IEEE Transactions on Automatic Control

Issue 10 • Oct 1992

Filter Results

Displaying Results 1 - 25 of 45
  • Variable structure control using system decomposition

    Publication Year: 1992, Page(s):1514 - 1517
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    An approach to the design of large variable structure systems subject to control bounds is introduced. The method includes a switching hyperplane design based on generalized inverses and system decomposition. To ensure reaching the hyperplane and achieving a sliding condition, the control is switched between local equivalent control and bounded corrective control. The design of the corrective cont... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Polynomial solution of 2D Kalman-Bucy filtering problem

    Publication Year: 1992, Page(s):1530 - 1533
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (336 KB)

    The 2D version of the Kalman-Bucy filtering problem is formulated and then solved via 2D polynomial methods. The optimal filter is restricted to be a linear causal system. The design procedure is shown to consist of one 2D spectral factorization equation only. In fact, it works for n-D signals (n>2) as well View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Kalman decomposition for implicit linear systems

    Publication Year: 1992, Page(s):1509 - 1514
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (620 KB)

    The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the properties of its subsystems obtained via the Kalman decomposition. The problems of transfer relation, reg... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Robust discrete controllers guaranteeing l2 and l performances

    Publication Year: 1992, Page(s):1620 - 1625
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (504 KB)

    An algorithm is given for designing discrete-time controllers which are robust with respect to parameter variations and which also guarantee specified l2 performance constraints for stochastic inputs and l∞ performance constraints for deterministic inputs. This is not an analysis but a design method guaranteeing the specified robust performances. Also ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Note on `distributed scheduling based on due dates and buffer priorities' by S.H. Lu and P.R. Kumar

    Publication Year: 1992, Page(s):1661 - 1662
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (156 KB)

    In the above-titled paper by Lu and Kumar (ibid., vol.36. no.12, pp.1406-1416, Dec 91), the issue of stability of a scheduling policy for a system with reentrant structure is studied. It has been shown that whenever the arrival rate, allowing for some burstiness, is less than the system capacity, the following four scheduling policies are stable: first buffer first serve, last buffer first serve, ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • A double look at duality

    Publication Year: 1992, Page(s):1474 - 1482
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (768 KB)

    The two forms of duality that are encountered most frequently by the systems theorist-linear duality and convex duality-are examined. Linear duality has a strong algebraic characterization which extends to other structures such as groups and modules. Convex duality, on the other hand, capitalizes so strongly on the vector space structure that the resulting powerful theory (which is typically inter... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • A method for verifying sector conditions in nonlinear discrete-time control systems

    Publication Year: 1992, Page(s):1505 - 1509
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (364 KB)

    The stability of a discrete feedback system with a continuous broken-line nonlinearity is considered. Many nonlinearities in practice are included in this class. Sufficient conditions for this type of nonlinear feedback system to be asymptotically stable in the large are developed using the contraction mapping theory. It is then shown that Kalman's conjecture (1957) for a feedback system with a se... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Control of linear discrete-time periodic systems: a decentralized control approach

    Publication Year: 1992, Page(s):1644 - 1648
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    A decentralized control technique is applied to the problem of periodic output feedback, stabilization or pole-assignment for a periodically time-varying discrete-time system. It is shown that the problem can be reduced to that of stabilizing or pole-assigning a general proper multichannel system by static output feedback on the basis of the equivalence between periodic systems and a class of line... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Computing an optimum direction in control space to avoid stable node bifurcation and voltage collapse in electric power systems

    Publication Year: 1992, Page(s):1616 - 1620
    Cited by:  Papers (115)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (504 KB)

    Given a load power forecast, the sensitivity with respect to controls of a load power margin measuring proximity to voltage collapse is computed. The computation is simple enough to contribute to the practical planning and control of a power system to avoid voltage collapse blackouts. The computation applies to avoiding saddle node bifurcation instability of a general dynamical system View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Upper and lower bounds of Gramian for a class of perturbed linear systems

    Publication Year: 1992, Page(s):1659 - 1661
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (240 KB)

    A bound on the system Gramian under perturbations of an A-matrix in the state space representation is derived. For a class of perturbations, both upper and lower bounds are obtained by solving algebraic Riccati equations View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Optimal L bounds for disturbance robustness

    Publication Year: 1992, Page(s):1568 - 1572
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (348 KB)

    Robust disturbance rejection bounds obtained recently by Zhu et al. are tight with respect to the disturbance set that has a specified L2 norm bound. It is shown that the bounds are also tight with respect to a weighted L2 disturbance set that has a specified bound on its outer product by choosing a special weight matrix in the L2 norm. T... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Root clustering for convex combination of complex polynomials

    Publication Year: 1992, Page(s):1520 - 1522
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB)

    In some important applications, such as the edge-theorem, it is required that a polynomial is α-stable along a parameter segment. Using the critical constraint, the necessary and sufficient conditions for root clustering (α-stability) of convex combinations of complex polynomials are presented. The approach is general and requires that a certain real polynomial has no zeros in the open... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • A microcomputer implementation of multivariable factorization theory

