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IEEE Transactions on Automatic Control

Issue 4 • April 1995

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Displaying Results 1 - 25 of 28
  • Nonlinear L1 optimal controllers for linear systems

    Publication Year: 1995, Page(s):694 - 696
    Cited by:  Papers (35)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (289 KB)

    In this paper we study the L 1 optimal control problem for linear systems. We show that by allowing the class of controllers to include nonlinear controllers, we can make the closed-loop L 1 norm strictly smaller than we could do using only linear controllers.<> View full abstract»

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  • Minimum bias priors for estimating parameters of additive terms in state-space models

    Publication Year: 1995, Page(s):684 - 693
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (708 KB)

    We treat the problem of estimating parameters of additive terms, sometimes called bias terms, in state-space models. We consider models that depend linearly on the state but possibly nonlinearly on the parameters, where both the state and observation are corrupted by additive noise. A prior density for the parameters is introduced that, when combined with the likelihood function to form a posterio... View full abstract»

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  • Further theoretical results on direct strain feedback control of flexible robot arms

    Publication Year: 1995, Page(s):747 - 751
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (424 KB)

    This paper is concerned with stability analyses for some nonstandard second-order partial differential equations arising from direct strain feedback control of flexible robot arms. Exponential stability issues are addressed for three types of differential equations, one of which is in general abstract evolution equation form and the other two are in partial differential equation form. The obtained... View full abstract»

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  • Simultaneous observation of linear systems

    Publication Year: 1995, Page(s):696 - 699
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (324 KB)

    This paper considers the problem of designing an observer which can observe the states for each of a given set of plants. The concept of the simultaneous observation is introduced. The simultaneous observation is achieved using coprime factorization techniques. Necessary and sufficient conditions for the existence of simultaneous observation are derived. The observer design is discussed, and an ex... View full abstract»

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  • H optimal and suboptimal controllers for infinite dimensional SISO plants

    Publication Year: 1995, Page(s):751 - 755
    Cited by:  Papers (61)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (404 KB)

    This paper presents a simple formula for H optimal and suboptimal controllers for unstable SISO distributed plants, with rational weighting functions. The controller is expressed in terms of i) inner and outer parts of the plant, ii) a finite dimensional spectral factor obtained from the weighting functions, and iii) a rational function satisfying certain interpolation conditions... View full abstract»

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  • Input saturation and global stabilization of nonlinear systems via state and output feedback

    Publication Year: 1995, Page(s):776 - 782
    Cited by:  Papers (54)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (560 KB)

    For multi-input multi-output nonlinear systems whose free dynamics are Lyapunov stable, the author shows how the problem of global stabilization via dynamic output feedback can be solved by using the technique of input saturation. The power of this technique is also illustrated by solving the problem of global stabilization via bounded state feedback for affine nonlinear systems with stable unforc... View full abstract»

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  • An algorithm for computing the mask value of the supremal normal sublanguage of a legal language

    Publication Year: 1995, Page(s):699 - 703
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    We consider the problem of finding the mask value of the supremal normal sublanguage LR of some given language L. We describe a straightforward algorithmic solution that can be applied to existing off-line procedures for determining the supremal controllable and normal sublanguage of L and that does not require an explicit calculation of L R. This problem is fundamental becau... View full abstract»

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  • Explicit formulas for optimally robust controllers for delay systems

    Publication Year: 1995, Page(s):656 - 669
    Cited by:  Papers (36)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (988 KB)

    This paper considers single-input/single-output systems whose transfer functions take the form of a strictly proper rational function times a delay. A closed-form expression is presented for the controller which is optimally robust with respect to perturbations measured in the gap metric. The formula allows the H loop-shaping procedure of Glover-McFarlane to be carried out explic... View full abstract»

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  • Robust H control of uncertain nonlinear system via state feedback

    Publication Year: 1995, Page(s):766 - 768
    Cited by:  Papers (66)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (332 KB)

    This technical note presents a solution of robust H control problem for an affine nonlinear system with gain bounded uncertainty. It is shown that the L2-induced norm of a closed-loop system with the uncertainty is less than one if an extended nonlinear system with no uncertainty is dissipative with respect to a supply rate. In consequence of this result, a state feed... View full abstract»

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  • Least squares type algorithms for identification in the presence of modeling uncertainty

    Publication Year: 1995, Page(s):756 - 761
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (496 KB)

    The celebrated least squares and LMS (least-mean-squares) are system identification approaches that are easily implementable, need minimal a priori assumptions, and have very nice identification properties when the uncertainty in measurements is only due to noises and not due to unmodeled behavior of the system. When there is uncertainty present due to an unmodeled part of the system as well, howe... View full abstract»

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  • Optimal control for systems with deterministic production cycles

    Publication Year: 1995, Page(s):782 - 786
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (364 KB)

    Considers a failure prone production system with deterministic production cycles. The objective is to find the optimal production rate to minimize long-run average cost. The authors first show that the optimal control policy belongs to a type of switching curve policy which has a special structural property and can be characterized by a single parameter. The authors then establish a relationship b... View full abstract»

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  • Decentralized robust control of uncertain interconnected systems with prescribed degree of exponential convergence

    Publication Year: 1995, Page(s):704 - 707
    Cited by:  Papers (30)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    This paper considers the problem of decentralized control of an uncertain interconnected time-varying system which does not satisfy the so-called matching conditions. The uncertainties, which may be decomposed into two portions, a matched portion and a mismatched portion, may appear in the subsystems and also in the interconnections between the subsystems. A robust decentralized control scheme is ... View full abstract»

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  • Language convergence in controlled discrete-event systems

    Publication Year: 1995, Page(s):616 - 627
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1068 KB)

