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Automatic Control, IEEE Transactions on

Issue 3 • Date March 1985

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Displaying Results 1 - 25 of 31
  • [Front cover and table of contents]

    Publication Year: 1985 , Page(s): 0
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    Freely Available from IEEE
  • Editorial: A transitional year

    Publication Year: 1985 , Page(s): 193
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    Freely Available from IEEE
  • Comments on "Eigenvalue bounds for algebraic Riccati and Lyapunov equations"

    Publication Year: 1985 , Page(s): 315 - 316
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    The purpose of this correspondence is to point out that Lemma 2.5 of the paper is incorrect. View full abstract»

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  • Comments on "Analysis, stability, and optimization of slotted ALOHA with a finite number of buffered users"

    Publication Year: 1985 , Page(s): 316 - 318
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    The model of a buffered slotted ALOHA scheme presented by Saadawi and Ephremides in the above paper is improved by refining the USER and SYSTEM Markov chains. New expressions are proposed for the transition probabilities in the USER chain. The SYSTEM chain is also modified to account for the influence of an arriving packet on all possible transitions. The principle of flow balance at equilibrium (the net packet input flow rate should be equal to the rate of successful packet transmissions) is employed to justify these changes. Incorporating the proposed modifications, the packet flow equivalence condition is established analytically for the two-user, single-buffer case and numerically for systems with a larger number of users, each one having a single, finite, or an infinite buffer. View full abstract»

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  • Author's reply

    Publication Year: 1985 , Page(s): 318 - 319
    Cited by:  Papers (2)
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    First Page of the Article
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  • Comments on "Decentralized control of interconnected dynamical systems"

    Publication Year: 1985 , Page(s): 319 - 320
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    In this note it is pointed out that in the above paper Proposition 2 quoted is not exact and Corollary 1 is incorrect. Improvements on Theorem 7, Theorem 8, ii) of Theorem 9, and Corollary 4 in the paper are also made. View full abstract»

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  • [Back cover]

    Publication Year: 1985 , Page(s): 0
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    Freely Available from IEEE
  • A new sufficient condition for generic pole assignment by output feedback

    Publication Year: 1985 , Page(s): 280 - 283
    Cited by:  Papers (2)
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    We show that for strictly proper systems with m outputs, l inputs ( m \geq l ), McMillan degree n , and controllability indexes \lambda _{1} \geq \lambda _{2} \geq ...\geq \lambda _{1} > 0 , one can in the generic case arbitrarily assign min ((q + 1)m + q + b(l - 1), n + q) closed-loop poles with a proper order q compensator. This represents an improvement over results reported earlier in the literature. View full abstract»

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  • Robust model tracking control for a class of nonlinear plants

    Publication Year: 1985 , Page(s): 275 - 279
    Cited by:  Papers (38)
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    We propose a new model-following control scheme for a class of nonlinear plants. The feedback control signal is a continuous function of all its arguments. It is shown that this scheme guarantees that tracking error remains bounded and tends to a neighborhood of the origin with a rate not inferior to an exponential one; furthermore, it allows the designer to arbitrarily prescribe the rate of convergence and the size of the set of ultimate boundedness. View full abstract»

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  • The general problem of pole assignment: A polynomial equation approach

    Publication Year: 1985 , Page(s): 286 - 289
    Cited by:  Papers (1)
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    The problem of modifying the invariant polynomials of a linear system by dynamical output feedback is considered. A new necessary condition which the invariant polynomials must satisfy is derived. The sufficiency condition of Rosenbrock and Hayton is proved in an alternative way. The proof is based on polynomial matrix equations and provides a simple construction of the feedback which affects the desirable change. View full abstract»

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  • Stability of polynomials under coefficient perturbation

    Publication Year: 1985 , Page(s): 310 - 312
    Cited by:  Papers (40)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (296 KB)  

