IEEE Transactions on Automatic Control

Issue 4 • August 1980

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Displaying Results 1 - 25 of 56
  • [Front cover and table of contents]

    Publication Year: 1980, Page(s): 0
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    Freely Available from IEEE
  • Stability analysis of discrete-time adaptive control schemes

    Publication Year: 1980, Page(s):710 - 716
    Cited by:  Papers (41)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (646 KB)

    The stability properties of a fairly general diserete-time adaptive control scheme are analyzed. Sufficient conditions forL^{infty}stability in the presence of disturbances are given. The stability results are used to prove convergence of the process outputs in the disturbance-free case, without requiring any a priori stability assumption. View full abstract»

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  • State feedback decoupling with stability of linear constant (A,B,C,D) quadruples

    Publication Year: 1980, Page(s):739 - 743
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (512 KB)

    The aim of this paper is to deal with the general decoupling problem of linear constant (A, B, C, D) quadruples from two points of view. The first one is devoted to a characterization of the control laws that decouple quadruples by state feedback, which has been lacking up until now in spite of the results previously obtained by Morse in [4]. Here, we give a complete characterization of... View full abstract»

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  • Optimal mixed strategies in a dynamic game

    Publication Year: 1980, Page(s):743 - 749
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (758 KB)

    In this paper we treat a specific two-person, zero-sum, dynamic game of the typex_{k + 1} = f(x_{k}, u_{k}, w_{k}). The optimal solutions for this game (i.e, a saddle point) have to be sought in the class of mixed (synonymously, randomized) strategies. For this particular game a theory of optimality of mixed strategies is developed and a hierarchy of problems of increasing generality, w... View full abstract»

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  • K-observers for linear systems with unknown inputs

    Publication Year: 1980, Page(s):779 - 782
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (388 KB)

    The concepts ofK-observability with unknown inputs andK-observers for linear systems are introduced. This provides a unified solution to a class of (minimal) synthesis problems where the inputs to the given system are unknown. View full abstract»

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  • On the Lyapunov matrix equation

    Publication Year: 1980, Page(s):813 - 814
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (167 KB)

    In this paper the inequality which is satisfied by the determinant of the solution of the Lyapunov matrix equationA'Q + QA = - Dis presented. The result makes possible a lower estimate of product eigenvalues of the matrixQand dependence from eigenvalues of the matricesAandD. This result corresponds to those presented in [2] and [3], where an estimate of ... View full abstract»

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  • A new concept of eigenvalues and eigenvectors and its applications

    Publication Year: 1980, Page(s):824 - 826
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    A new concept of "eigenvalues" and "eigenvectors" ofA(t)is introduced. This new concept reduces to the conventional one as a special case whenA(t)has constant "eigenvectors." Its applications to algebraic transformation and diagonal realization are given. View full abstract»

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  • A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm

    Publication Year: 1980, Page(s):826 - 829
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (327 KB)

    A new sharp lower bound for the solution of the algebraic Riccati equation of optimal control is presented for the case when the state cost matrixQis positive definite. The bound is easier to evaluate than previous sharp bounds. It is then used in the derivation of a geometric convergence rate for the Kleinman algorithm (an iterative method for solving the algebraic Riccati equation). View full abstract»

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  • A projected stochastic approximation method for adaptive filters and identifiers

    Publication Year: 1980, Page(s):836 - 838
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (348 KB)

    Generally, when stochastic approximation is used to identify the coefficients of a linear system or for an adaptive filter or equalizer, the iterate Xnis projected back onto some finite setG={x:|x_{i}|leq B, alli}, if it ever leaves it. The convergence of such truncated sequences have been discussed informally. Here it is shown, under very broad conditions on the n... View full abstract»

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  • Unimodality conditions for Gaussian sums

    Publication Year: 1980, Page(s):838 - 839
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (232 KB)

    In this correspondence multivariable sufficient conditions for the unimodality of Gaussian sums (normal mixtures) with two terms are given. The first corresponds to equal proportions and covariance matrices forx in R^{n}while the second yields to a general mixture andx in R^{2}. These conditions may be useful in proving nonhomogeneity of random vectors in the reduction of the... View full abstract»

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  • Comments on "Pole assignment and determination of the residual polynomial"

    Publication Year: 1980, Page(s):853 - 855
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (282 KB)

    In the above paper a method is given for determining the output vector feedback, simultaneously computing the coefficients of the residual polynomial, the roots of which are the remaining unassigned poles. This and similar results are well established but not well known in the western literature. In these comments two algorithms are reported for the incomplete pole assignment by output feedback; w... View full abstract»

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  • Comments on "A computer-aided root-locus method"

    Publication Year: 1980, Page(s): 855
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (97 KB)

    First Page of the Article
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  • Comments on "Two-level form of Kalman filter"

    Publication Year: 1980, Page(s):856 - 857
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (175 KB)

    A two-level method of state estimation proposed by Noton is demonstrated to give only an approximate solution, not an exact one, to filtering problems. View full abstract»

