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IEEE Transactions on Automatic Control

Issue 8 • Date Aug. 2001

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Displaying Results 1 - 25 of 26
  • Nonsmooth analysis and control theory [Book Review]

    Publication Year: 2001, Page(s): 1343
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    Freely Available from IEEE
  • Fluid analysis of arrival routing

    Publication Year: 2001, Page(s):1254 - 1257
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (132 KB) | HTML iconHTML

    In Hajek's arrival routing problem (1984), customers are routed to one of n queues to minimize average holding cost. Interarrival and service times are exponentially distributed. We solve the associated fluid model. The optimal fluid policy tells us the asymptotic slopes of the switching surfaces in the original problem when the queues are large. If these slopes are nonzero, then numerical tests i... View full abstract»

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  • Stabilizing receding horizon H controls for linear continuous time-varying systems

    Publication Year: 2001, Page(s):1273 - 1279
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (232 KB) | HTML iconHTML

    In this note, new matrix inequality conditions on the terminal weighting matrices are proposed for linear continuous time-varying systems. Under these conditions, nonincreasing and nondecreasing monotonicities of the saddle point value of a dynamic game are shown to be guaranteed. It is proved that the proposed terminal inequality conditions ensure the closed-loop stability of the receding horizon... View full abstract»

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  • Stabilization of stochastic nonlinear systems driven by noise of unknown covariance

    Publication Year: 2001, Page(s):1237 - 1253
    Cited by:  Papers (279)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (532 KB) | HTML iconHTML

    This paper poses and solves a new problem of stochastic (nonlinear) disturbance attenuation where the task is to make the system solution bounded by a monotone function of the supremum of the covariance of the noise. This is a natural stochastic counterpart of the problem of input-to-state stabilization in the sense of Sontag (1989). Our development starts with a set of new global stochastic Lyapu... View full abstract»

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  • Rank-one LMIs and Lyapunov's inequality

    Publication Year: 2001, Page(s):1285 - 1288
    Cited by:  Papers (27)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (112 KB) | HTML iconHTML

    We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semidefinite programming. Links are established between the Lyapunov matrix, rank-one linear matrix inequalities (LMI), and the Lagrange multiplier arising in duality theory View full abstract»

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  • A note on uniform observability

    Publication Year: 2001, Page(s):1326 - 1327
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (80 KB) | HTML iconHTML

    We prove that the classical inequality Pt⩽𝒪 t-1Ct relating the variance of the Kalman filter estimate, the observability matrix, and the controllability matrix is not true. This inequality is the cornerstone of the asymptotic stability theory of the Kalman filter for time-varying systems. We provide another inequality of the same type View full abstract»

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  • A polynomial algorithm for testing diagnosability of discrete-event systems

    Publication Year: 2001, Page(s):1318 - 1321
    Cited by:  Papers (144)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (156 KB) | HTML iconHTML

    Failure diagnosis in large and complex systems is a critical task. In the realm of discrete-event systems, Sampath et al. (1995) proposed a language based failure diagnosis approach. They introduced the diagnosability for discrete-event systems and gave a method for testing the diagnosability by first constructing a diagnoser for the system. The complexity of this method of testing diagnosability ... View full abstract»

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  • Efficient active set optimization in triple mode MPC

    Publication Year: 2001, Page(s):1307 - 1312
    Cited by:  Papers (16)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB) | HTML iconHTML

    An active set algorithm tailored to quadratically constrained quadratic programming in model predictive control (MPC) is presented. It enables efficient use of augmented ellipsoidal invariant sets in conjunction with polytopic constraints in triple mode MPG. The algorithm gives improved optimality and larger stabilizable initial condition sets than conventional quadratic programming MPC algorithms... View full abstract»

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  • Power characterizations of input-to-state stability and integral input-to-state stability

    Publication Year: 2001, Page(s):1298 - 1303
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB) | HTML iconHTML

    New notions of external stability for nonlinear systems are introduced, making use of average powers as signal norms and comparison functions as in the input-to-state stability (ISS) framework. Several new characterizations of ISS and integral ISS are presented in terms of the new notions. An example is discussed to illustrate differences and similarities of the newly introduced properties View full abstract»

