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Automatic Control, IEEE Transactions on

Issue 10 • Date October 1986

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Displaying Results 1 - 25 of 29
  • [Front cover and table of contents]

    Publication Year: 1986 , Page(s): 0
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    Freely Available from IEEE
  • Scanning the issue

    Publication Year: 1986 , Page(s): 881 - 882
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    Freely Available from IEEE
  • Correction to "A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two"

    Publication Year: 1986 , Page(s): 991 - 992
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    First Page of the Article
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  • [Back cover]

    Publication Year: 1986 , Page(s): 0
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    Freely Available from IEEE
  • Optimal priority assignment with hard constraint

    Publication Year: 1986 , Page(s): 883 - 888
    Cited by:  Papers (18)
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    We consider a discrete-time queueing system consisting of K + 1 classes of customers competing for a single server at an infinite capacity queue. For each customer class the arrival sequence forms a renewal sequence but is otherwise arbitrary. The service requirements are geometric with class-dependent parameter. The optimization criterion is to minimize a linear combination of the average line lengths for classes 1 through K , while simultaneously subjecting the average line length of class-0 customers to a hard constraint. The optimal policy is shown to be a randomized modification of a static-priority policy. The optimization problem is thereby reduced to a problem of finding the optimal randomization factor. This is done in a particular case, when the arrival processes are independent and geometrically distributed. View full abstract»

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  • A simplification of the JPDAM algorithm

    Publication Year: 1986 , Page(s): 989 - 991
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (192 KB)  

    The JPDAM (joint probabilistic data association for possibly merged measurements) algorithm has been developed to track targets in the same neighborhood in a cluttered environment, where the target-originated measurements could be unresolved (merged). The JPDAM algorithm evaluates for each measurement the probability that it originated from a single target, from two targets (i.e., it is a merged measurement), or from clutter. The original work used a relatively complicated expression for the probability density function (pdf) of a merged measurement. In this note, a simple approximation for the pdf of a merged measurement is derived. The results are easy to implement and can be used to significantly simplify the JPDAM algorithm. Some typographical errors from [2] are also corrected. View full abstract»

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  • Numerical aspects of different Kalman filter implementations

    Publication Year: 1986 , Page(s): 907 - 917
    Cited by:  Papers (42)
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    A theoretical analysis is made of the error propagation due to numerical roundoff for four different Kalman filter implementations: the conventional Kalman filter, the square root covariance filter, the square root information filter, and the Chandrasekhar square root filter. An experimental analysis is performed to validate the new insights gained by the theoretical analysis. View full abstract»

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  • Frequency domain results for systems with multiple time scales

    Publication Year: 1986 , Page(s): 918 - 924
    Cited by:  Papers (12)
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    The mathematical treatment of systems with multiple time scales has traditionally employed the use of singular perturbation theory for differential equations. This paper treats such systems from a frequency-domain viewpoint. Previously existing two-frequency-scale results, involving approximation and algebraic characterization, are extended. In addition, an exact frequency-scale decomposition is presented. View full abstract»

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  • Multivariable self-tuning control via the right interactor matrix

    Publication Year: 1986 , Page(s): 987 - 989
    Cited by:  Papers (8)
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    The right interactor matrix can be used in the design of multivariable adaptive controllers based in many cases on minimal a priori plant knowledge. A self-tuning controller based on a quadratic performance measure is developed and its deterministic convergence is established. View full abstract»

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  • Adaptive control of a Markov chain over a finite parameter set without continuity assumptions on the control laws

    Publication Year: 1986 , Page(s): 985 - 987
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    In this note we provide an extension of some results given in [1] to the case without continuity assumptions on control laws w.r.t, state variable. This extension is important for applications since it is rarely the case that optimal stationary control laws are smooth enough (e.g., continuous), as a function of state, to satisfy continuity assumptions 1i/, 1iii/, and 1v of [1]. View full abstract»

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  • Estimating the plant state from the compensator state

    Publication Year: 1986 , Page(s): 964 - 967
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (456 KB)  

    For the system \dot{w} = Sw where w = (x\over{z}) , this note states and proves necessary and sufficient conditions under which a) z is an estimate of a linear function of x (i.e., z estimates Tx ), or b) a linear function of z is an estimate of x (i.e., Vz estimates x ). The mapping T has been used previously by the authors to compute the estimator-controller form of a compensator whose state vector z had the same dimension as the plant state vector x . View full abstract»