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  • Comments on "A new lower bound on the cost of optimal regulators"

    Publication Year: 1980, Page(s):857 - 858
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (154 KB)

    The purpose of this correspondence is to point out that the result of the above paper is incorrect. View full abstract»

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  • [Back cover]

    Publication Year: 1980, Page(s): 0
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    Freely Available from IEEE
  • Tracking with measurements of uncertain origin and random arrival times

    Publication Year: 1980, Page(s):802 - 807
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (632 KB)

    The problem of estimating the state of a target in the presence of measurements of uncertain origin has received a great deal of attention recently. When this origin question cannot be resolved with certainty, one can only make probabilistic inferences as to which detection (and thus measurement) originated from the target of interest. The investigation reported here deals with a new class of prob... View full abstract»

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  • On Chuang's continued fraction method of model reduction

    Publication Year: 1980, Page(s):822 - 824
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

    Based on Chuang's continued fraction method of model reduction, an algorithm for obtaining the reduced order model of linear time-invariant system from its state-space model directly, without requiring to determine the corresponding transfer function, has been suggested. The algorithm can also be used for determining the transfer function from the state-space model. View full abstract»

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  • A connective stability result for interconnected passive systems

    Publication Year: 1980, Page(s):812 - 813
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB)

    When a large scale system is formed from linear interconnections of a number of passive subsystems, a diagonal dominance condition on the interconnection matrix is known to ensure asymptotic stability. It is shown that the same condition ensures that stability is retained when a large class of nonlinearities, including nonlinearities with memory, is allowed in the interconnections. In particular, ... View full abstract»

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  • Improved extended Kalman filter design for passive tracking

    Publication Year: 1980, Page(s):807 - 811
    Cited by:  Papers (47)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (472 KB)

    Extended Kalman filters are here modified for coordinate estimation of a stationary object using bearing measurements taken from a moving platform. The modifications improve significantly the coordinate estimation on the initial period of data collection when otherwise the performance is far from optimal. The modifications are to the nonlinearities and could, in some instances, be implemented by t... View full abstract»

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  • Statistical analysis of a two-ellipsoid overlap test for real-time failure detection

    Publication Year: 1980, Page(s):762 - 773
    Cited by:  Papers (39)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1272 KB)

    Real-time failure detection for systems having linear stochastic dynamical truth models has been posed in terms of two confidence region sheaths in [1]-[3]. One confidence region sheath is about the expected nominal no-failure trajectory; the other is about the Kalman estimate of the state(s) being monitored for failures. The implementation of a necessary and sufficient test of whether these two c... View full abstract»

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  • Periodic oscillations of matrix Riccatti equations in time-invariant systems

    Publication Year: 1980, Page(s):749 - 755
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (640 KB)

    Periodic oscillations arising in matrix Riccati equntions having constant coefficient matrices are investigated in this paper. The algorithm deriving such periodic solutions and the condition for their existence are obtained. Since matrix Riccati equations play a crucial role in optimal estimation and control theories, tn scattering theory, and in other important applications, the stability of sol... View full abstract»

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  • The digital implementation of control compensators: The coefficient wordlength issue

    Publication Year: 1980, Page(s):621 - 630
    Cited by:  Papers (48)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (984 KB)

    There exist a number of mathematical procedures for designing discrete-time compensators. However, the digital implementation of these designs, with a microprocessor, for example, has not received nearly as thorough an investigation. The finite-precision nature of the digital hardware makes it necessary to choose a computational structure that will perform adequately with regard to the initial obj... View full abstract»

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  • Optimal periodic control: The π test revisited

    Publication Year: 1980, Page(s):673 - 684
    Cited by:  Papers (50)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1000 KB)

    The paper examines second-order conditions for both steady-state and dynamic optimality in a periodic control problem. It centers on the π condition of Bittanti, Fronza, and Guardabassi [2] and has three main objectives: 1) to form a π "test" for a somewhat more general problem than considered in [2]; 2) to point out that certain auxiliary conditions must be added if the results of [2] a... View full abstract»

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  • Unification of some discrete-time adaptive control schemes

    Publication Year: 1980, Page(s):693 - 697
    Cited by:  Papers (26)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (552 KB)

    Adaptive control can be approached from many different points of view. In recent years there has been much progress made both on model reference adaptive systems (MRAS's) and on self-tuning regulators (STR's). The two approaches are treated here in a general framework. It is shown that MRAS's can be derived from the STR point of view. Special attention is paid to the positive real condition, which... View full abstract»

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  • Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability

    Publication Year: 1980, Page(s):773 - 779
    Cited by:  Papers (111)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (680 KB)

    In this paper, we study decomposition techniques for nonlinear large-scale systems, which have the feature that the interactions between the various subsystems are nonadditive. Using the technique of decomposing a graph into its strongly connected components, we first rewrite the system differential equations into a hierarchical form, by renumbering and aggregating the original state variables, if... View full abstract»

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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