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Automatic Control, IEEE Transactions on

Issue 4 • Date Apr 1991

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Displaying Results 1 - 17 of 17
  • Decoupling controller design for linear multivariable plants

    Publication Year: 1991 , Page(s): 485 - 489
    Cited by:  Papers (10)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (372 KB)  

    Decoupling controller design for linear time-invariant square multiple-input multiple-output (MIMO) plants under the unity-feedback configuration is discussed. For plants with no coincidences of unstable poles and zeros, a simplified necessary and sufficient condition for closed-loop stability is given. The simplified condition leads to a simple parameterization of the set of all achievable decoup... View full abstract»

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  • On normalized Bezout fractions of distributed LTI systems

    Publication Year: 1991 , Page(s): 489 - 491
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (292 KB)  

    The Hardy space H and Bezout fractions are introduced. Some properties of transfer function matrices with entries in the Nevanlinna class are discussed. Shift-invariant subspaces in the Hardy space H2k are introduced, and the existence of normalized right Bezout fractions is proven. The existence of normalized left Bezout fractions and norm... View full abstract»

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  • Structure selection for bounded-parameter models: consistency conditions and selection criterion

    Publication Year: 1991 , Page(s): 474 - 481
    Cited by:  Papers (14)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (608 KB)  

    Strong-consistency conditions for structure selection in bounded-parameter models are studied. A certain robust selection criterion, based on the volume of the exact parameter-bounding polytope, is proposed for linear regression models. The effectiveness of the polytope volume criterion is demonstrated on a model nonlinear in its variables but linear in its parameters. Its strong consistency is pr... View full abstract»

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  • On the accuracy of the stochastic simulation of infinite-horizon LQG control systems

    Publication Year: 1991 , Page(s): 492 - 494
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (280 KB)  

    The simulation accuracy of the infinite-horizon sampled-data linear-quadratic Gaussian (LQG) control system is investigated. The effect of the proper selection of the noise statistics, their dependence on the integration routines, and their effects on robustness recovery are addressed. Estimation error variances for the LQG control are compared View full abstract»

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  • H2-optimal sampled-data control

    Publication Year: 1991 , Page(s): 387 - 397
    Cited by:  Papers (51)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (836 KB)  

    The H2-optimal control of continuous-time linear time-invariant systems by sampled-data controllers is discussed. Two different solutions, state space and operator theoretic, are given. In both cases, the H2 sampled-data problem is shown to be equivalent to a certain discrete-time H2 problem. Other topics discussed include input-output st... View full abstract»

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  • Vibrational feedback control in the problem of acoustic stability

    Publication Year: 1991 , Page(s): 482 - 485
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (312 KB)  

    The problem of absolute stability in a vibrational feedback controller is introduced and discussed. It is shown that for any rational G(s)=n(s)/d(s ) with d(s) Hurwitz and deg d(s) -deg n(s)=1 there exists a linear dynamic periodic controller that ensures, in a certain sense, the infinite se... View full abstract»

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  • Adaptive quantification of model uncertainties by rational approximation

    Publication Year: 1991 , Page(s): 441 - 453
    Cited by:  Papers (11)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (804 KB)  

    An adaptive rational approximation approach for quantifying the effect of uncertainty is presented. It is shown that a tight frequency upper bound on the uncertainty is obtainable by adaptive rational approximation. The identifier, which consists of the plant identifier and the uncertainty identifier, is discussed. The plant identifier gives a nominal model which has lower complexity than that of ... View full abstract»

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  • Adaptive control of constrained Markov chains

    Publication Year: 1991 , Page(s): 454 - 462
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (916 KB)  

    Adaptive control of finite-state Markov chains is discussed, The optimal performance is characterized through the minimization of a long-run average cost functional, subject to constraints on several other such functionals. Under mild structural and feasibility conditions, two explicit adaptive control policies are exhibited for the case where the transition probabilities are unknown. The policies... View full abstract»

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  • On the local stability properties of adaptive parameter estimators with composite errors and split algorithms

