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Automatic Control, IEEE Transactions on

Issue 12 • Date Dec. 1998

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Displaying Results 1 - 12 of 12
  • Author index

    Publication Year: 1998 , Page(s): 1 - 7
    Cited by:  Papers (1)
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  • Subject index

    Publication Year: 1998 , Page(s): 7 - 24
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  • Rejection of persistent ℒ-bounded disturbances for nonlinear systems

    Publication Year: 1998 , Page(s): 1692 - 1702
    Cited by:  Papers (13)
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    A nonlinear L1-control problem, which deals with the rejection of persistent bounded disturbances for nonlinear systems, is investigated. The concept of invariance plays an important role in the L1-performance analysis and synthesis. The main idea is to construct an invariant subset in the state space such that achieving disturbance rejection is equivalent to restricting the state dynamics to the subset. The relation between the L1-control of a continuous-time system and the l1 -control of its Euler approximated discrete-time system is established View full abstract»

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  • Stability analysis of systems with impulse effects

    Publication Year: 1998 , Page(s): 1719 - 1723
    Cited by:  Papers (73)
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    The authors establish conditions for the uniform stability and the uniform asymptotic stability of equilibria of systems with impulse effects described by systems of nonlinear, time-varying ordinary differential equations. Under mild additional assumptions, these sufficient conditions turn out to be necessary as well. For the case of time-invariant systems with impulse effects described by nonlinear ordinary differential equations, the above results are used to establish conditions under which the uniform asymptotic stability of equilibria can be deduced from the linearizations of such systems View full abstract»

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  • Uncoupled Riccati iterations for the linear quadratic control problem of discrete-time Markov jump linear systems

    Publication Year: 1998 , Page(s): 1727 - 1733
    Cited by:  Papers (11)
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    This paper deals with recursive methods for solving coupled Riccati equations arising in the linear quadratic control for Markovian jump linear systems. Two algorithms, based on solving uncoupled Riccati equations at each iteration, are presented. The standard method for this problem relies on finite stage approximations with receding horizon, whereas the methods presented here are based on sequences of stopping times to define the terminal time of the approximating control problems. The methods can be ordered in terms of rate of convergence. Comparisons with other methods in the current literature are also presented View full abstract»

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  • A large deviations perspective on the efficiency of multilevel splitting

    Publication Year: 1998 , Page(s): 1666 - 1679
    Cited by:  Papers (22)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (688 KB)  

    We analyze the performance of a multilevel splitting method for rare event simulation related to one recently proposed in the telecommunications literature. This method splits promising paths into subpaths at intermediate levels to increase the number of observations of a rare event. In our previous paper (1997) we gave sufficient conditions, in specific classes of models, for this method to be asymptotically optimal; here we focus on necessary conditions in a general setting. We show, through a variety of results, the importance of choosing the intermediate thresholds in a way consistent with the most likely path to a rare set, both when the number of levels is fixed and when it increases with the rarity of the event. In the latter case, we give very general necessary conditions based on large deviations rate functions. These indicate that even when the intermediate levels are chosen appropriately, the method will frequently fail to be asymptotically optimal. We illustrate the conditions with examples View full abstract»

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  • Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall

    Publication Year: 1998 , Page(s): 1739 - 1745
    Cited by:  Papers (34)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (268 KB)  

    Compressor stall and surge are complex nonlinear instabilities that reduce the performance and can cause failure of aircraft engines. We design a feedback controller that globally stabilizes a broad range of possible equilibria in a nonlinear compressor model. With a novel backstepping design we retain the system's useful nonlinearities which would be cancelled in a feedback linearizing design. The design control law is simple and, moreover, it is optimal with respect to a meaningful nonquadratic cost functional. As in a previous bifurcation-theoretic design, we change the character of the bifurcation at the stall inception point from subcritical to supercritical. However, since we approach the bifurcation control using Lyapunov tools, our controller achieves not only local but also global stability. The controller requires minimal modeling information and simpler sensing (rotating stall is stabilized without measuring its amplitude) View full abstract»

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  • Nonlinear overtaking optimal control: sufficiency, stability, and approximation

    Publication Year: 1998 , Page(s): 1703 - 1718
    Cited by:  Papers (5)
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    The authors consider infinite-horizon nonlinear optimal control problems with unbounded performance indexes using notions of overtaking optimality. In the framework of optimal control, new sufficient conditions of Caratheodory-Hamilton-Jacobi type for both weak overtaking and overtaking optimality are presented and compared with known results from the calculus of variations setting. Using local structural properties of a related control Hamiltonian, conclusions are drawn on aspects of existence of overtaking and weak overtaking optimal controls, stability of optimal trajectories, and approximation of weak overtaking optimal controls. Both similarities and differences among alternative approaches to overtaking, weak overtaking, and strong optimal control problems are discussed. The formulation and results are illustrated in the classical linear-quadratic tracking problem and in an optimization approach to gain scheduling View full abstract»

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  • Consistency of open-loop experimental frequency-response data with coprime factor plant models

    Publication Year: 1998 , Page(s): 1680 - 1691
    Cited by:  Papers (23)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (600 KB)  

    The model/data consistency problem for coprime factorization considered is: Given some possibly noisy frequency-response data obtained by running open-loop experiments on a system, show that these data are consistent with a given family of perturbed coprime factor models and a time-domain L noise model. In the noise-free open-loop case, the model/data consistency problem boils down to the existence of an interpolating function in ℛℋ that evaluates to a finite number of complex matrices at a finite number of points on the imaginary axis. A theorem on boundary interpolation in ℛℋ is a building block that allows one to devise computationally simple necessary and sufficient tests to check if the perturbed coprime factorization is consistent with the data. For standard coprime factorizations, the test involves the computation of minimum-norm solutions to underdetermined complex matrix equations. The Schmidt-Mirsky theorem is used in the case of special factorizations of flexible systems. For L noise corrupting the frequency-response measurements, a complete solution to the open-loop noisy SISO problem using the structured singular value μ is given View full abstract»

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  • A deterministic analysis of stochastic approximation with randomized directions

    Publication Year: 1998 , Page(s): 1745 - 1749
    Cited by:  Papers (9)
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    We study the convergence of two stochastic approximation algorithms with randomized directions: the simultaneous perturbation stochastic approximation algorithm and the random direction Kiefer-Wolfowitz algorithm. We establish deterministic necessary and sufficient conditions on the random directions and noise sequences for both algorithms, and these conditions demonstrate the effect of the “random” directions on the “sample-path” behavior of the algorithms studied. We discuss ideas for further research in the analysis and design of these algorithms View full abstract»

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  • H control for more general nonlinear systems

    Publication Year: 1998 , Page(s): 1724 - 1727
    Cited by:  Papers (13)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (172 KB)  

    The authors consider the standard H-control problem for more general nonlinear systems modeled by equations in which the penalty output and the measured output are, in general, functions of the state, the exogenous input, and the control input. In particular, we characterize a family of H controllers via output feedback as well as state feedback, solving the problem. The results obtained generalize some recent results in the literature View full abstract»

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  • Reliable decentralized stabilization of linear systems

    Publication Year: 1998 , Page(s): 1733 - 1739
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (348 KB)  

    Reliable stabilization of linear time-invariant multi-input/multi-output plants is considered using a two-channel decentralized controller configuration. Necessary and sufficient conditions are obtained for existence of reliable controllers that maintain stability under the possible failure of either one of the two controllers. All decentralized controllers that achieve reliable stabilization are characterized 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