    Publication Year: 1992, Page(s):1631 - 1634
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    Factorization theory forms the basis of a powerful new method for the design of linear control systems. Techniques which simplify the implementation of this approach are examined: in particular, it is shown that under certain conditions, the multivariable design problem may be divided into a number of smaller independent subproblems. A microcomputer design system employing these techniques has bee... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Adaptive hybrid force-position control for redundant manipulators

    Publication Year: 1992, Page(s):1501 - 1505
    Cited by:  Papers (46)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (412 KB)

    An adaptive control scheme for manipulators with redundant degrees of freedom is presented. The control purpose is to achieve a desired interaction force between the end-effector and the environment as well as to regulate the robot tip position in the Cartesian space. This control approach does not require measurement of the joint acceleration or the force derivative View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Vibrational control of linear time lag systems with arbitrarily large but bounded delays

    Publication Year: 1992, Page(s):1576 - 1582
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (528 KB)

    It is shown that vibrational stabilization can be effective for linear systems with large bounded delays. Theorems are given that define the procedures for the search of the stabilizing vibrations. Robust oscillatory stabilization insensitive to the delay size is also shown to take place for some classes of systems View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Local controllability, reachability, and reconstructability of the general singular model of 2D systems

    Publication Year: 1992, Page(s):1527 - 1530
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (324 KB)

    Necessary and sufficient conditions for the local controllability, reachability, and reconstructability of the general singular model of 2D linear systems are established View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On finite precision Lyapunov functions for companion matrices

    Publication Year: 1992, Page(s):1640 - 1644
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (372 KB)

    The finite precision stability of a discrete-time system realized in companion form is shown to be closely connected to a positive real character of a related all-pole-minus-one-half transfer function. This is shown as a consequence of some novel characterizations of solutions to a Lyapunov equation for companion matrices. The results are of practical significance as companion matrix state recursi... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Frequency weighted model reduction via optimal projection

    Publication Year: 1992, Page(s):1537 - 1542
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (516 KB)

    The problem of order reduction with frequency weighting is considered. Necessary conditions characterizing the reduced-order model which minimizes a quadratic error criterion in the frequency domain, with either input or output frequency weighting, are given. The problem is transformed to the time domain where the weighting matrix is expressed as a shaping filter that generates colored noise at th... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Calculation of the structured singular value with a reduced number of optimization variables

    Publication Year: 1992, Page(s):1612 - 1616
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (400 KB)

    For the case of an n×n uncertainty matrix with n2 nonzero 1×1 blocks, the structured singular value technique with similarity scaling suffers from the disadvantage of having to expand an n×n matrix problem to an n2×n2 matrix optimization problem with n2-1 free... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Robust stability of delay dependence for linear uncertain systems

    Publication Year: 1992, Page(s):1656 - 1659
    Cited by:  Papers (155)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (292 KB)

    A sufficient condition for the stability of the linear uncertain time-delay systems is presented. The result obtained can include information on the size of the delay, and therefore can be a delay-dependent stability condition. The Lyapunov method is employed to investigate the problem. The result is demonstrated by an illustrative example View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • An improved covariance assignment theory for discrete systems

    Publication Year: 1992, Page(s):1588 - 1591
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (292 KB)

    For discrete systems, the set of all state covariances X which can be assigned to the closed-loop system via a dynamic controller is characterized explicitly. For any assignable state covariance X , the set of all controllers that assign this X to the closed-loop system is parameterized with an arbitrary orthonormal matrix U of proper dimension View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Relative zero location for second-order sampled systems

    Publication Year: 1992, Page(s):1551 - 1552
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (752 KB)

    It is shown that the pole-zero configuration of relevant families of second-order continuous-time transfer functions is preserved after sampling. The results are valid for any sampling period and give tighter bounds for the location of the sample zero than those reported in earlier literature. These results complement the analysis made by T. Soderstrom (ibid., vol.35, p.1249-53, 1990) on the zero ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the robustness of LQ regulators for discrete-time systems

    Publication Year: 1992, Page(s):1564 - 1568
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (404 KB)

    A sufficient condition for quadratic stabilizability of uncertain linear discrete-time systems using LQ regulators is presented. The true system is represented by a nominal model plus additive terms representing the most common types of uncertainties in the state and input matrices. Sufficient robustness bounds as well as a robustification procedure for discrete-time LQ regulators are presented an... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Global tunability of one-dimensional SISO systems

    Publication Year: 1992, Page(s):1605 - 1608
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (348 KB)

    It is shown by example that with a suitably defined certainty equivalence controller ΣR, it is possible to make a closed-loop parameterized system Σ tunable on its entire parameter space P, even though P may contain points at which the parameterized ΣD, upon which ΣR's definition is based, is not stabilizable. The implications of this discov... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Coprime matrix fraction description via orthogonal structure theorem

    Publication Year: 1992, Page(s):1517 - 1520
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    An algorithm to compute the coprime matrix fraction description from a given transfer function matrix W(s) is presented. The algorithm is based on Householder transformations to compute the minimal realization of W(s) and on the orthogonal version of the structure theorem of W.A. Wolovich (1974) and of Wolovich and P.L. Falb (1969) to determine the coprime form.... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.

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

Full Aims & Scope

Meet Our Editors

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