    Publication Year: 1991 , Page(s): 463 - 473
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1100 KB)  

    The stability characteristics of a generalized error system structure are examined for adaptive parameter estimation systems. This error system form encompasses the structure of a number of particular applications of adaptive parameter estimation theory which fall outside the framework of more familiar error system models. The consequences for error system stability which derive from the added gen... View full abstract»

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  • Controllability of 2-D systems

    Publication Year: 1991 , Page(s): 413 - 423
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1076 KB)  

    The concept of controllability of 2-D systems is introduced in a behavioral framework. This property is defined as a systems concept and is characterized in terms of system representations. State-space realizations for controllable 2-D systems are presented. The structure of state-space systems is analyzed, and the notions of trimness, reachability, and observability are introduced and characteriz... View full abstract»

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  • Homotopy approach for solving constrained optimization problems

    Publication Year: 1991 , Page(s): 494 - 498
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (504 KB)  

    A homotopy approach for solving constrained parameter optimization problems is examined. The first-order necessary conditions, with the complementarity conditions represented using a technique due to Mangasarian (1967) are solved. The equations are augmented to avoid singularities which occur when the active constraint changes. The Chow-Yorke (1978) algorithm is used to track the homotopy path lea... View full abstract»

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  • The peaking phenomenon and the global stabilization of nonlinear systems

    Publication Year: 1991 , Page(s): 424 - 440
    Cited by:  Papers (125)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1508 KB)  

    The problem of global stabilization is considered for a class of cascade systems. The first part of the cascade is a linear controllable system and the second part is a nonlinear system receiving the inputs from the states of the first part. With zero input, the equilibrium of the nonlinear part is globally asymptotically stable. In linear systems, a peaking phenomenon occurs when high-gain feedba... View full abstract»

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  • Performance robustness of discrete-time systems with structured uncertainty

    Publication Year: 1991 , Page(s): 398 - 412
    Cited by:  Papers (93)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1096 KB)  

    Given an interconnection of a nominal discrete-time plant and a stabilizing controller together with structured, norm-bounded, nonlinear/time-varying perturbations, necessary and sufficient conditions for robust stability and performance of the system are provided. It is shown that performance robustness is equivalent to stability robustness in the sense that both problems can be dealt with in the... View full abstract»

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  • On dual algebraic Riccati equations

    Publication Year: 1991 , Page(s): 511 - 512
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (152 KB)  

    A method is presented to solve dual algebraic Riccati equations. It is shown that only one Schur decomposition of the Hamiltonian matrix is necessary to solve the dual equations View full abstract»

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  • Computational stochastic dynamic programming on a vector multiprocessor

    Publication Year: 1991 , Page(s): 507 - 511
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (556 KB)  

    Numerical methods which have been developed to solve optimal feedback control problems for nonlinear, continuous-time dynamical systems, perturbed by Poisson as well as by Gaussian random white noise, are discussed. Predictor-corrector methods are modified for the nonstandard functional partial differential equation of stochastic dynamic programming to treat nonlinearities attributable to quadrati... View full abstract»

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  • Vibrational stabilization of nonlinear parabolic systems with Neumann boundary conditions

    Publication Year: 1991 , Page(s): 501 - 507
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (600 KB)  

    The conditions for the existence of the stabilizing vibrations for a class of distributed parameter systems governed by parabolic partial differential equations with Neumann boundary conditions are derived. The guidelines for the choice of the vibration parameters that ensure stabilization are given. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector addi... View full abstract»

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  • Reduced-order solution to the finite-time optimal-control problems of linear weakly coupled systems

    Publication Year: 1991 , Page(s): 498 - 501
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (308 KB)  

    The optimal solution to the finite-time optimal-control problem of weakly coupled linear systems is found in terms of completely decoupled reduced-order differential equations for both closed-loop and open-loop control. This is achieved through the use of the decoupling transformation that block diagonalizes the Hamiltonian matrix of the weakly coupled linear-quadratic control problem. The converg... 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