    Let the real polynomial a_{0}x^{n} + a_{1}x^{n-1} + ... + a_{n-1}x + a_{n} be stable and let the real numbers b_{k}, c_{k} \geq 0, 0 \leq k \leq n , be given. We present a simple determinant criterion for finding the largest t_{0} \geq 0 such that the polynomial \alpha _{0}x^{n} + \alpha _{1}x^{n-1}+ ... +\alpha _{n-1}x + \alpha _{n} is stable for all \alpha _{k} \in (a_{k} - b_{k}t_{0}, a_{k} + C_{k}t_{0}) cup {a_{k}}, 0 \leq k \leq n . Several further observations allow us to reduce the computational cost considerably. View full abstract»

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  • Estimation of the accuracy of a robot manipulator

    Publication Year: 1985 , Page(s): 304 - 306
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (328 KB)  

    In order to select high-accuracy robots for precise assembly tasks, a method for estimating the robot's accuracy is needed. Based on the developed error model [1]-[3] describing the accuracy of a robot manipulator resulting from the kinematic errors, a statistical estimation procedure for robot accuracy is developed. By calculating the Cartesian errors at many different arm positions in the known world, the robot accuracy can be estimated by using the maximum likelihood estimate for the covariance matrix of these Cartesian errors. View full abstract»

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  • Stability of fast periodic systems

    Publication Year: 1985 , Page(s): 289 - 291
    Cited by:  Papers (21)
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    A new stability criterion for fast periodic linear systems is given. View full abstract»

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  • Discrete regulators with time-scale separation

    Publication Year: 1985 , Page(s): 293 - 297
    Cited by:  Papers (4)
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    A procedure for decomposition and control design of linear discrete regulators with fast and slow modes is presented. The composite and reduced-order controls are formulated in a standard form and upper bounds on their performance are derived. An eighth-order power model is worked out to demonstrate the analytical development. View full abstract»

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  • Superposition laws for solutions of differential matrix Riccati equations arising in control theory

    Publication Year: 1985 , Page(s): 266 - 272
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (696 KB)  

    Representation formulas are given for the general solution of the N \times N matrix Riccati equation \dot{W} = A + WB + CW + WDW using n known solutions, with n = 1, ..., 5 ( n -representations). The 5- representation is a superposition formula, in that it expresses the general solution explicitly as a function of five particular solutions and N2arbitrary constants ( N \geq 2 ), using no further information. The representation formulas can be used in numerical calculations. The 4- and 5- representations are specially useful when a solution W(t) has a singularity for some finite t = t_{0} . They also clarify the properties of the solution space: the matrix elements of W(t) are meromorphic functions of t having simple poles as the only possible singularities. The relation between the representation formulas and previously known results is discussed. View full abstract»

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  • On the state estimation for pseudoparabolic systems with stochastic coefficients

    Publication Year: 1985 , Page(s): 306 - 310
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    The purpose of this note is to derive the least-square state estimator for a class of stochastic pseudoparabolic systems under noisy observations. Within the framework of function spaces, properties of the solution with regard to the state equation are studied. By showing the results of digital simulation experiments, the dynamics of the least-square estimator is given under noisy distributed observations. View full abstract»

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  • Internally balanced minimal realization of discrete SISO systems

    Publication Year: 1985 , Page(s): 297 - 299
    Cited by:  Papers (3)
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    Given the transfer function or the state equations in phase canonical form of a discrete SISO system, a method is proposed to obtain an internally balanced state-space representation of it. View full abstract»

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  • A faster method of computing matrix pythagorean sums

    Publication Year: 1985 , Page(s): 273 - 275
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    In a recent paper [1], Moler and Morrison have described an iterative algorithm for the computation of the Pythagorean sum a \oplus b {\underline {\underline \Delta } } (a^{2} + b^{2})^{1/2} of two real numbers a and b without computing their squares or taking a square root. The subroutine is robust, short, portable, has a cubic rate of convergence, and is immune to floating-point overflows. In this note the method is extended to the efficient computation of the Pythagorean sum A \oplus B of two real commuting matrices. View full abstract»