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  • Robust nonlinear integral control

    Publication Year: 2001, Page(s):1336 - 1342
    Cited by:  Papers (36)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (228 KB) | HTML iconHTML

    It is well known from linear systems theory that an integral control law is needed for asymptotic set-point regulation under parameter perturbations. The note presents a similar result fur a class of nonlinear systems in the presence of an unknown equilibrium due to uncertain nonlinearities and dynamic uncertainties. Both partial state and output feedback cases are considered. Sufficient small-gai... View full abstract»

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  • On the optimality of myopic production controls for single-server, continuous-flow manufacturing systems

    Publication Year: 2001, Page(s):1269 - 1273
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB) | HTML iconHTML

    In this note, we consider a broad class of dynamic scheduling problems associated with a single-server, multiclass, continuous-flow manufacturing system. Using a general framework, we provide conditions under which the solution to these problems is the implementation of a class of production controls called myopic scheduling policies. The proof of optimality, which is intuitively appealing, applie... View full abstract»

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  • An interacting multi-pattern probabilistic data association (IMP-PDA) algorithm for target tracking

    Publication Year: 2001, Page(s):1223 - 1236
    Cited by:  Papers (26)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB) | HTML iconHTML

    A theoretical development of a novel approach for target tracking based on multiple patterns extracted from measurement sequences is presented in this paper. The introduction of patterns leads to a new paradigm for developing high performance algorithms. An interacting multi-pattern probabilistic data association (IMP-PDA) algorithm is developed, taking the advantage of clever formulation of the i... View full abstract»

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  • Linearization condition through state feedback

    Publication Year: 2001, Page(s):1257 - 1260
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (124 KB) | HTML iconHTML

    It is shown that if a nonlinear system is linearly controllable, then it can always lead to the linearization condition through state feedback, provided the transformation satisfies an additional condition on the system input. The methodology proposed is to make the eigenvalues of the Jacobian of the system nonresonant. The generality of the proposed method allows the eigenvalues of the linear sys... View full abstract»

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  • H2 near-optimal model reduction

    Publication Year: 2001, Page(s):1279 - 1284
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (172 KB) | HTML iconHTML

    This note considers the problem of finding a stable reduced-order model for a given stable model so that its H2 model reduction cost differs by less than a prescribed error from the optimal cost, which may or may not be achievable. It is shown that this new version of the long-standing H2 optimal model reduction problem can be reduced to a well-posed smooth constrained minimi... View full abstract»

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  • A convergence analysis of generalized hill climbing algorithms

    Publication Year: 2001, Page(s):1288 - 1293
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (184 KB) | HTML iconHTML

    Generalized hill climbing (GHC) algorithms provide a well-defined framework for describing the performance of local search algorithms for discrete optimization problems. Necessary and sufficient convergence conditions for GHC algorithms are presented. These convergence conditions are derived using a new iteration classification scheme for GHC algorithms. The implications of the necessary and the s... View full abstract»

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  • Time maximum disturbance design for stable linear systems: a model predictive scheme

    Publication Year: 2001, Page(s):1327 - 1332
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (244 KB) | HTML iconHTML

    It is known that the most stressful bounded (time maximum) disturbance for stabilized linear systems is of bang-bang type. This bang-bang disturbance can often be implemented with a switch set of current states for second-order systems. The isochrones, as the level sets, determine the value of the disturbance index in a state space setting. We suggest an efficient way to construct the time maximum... View full abstract»

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  • H and positive-real control for linear neutral delay systems

    Publication Year: 2001, Page(s):1321 - 1326
    Cited by:  Papers (112)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB) | HTML iconHTML

    This note is concerned with the H and positive-real control problems for linear neutral delay systems. The purpose of H control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the H norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribe... View full abstract»

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  • H tuning for task-space feedback control of robot with uncertain Jacobian matrix

    Publication Year: 2001, Page(s):1313 - 1318
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (244 KB) | HTML iconHTML