    Discrete-event systems modeled as state machines in the framework of Ramadge and Wonham are considered. In this paper, convergence of the language generated or marked by the system to a specified legal language is investigated. The convergence property is studied both with respect to open-loop (uncontrolled) systems and with respect to controlled systems. In the latter case, both questions of exis... View full abstract»

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  • The Caratheodory-Fejer problem and H/l1 identification: a time domain approach

    Publication Year: 1995, Page(s):729 - 735
    Cited by:  Papers (26)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (608 KB)

    In this paper we study a worse-case, robust control oriented identification problem. This problem is in the framework of H identification, but the formulation here is more general. The available a priori information in our problem consists of a lower bound on the relative stability of the plant, an upper bound on a certain gain associated with the plant, and an upper bound on the... View full abstract»

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  • A globally optimal minimax solution for spectral overbounding and factorization

    Publication Year: 1995, Page(s):712 - 716
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (424 KB)

    In this paper, an algorithm is introduced to find a minimum phase transfer function of specified order whose magnitude “tightly” overbounds a specified real-valued nonparametric function of frequency. This method has direct application to transforming nonparametric uncertainty bounds (available from system identification experiments and/or plant modeling) into parametric representation... View full abstract»

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  • Stochastic system identification with noisy input-output measurements using polyspectra

    Publication Year: 1995, Page(s):670 - 683
    Cited by:  Papers (41)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1132 KB)

    Two new classes of parametric, frequency domain approaches are proposed for estimation of the parameters of scalar, linear “errors-in-variables” models, i.e., linear systems where measurements of both input and output of the system are noise contaminated. The first approach consists of linear estimators where using the bispectrum or the integrated polyspectrum of the input and the cros... View full abstract»

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  • Zeros of discretized continuous systems expressed in the Euler operator-an asymptotic analysis

    Publication Year: 1995, Page(s):743 - 747
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    The structure of the zeros of SISO continuous-time systems, which are discretized via a zero-order hold and expressed in the Euler operator, is studied. In particular, it is shown that when state-space descriptions of linear SISO continuous-time systems with relative degree ⩾2 are discretized, then the zero dynamics of the resulting discrete system is singularly perturbed and shows a separatio... View full abstract»

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  • Optimal nonparametric identification from arbitrary corrupt finite time series

    Publication Year: 1995, Page(s):769 - 776
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (648 KB)

    Formulates and solves a worst-case system identification problem for single-input, single-output, linear, shift-invariant, distributed parameter plants. The available a priori information in this problem consists of time-dependent upper and lower bounds on the plant impulse response and the additive output noise. The available a posteriori information consists of a corrupt finite output time serie... View full abstract»

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  • Structure of model uncertainty for a weakly corrupted plant

    Publication Year: 1995, Page(s):639 - 655
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1144 KB)

    In this paper, we investigate the structure of the transfer function set which includes all the transfer functions deduced from the plant available information. It is shown that when an upper bound of the plant transfer function's H-norm has been supplied, and the noise contaminating the time domain identification experiment data is not too significant, such a transfer function s... View full abstract»

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  • Square-root Bryson-Frazier smoothing algorithms

    Publication Year: 1995, Page(s):761 - 766
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (524 KB)

    Some new square-root algorithms for Bryson-Frazier smoothing formulas are suggested: square-root algorithms and a fast square-root (or so-called Chandrasekhar type) algorithm. The new square-root algorithms use square-root arrays composed of smoothed estimates and their error covariances. These algorithms provide many advantages over the conventional algorithms with respect to systolic array and p... View full abstract»

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  • Adjoint and Hamiltonian input-output differential equations

    Publication Year: 1995, Page(s):603 - 615
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (900 KB)

    Based on developments in the theory of variational and Hamiltonian control systems by Crouch and van der Schaft (1987), this paper answers two questions: given an input-output differential equation description of a nonlinear system, what is the adjoint variational system in input-output differential form and what are the conditions for the system to be Hamiltonian, i.e., such that the variational ... View full abstract»

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  • Pole assignment with robust stability

    Publication Year: 1995, Page(s):725 - 729
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    This paper uses convex analysis for the pole assignment design of discrete-time SISO systems incorporating robust stability against norm bounded parametric perturbations in the plant transfer function. The method involves designing an overparameterized pole assignment controller for the nominal plant with the overparameterization chosen to reduce the size of changes in the closed-loop characterist... View full abstract»

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  • Hedging-point production control with multiple failure modes

    Publication Year: 1995, Page(s):707 - 712
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (512 KB)

    We consider the control of a production facility subject to multiple failure modes. Motivated by a work of Akella-Kumar (1986) and Bielecki-Kumar (1988) on single-failure-mode models, we study hedging-point policies, in which production is controlled to its maximum rate whenever inventory is below a critical level and set to zero whenever inventory is above that level. The maximum production rate ... View full abstract»

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  • Fault detection and isolation for unstable linear systems

    Publication Year: 1995, Page(s):740 - 742
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB)

    In the design of a residual generator for an unstable plant, the unstable modes are made unobservable from the residual vector. We point out that this cannot be achieved in practice due to the discrepancy between the estimated model and the “true” plant model. Hence, we deduce that it is not possible to design a residual generator for an unstable plant, unless it is stabilized by an ad... View full abstract»

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  • Concurrent vector discrete-event systems

    Publication Year: 1995, Page(s):628 - 638
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (796 KB)

    The vector discrete-event system (VDES) is a compact serial discrete-event system model, in which the system state is represented by a vector with integer components and the transitions by integer vector addition. Continuing the study of VDES, we introduce in this paper concurrent VDES, extending the base VDES model to capture strict concurrency, or possible simultaneity of events. We characterize... 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