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Automatic Control, IEEE Transactions on

Issue 3 • Date March 2001

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Displaying Results 1 - 25 of 26
  • Comments on "A new robust control for a class of uncertain discrete-time systems"

    Publication Year: 2001 , Page(s): 509 - 511
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (107 KB)  

    A completed proof for a theorem on the robust controller design proposed in Wang and Ghosh (ibid. vol.43 (1997)) is presented in this paper. View full abstract»

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  • Comments on "The unreasonable effectiveness of neural network approximation" [with reply]

    Publication Year: 2001 , Page(s): 511 - 513
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (41 KB)  

    This paper discusses the misleading nature of the rate of approximation result reported in the paper by Dingankar (ibid. vol.44, 1999). In reply, Dingankar explains why the original statement of the theorem in that paper is correct as it stands, and clarifies the statements in the original paper. He points out how a proper understanding of the terminology resolves the first objection of the commentator and briefly outlines the directions he is pursuing in a separate research based on the second and the third recommendations. View full abstract»

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  • Comments on "The unreasonable effectiveness of neural network approximation

    Publication Year: 2001 , Page(s): 511 - 512
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (68 KB) |  | HTML iconHTML  

    First Page of the Article
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  • Author's reply: Comments on "The unreasonable effectiveness of neural network approximation."

    Publication Year: 2001 , Page(s): 512 - 513
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (39 KB) |  | HTML iconHTML  

    First Page of the Article
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  • Correction to "Asymptotically stable walking for biped robots: analysis via systems with impulse effects"

    Publication Year: 2001 , Page(s): 513
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (10 KB)  

    First Page of the Article
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  • Estimators for uncertain dynamic systems [Book Reviews]

    Publication Year: 2001 , Page(s): 514
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    Freely Available from IEEE
  • Optimal control of a class of hybrid systems

    Publication Year: 2001 , Page(s): 398 - 415
    Cited by:  Papers (107)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (436 KB) |  | HTML iconHTML  

    We present a modeling framework for hybrid systems intended to capture the interaction of event-driven and time-driven dynamics. This is motivated by the structure of many manufacturing environments where discrete entities (termed jobs) are processed through a network of workcenters so as to change their physical characteristics. Associated with each job is a temporal state subject to event-driven dynamics and a physical state subject to time-driven dynamics. Based on this framework, we formulate and analyze a class of optimal control problems for single-stage processes. First-order optimality conditions are derived and several properties of optimal state trajectories (sample paths) are identified which significantly simplify the task of obtaining explicit optimal control policies View full abstract»

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  • Optimal control of a marketing-production system

    Publication Year: 2001 , Page(s): 416 - 427
    Cited by:  Papers (10)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (308 KB) |  | HTML iconHTML  

    This paper is concerned with scheduling of a marketing-production system in which the demand rate changes in accordance with marketing actions. Our goal is to provide illuminating descriptions and insight on the optimal control policies. A basic building-block model involving a single machine is developed. The objective is to choose the rates of production and marketing to maximize the overall profit. Consisting of a pair of hedging points, the optimal policy is attractive in practice because of its simplicity and can be computed by solving algebraic equations. Aiming at obtaining analytic solutions, various control regions of the optimal policy are depicted; the structure of the hedging-point policy is fully analyzed View full abstract»

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  • Linear functional observers for systems with delays in state variables

    Publication Year: 2001 , Page(s): 491 - 496
    Cited by:  Papers (50)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (184 KB) |  | HTML iconHTML  

    This paper is concerned with the design of linear functional state observers for systems with delays in state variables. In particular, the necessary and sufficient conditions for the existence of the rth-order observers are given. Sufficient conditions for the stability dependent of delays and stability independent of delays are derived using linear matrix-in-equality formulation. A systematic design method of these observers is presented. Numerical examples are given to illustrate this method View full abstract»

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  • Bisection algorithm for computing the frequency response gain of sampled-data systems - infinite-dimensional congruent transformation approach

    Publication Year: 2001 , Page(s): 369 - 381
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (320 KB) |  | HTML iconHTML  

    This paper derives a bisection algorithm for computing the frequency response gain of sampled-data systems with their intersample behavior taken into account. The properties of the infinite-dimensional congruent transformation (i.e., the Schur complement arguments and the Sylvester law of inertia) play a key role in the derivation. Specifically, it is highlighted that counting up the numbers of the negative eigenvalues of self-adjoint operators is quite important for the computation of the frequency response gain. This contrasts with the well-known arguments on the related issue of the sampled-data H problem, where the key role is played by the positivity of operators and the loop-shifting technique. The effectiveness of the derived algorithm is demonstrated through a numerical example View full abstract»