    The H tuning problem for task-space feedback control of a robot with uncertain kinematics and Jacobian matrix from joint space to task space is formulated and solved. H tuning methods are presented for two task-space feedback controllers when the systems are subject to external disturbance. It is shown that the conditions for the establishment of H... View full abstract»

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  • Biquadratic stability of uncertain linear systems

    Publication Year: 2001, Page(s):1303 - 1307
    Cited by:  Papers (64)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (152 KB) | HTML iconHTML

    Deals with the problem of stability analysis for linear systems with uncertain real, possibly time-varying, parameters. A robust stability approach based on a Lyapunov function which depends quadratically on the uncertain parameters as well as in the system state is proposed. This robust stability approach, referred to as biquadratic stability, is suited to deal with uncertain real parameters with... View full abstract»

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  • An averaging approach to chattering

    Publication Year: 2001, Page(s):1260 - 1265
    Cited by:  Papers (94)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB) | HTML iconHTML

    The singularly perturbed relay control systems (SPRCS) as mathematical models of chattering in the small neighborhood of the switching surface in sliding mode systems are examined. Sufficient conditions for existence and stability of fast periodic solutions to the SPRCS are found. It is shown that the slow motions in such SPRCS are approximately described by equations derived from equations for th... View full abstract»

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  • A robust Smith predictor modified by internal models for integrating process with dead time

    Publication Year: 2001, Page(s):1293 - 1298
    Cited by:  Papers (32)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (168 KB) | HTML iconHTML

    The internal model principle and control together (IMPACT) structure of the Smith predictor is proposed. The structure constructively achieves both the robust stability and absorption of external disturbances. In the structure design, the absorption principle is applied to enable the rejection of arbitrary class of deterministic disturbances and/or to suppress the effects of low frequency stochast... View full abstract»

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  • On a discrete-time stochastic learning control algorithm

    Publication Year: 2001, Page(s):1333 - 1336
    Cited by:  Papers (36)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (136 KB) | HTML iconHTML

    In an earlier paper by the author (2001), the learning gain for a D-type learning algorithm, is derived based on minimizing the trace of the input error covariance matrix for linear time-varying systems. It is shown that, if the product of the input/output coupling matrices is full-column rank, then the input error covariance matrix converges uniformly to zero in the presence of uncorrelated rando... View full abstract»

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  • Fundamental limits in robustness and performance for unstable, underactuated systems

    Publication Year: 2001, Page(s):1265 - 1268
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (160 KB) | HTML iconHTML

    We derive bounds on the ℋ norm of a weighted output sensitivity function and a weighted output complementary sensitivity function for an underactuated, multiple-input-multiple-output (MIMO), linear, time-invariant (LTI), unstable plant in feedback with an internally stabilizing, LTI controller. These bounds indicate a limit to the achievable robustness and performance for su... View full abstract»

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  • Semi-global nonlinear output regulation with adaptive internal model

    Publication Year: 2001, Page(s):1178 - 1194
    Cited by:  Papers (272)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (448 KB) | HTML iconHTML

    We address the problem of output regulation for nonlinear systems driven by a linear, neutrally stable exosystem whose frequencies are not known a priori. We present a classical solution in terms of the parallel connection of a robust stabilizer and an internal model, where the latter is adaptively tuned to the device that reproduces the steady-state control necessary to maintain the output-zeroin... View full abstract»

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  • LPV system analysis via quadratic separator for uncertain implicit systems

    Publication Year: 2001, Page(s):1195 - 1208
    Cited by:  Papers (146)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (316 KB) | HTML iconHTML

    This paper considers a class of linear systems containing time-varying parameters whose behavior is not known exactly. We assume that the parameters vary within known intervals and there are known bounds on their rates of variation. Our objective is to give a computationally verifiable condition that guarantees stability of the system for all possible parameter variations. We first point out that ... 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

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Meet Our Editors

Editor-in-Chief
P. J. Antsaklis
Dept. Electrical Engineering
University of Notre Dame