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  • Characterizing finite-dimensional filters for the linear innovations of continuous-time random processes

    Publication Year: 1985 , Page(s): 312 - 315
    Cited by:  Papers (1)
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    We examine finite-dimensional realizability issues associated with certain linear filtering problems which depend only on second-order statistics of the underlying random process. The optimal filters are determined by linear integral (Wiener-Hopf) equations. We exploit linearity of the filter input/output map to obtain conditions which apply to a fairly general class of realizations, including linear and nonlinear ones. We show that a "semiseparable" covariance structure is necessary and sufficient for finite dimensionality. View full abstract»

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  • A modified procedure for the realization of the transfer-function matrix from a mixture of Markov parameters and moments

    Publication Year: 1985 , Page(s): 299 - 301
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    A procedure for the realization of a transfer function matrix using a mixture of Markov parameters and moments is given. The procedure results in the determination of A, B , and C , and does not involve the determination of A-1and A^{-k+1} , etc., as needed in existing techniques. View full abstract»

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  • An application of vibrational control to cancel unstable decentralized fixed modes

    Publication Year: 1985 , Page(s): 283 - 286
    Cited by:  Papers (6)
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    Vibrational control is employed to cancel unstable fixed modes in decentralized control systems. An application example is given. View full abstract»

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  • Loptimization and Hankel approximation

    Publication Year: 1985 , Page(s): 279 - 280
    Cited by:  Papers (13)
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    An important L^{\infty } -optimization problem arising in feedback system design is shown to be equivalent to an optimal Hankel-norm approximation problem. This enables the problem to be solved using state-space methods based on balanced realizations. View full abstract»

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  • Detection thresholds for tracking in clutter--A connection between estimation and signal processing

    Publication Year: 1985 , Page(s): 221 - 229
    Cited by:  Papers (61)
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    In the Kalman-Bucy filter and other trackers, the dependence of tracking performance upon the quality of the measurement data is well understood in terms of the measurement noise covariance matrix, which specifies the uncertainty in the values of the measurement inputs. The measurement noise and process noise covariances determine, via the Riccati equation, the state estimation error covariance. When the origin of the measurements is also uncertain, one has the widely studied problem of data association (or data correlation), and tracking performance depends critically on signal processing parameters, primarily the probabilities of detection and false alarm. In this paper we derive a modified Riccati equation that quantifies (approximately) the dependence of the state error covariance on these parameters. We also show how to use a receiver operating characteristic (ROC) curve in conjunction with the above relationship to determine the detection threshold in the signal processing system that provides measurements to the tracker so as to minimize tracking errors. The approach presented in this paper provides a feedback mechanism from the information processing (tracking) subsystem to the signal processing subsystem so as to optimize the overall performance in clutter. View full abstract»

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  • The matching of a prescribed linear input-output behavior in a nonlinear system

    Publication Year: 1985 , Page(s): 258 - 265
    Cited by:  Papers (29)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (656 KB)  

    In this paper we deal with the problem of finding a feedback under which the input-output behavior of a nonlinear system becomes exactly the same as that of a specified linear model. The solvability of this problem is shown to depend on a formal infinite zero structure associated with the system. View full abstract»

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  • A comparison of the balanced matrix method and the aggregation method of model reduction

    Publication Year: 1985 , Page(s): 301 - 304
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (432 KB)  

    The balanced matrix method and the aggregation method for model reduction are compared. It is shown that there is a "natural" choice for the aggregated reduced model output matrix that makes the aggregated model comparable to the balanced matrix reduced-order model. This assumes that the eigenvalues retained in the aggregated model are truly dominant and that the orders of the two models are equal. However, there are situations in which the choice of the eigenvalues to be retained in an aggregated model is not obvious. In these cases the balanced matrix method may be superior. The models are compared in two numerical examples. 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

Full Aims & Scope

Meet Our Editors

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