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  • Some algebraic aspects of the strong stabilizability of time-delay linear systems

    Publication Year: 2001 , Page(s): 454 - 457
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (108 KB) |  | HTML iconHTML  

    This note considers some algebraic aspects of the output feedback strong stabilizability of time-delay linear systems. A sufficient condition for the existence of a stable finite-dimensional stabilizing compensator for a single-input-single-output (SISO) time-delay system is given. An illustrative example is also given, and two open problems are posed View full abstract»

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  • Robust and adaptive boundary control of a stretched string on a moving transporter

    Publication Year: 2001 , Page(s): 470 - 476
    Cited by:  Papers (16)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (216 KB) |  | HTML iconHTML  

    Suppression of vibration is an important engineering problem. In this note, control problem of a flexible system that includes a stretched string supported on a transporter is defined and solved. Such a system may be encountered in device manufacturing and process automation. Robust and adaptive control is designed to damp out transverse oscillation of the string via compensating for possible uncertainties in string dynamics and transporter motion. Standard robust control design based on a straightforward Lyapunov argument commonly seen in control design for rigid-body systems is extended to the flexible system. Asymptotically/exponentially and robustly stabilizing controls are found View full abstract»

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  • Further remarks on additional dynamics in various model transformations of linear delay systems

    Publication Year: 2001 , Page(s): 497 - 500
    Cited by:  Papers (63)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (136 KB) |  | HTML iconHTML  

    This paper focuses on the analysis of conservatism introduced due to some model transformations used in the control literature. This work is an extension of a previous paper by the authors (1999) on additional dynamics. The additional dynamics of the second order and parametrized model transformations are examined. The neutral model transformation introduces additional constraints for stability, which can be analyzed in a very similar manner to additional dynamics View full abstract»

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  • Stability of time-delay systems: equivalence between Lyapunov and scaled small-gain conditions

    Publication Year: 2001 , Page(s): 482 - 486
    Cited by:  Papers (76)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (180 KB) |  | HTML iconHTML  

    It is demonstrated that many previously reported Lyapunov-based stability conditions for time-delay systems are equivalent to the robust stability analysis of an uncertain comparison system free of delays via the use of the scaled small-gain lemma with constant scales. The novelty of this note stems from the fact that it unifies several existing stability results under the same framework. In addition, it offers insights on how new, less conservative results can be developed View full abstract»

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  • Failure-prone production systems with uncertain demand

    Publication Year: 2001 , Page(s): 441 - 449
    Cited by:  Papers (16)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (228 KB) |  | HTML iconHTML  

    We consider a failure-prone manufacturing system with bursty demand arrivals. We prove that the hedging-point policy is optimal for this problem and provide analytical expressions to compute the hedging point. This allows us to compare our exact results to simpler approximations. We also show that our result leads to the solution for the constant demand rate problem, under an appropriate scaling of the demand process. We also provide a necessary and sufficient condition under which the just-in-time (JIT) policy is optimal for the case of linear, absolute value instantaneous cost View full abstract»

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  • Upper matrix bounds for the discrete algebraic Riccati matrix equation

    Publication Year: 2001 , Page(s): 504 - 508
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (172 KB) |  | HTML iconHTML  

    We propose upper matrix bounds for the discrete algebraic Riccati matrix equation. We show that our results are less restrictive than the previous bounds. Finally, we give numerical examples in order to verify the effectiveness of our results View full abstract»

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  • The Witsenhausen counterexample: a hierarchical search approach for nonconvex optimization problems

    Publication Year: 2001 , Page(s): 382 - 397
    Cited by:  Papers (23)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (328 KB) |  | HTML iconHTML  

    The Witsenhausens counterexample (1968) is a difficult nonconvex functional optimization problem which has been outstanding for more than 30 years. Considerable amount of literature has been accumulated, but optimal solutions remain elusive. In this paper, we develop a framework that allows one to gain additional new insights to the properties of a better solution for a benchmark instance. Through our approach, we are able to zero in on a solution that is 13% better than the previously known best solution, and more than 54% better than previous results obtained by other authors. More importantly, we demonstrate that our approach, called hierarchical search, can be useful in general optimization problems View full abstract»

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  • Controllability of kinematic control systems on stratified configuration spaces

    Publication Year: 2001 , Page(s): 358 - 368
    Cited by:  Papers (20)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (232 KB) |  | HTML iconHTML  

