Page(s):1542 - 1547
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (336 KB) | HTML iconHTML

    We study the problem of stabilizing with large regions of attraction a general class of nonlinear system consisting of a linear nominal system plus uncertainties. A similar result was given by the same author in previous works; in this note, we prove that what was referred in these works to as "nonlinear coupling condition" can be reformulated in the control design as a "nonlinear rescaling" of th... View full abstract»

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  • Regional Input-to-State Stability for Nonlinear Model Predictive Control

    Publication Year: 2006, Page(s):1548 - 1553
    Cited by:  Papers (90)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (270 KB) | HTML iconHTML

    In this note, regional input-to-state stability (ISS) is introduced and studied in order to analyze the domain of attraction of nonlinear constrained systems with disturbances. ISS is derived by means of a non smooth ISS-Lyapunov function with an upper bound guaranteed only in a sub-region of the domain of attraction. These results are used to study the ISS properties of nonlinear model predictive... View full abstract»

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  • On Pole Placement via Eigenstructure Assignment Approach

    Publication Year: 2006, Page(s):1554 - 1558
    Cited by:  Papers (21)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (230 KB) | HTML iconHTML

    This note comes back to the hard problem of pole placement by static output feedback: let a triplet of matrices {A;B;C} be given with n state variables, m inputs and p ouputs, find a matrix K such that the spectrum of A+BKC equals a specified set. When mp>m+p, a simple noniterative technique based upon the notion of eigenstructure that, in most cases, assigns m+p roots is proposed. It, therefor... View full abstract»

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  • Uniform Sample Generations from Contractive Block Toeplitz Matrices

    Publication Year: 2006, Page(s):1559 - 1565
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (358 KB) | HTML iconHTML

    This note deals with generating a series of random matrices uniformly and independently from contractive lower triangular block Toeplitz (LTBT) matrices. All the contractive LTBT matrices are parameterized nonlinearly but recursively in a closed-form by a sequence of contractive unstructured matrices. Moreover, the conditional probability density function (PDF) is obtained in a closed-form for all... 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