    This paper considers nonlinear kinematic controllability of a class of systems called stratified. Roughly speaking, such stratified systems have a configuration space which can be decomposed into sub-manifolds upon which the system has different sets of equations of motion. For such systems, considering the controllability is difficult because of the discontinuous form of the equations of motion. The main result in this paper is a controllability test, analogous to Chow's theorem, is based upon a construction involving distributions, and the extension thereof to robotic gaits View full abstract»

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  • A nearly interpolatory algorithm for H identification with mixed time and frequency response data

    Publication Year: 2001 , Page(s): 464 - 469
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (224 KB)  

    A new algorithm is proposed for H identification with mixed time and frequency response data. This algorithm shares similar properties to interpolatory algorithms, and is nearly interpolatory. Meanwhile, it greatly reduces the computational complexity of the interpolatory algorithm. Worst-case identification error bounds are also characterized, and derived for this nearly interpolatory algorithm. A numerical example is used to illustrate the proposed identification algorithm View full abstract»

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  • Identification in the presence of symmetry: oscillator networks

    Publication Year: 2001 , Page(s): 476 - 481
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (156 KB) |  | HTML iconHTML  

    It is well known that the presence of symmetry in the equations of a dynamical system has a profound effect on the resulting behavior. This note examines how this effect is manifested in the corresponding parameter identification problem. Our work shows that standard ideas such as persistent excitation in a trajectory can be explained by symmetry. Moreover, by understanding how symmetry affects the dynamics, it may be possible to obtain sufficient information to achieve full identification even when typical trajectories are not persistently exciting. Alternately, our analysis shows how properly interpreting the output of the identification process can give useful information even if full identification is not possible View full abstract»

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  • On the L2-gain of a double integrator with feedback loop saturation nonlinearity

    Publication Year: 2001 , Page(s): 501 - 504
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (152 KB)  

    We consider the open problem of whether there exists finite L2 gain in each channel of a double integrator in feedback interconnection with a saturation nonlinearity. It has been shown by Liu-Chitour-Sontag (1996) that the L2 gain from input to the output of the first integrator is infinite. In this paper, by constructing a special excitation, we show that the L2 gain from input to the output of the second integrator is also infinite View full abstract»

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  • Solvability and asymptotic behavior of generalized Riccati equations arising in indefinite stochastic LQ controls

    Publication Year: 2001 , Page(s): 428 - 440
    Cited by:  Papers (22)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (348 KB) |  | HTML iconHTML  

    The optimal control problem in a finite time horizon with an indefinite quadratic cost function for a linear system subject to multiplicative noise on both the state and control can be solved via a constrained matrix differential Riccati equation. In this paper, we provide general necessary and sufficient conditions for the solvability of this generalized differential Riccati equation. Furthermore, its asymptotic behavior is investigated along with its connection to the generalized algebraic Riccati equation associated with the linear quadratic control problem in finite time horizon. Examples are presented to illustrate the results established View full abstract»

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  • Doubly coprime factorization revisited

    Publication Year: 2001 , Page(s): 457 - 459
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (80 KB) |  | HTML iconHTML  

    In this note, we derive a state-space formula for all proper linear time-invariant (LTI) doubly coprime factorizations of a given LTI plant. As an application, we present a new derivation of the state-space formula for parameterization of all proper LTI stabilizing controllers View full abstract»

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  • On the passivity of linear delay systems

    Publication Year: 2001 , Page(s): 460 - 464
    Cited by:  Papers (54)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (176 KB) |  | HTML iconHTML  

    This note presents some sufficient conditions for a linear system with (point or distributed) delay in the state to be passive. Passivity based (memoryless) stabilization of linear delay systems is also addressed. The proposed approach is based on a Lyapunov-Krasovskii functional construction. Numerical examples are also included View full abstract»

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  • Bounded stochastic distributions control for pseudo-ARMAX stochastic systems

    Publication Year: 2001 , Page(s): 486 - 490
    Cited by:  Papers (34)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (192 KB) |  | HTML iconHTML  

    Following the recently developed algorithms for the control of the shape of the output probability density functions for general dynamic stochastic systems, this note presents the modeling and control algorithms for pseudo-ARMAX systems, where, different from all the existing ARMAX systems, the considered system is subjected to any arbitrary bounded random input and the purpose of the control input design is to make the output probability density function of the system output as close as possible to a given distribution function. At first, the relationship between the input noise distribution and the output distribution is established. This is then followed by the description on the control algorithm design. A simulated example is used to demonstrate the use of the algorithm and encouraging results have been obtained 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