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  • The optimum stochastic control for a problem with random cost incursion times

    Publication Year: 1986 , Page(s): 978 - 980
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    A sequential stochastic control problem is considered in which the performance criterion cost is incremented periodically at random times. Although these cost incursion times are unknown, they are governed by a known prior probability density function. The optimum Bayesian control decision strategy is obtained by solving the stochastic dynamic programming equation. As anticipated, the solution exhibits a type of separation principle. View full abstract»

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  • Joint probabilistic data association in distributed sensor networks

    Publication Year: 1986 , Page(s): 889 - 897
    Cited by:  Papers (32)  |  Patents (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (736 KB)  

    A distributed multitarget tracking problem is considered. The joint probabilistic data association (JPDA) algorithm, which has been successfully used for tracking multiple targets in a cluttered environment, assumes a centralized processing architecture. It assumes that measurements are transmitted to a central site and processed. In some applications, however, it may be desirable for the sensor measurements to be processed at or near the sensors instead of transmitting them to the central processor. The local processed results are then sent over a communication network to be used by other processors. This paper presents a distributed version of the JPDA algorithm which is applicable under such a situation. View full abstract»

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  • Stability analysis of discrete-time adaptive controllers for systems with unknown delay

    Publication Year: 1986 , Page(s): 980 - 982
    Cited by:  Papers (1)
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    The stability of discrete-time adaptive controllers when the process delay is unknown is studied. Conditions for stability and instability are derived based on the analysis of the homogeneous part of the linear time-varying difference equation describing the behavior of the parameter estimates. First, using a Lyapunov approach, it is shown that for slow adaptation the inclusion of a leakage [1] and a new normalization factor in the estimation law (2), (8) allows us to preserve stability when the delay is overestimated. Second, we prove that, when the delay is underestimated and no leakage is used, the parameters obtained with a projection estimator grow unbounded for sufficiently high adaptation gains. View full abstract»

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  • Adaptive control with finite time persistency of excitation

    Publication Year: 1986 , Page(s): 982 - 985
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (392 KB)  

    An adaptive control algorithm for discrete-time SISO systems is presented. The main feature is the fact that it requires an external persistently exciting signal for a finite interval of time. In this way tracking of a class of signals (such as set points) can be achieved within an arbitrarily small error. View full abstract»

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  • On vanishing stability regions in nonlinear systems with high-gain feedback

    Publication Year: 1986 , Page(s): 967 - 970
    Cited by:  Papers (27)
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    When local stabilization of nonlinear systems is achieved by linear feedback, the resulting stability region may vanish as the feedback gains increase. This is demonstrated by examples in which neglected nonlinearities create an unstable limit cycle around an asymptotically stable equilibrium. As the feedback gains tend to infinity the unstable limit cycle shrinks to the equilibrium. If a feedback linearization design is applied, the same instability mechanism may occur when the nonlinearities are not precisely known. View full abstract»

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  • Stability studies of control systems using a non-Luré type Lyapunov function

    Publication Year: 1986 , Page(s): 970 - 972
    Cited by:  Papers (2)
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    Stability of control systems with multiple nonlinearities is discussed. A non-Luré type Lyapunov function is presented, which surpasses the Luré-type function from the point of view of the stability region guaranteed. This function is used to establish a stability criterion for the system. The superiority of the function proposed is indicated by a numerical example, comparing the stability boundary to that obtained by a Luré-type Lyapunov function. View full abstract»

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  • Method of robust stability analysis with highly structured uncertainties

    Publication Year: 1986 , Page(s): 935 - 940
    Cited by:  Papers (30)
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    This paper presents a method of analyzing the stability of linear time-invariant interconnected systems with uncertainties: each subsystem is single-input single-output and its vector locus lies inside a polygon at each frequency. It is shown that the convex closure of the image of the Cartesian product of these polygons under the mapping \phi = \det [I + FH] agrees with the convex closure of the image of the vertices of these polygons under the mapping φ. From this result the image can be estimated by a finite Dumber of calculations. A sufficient stability condition is obtained by applying this result to the multivariable Nyquist stability criterion. View full abstract»

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  • Potentially global stabilizability

    Publication Year: 1986 , Page(s): 974 - 976
    Cited by:  Papers (3)
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    In this note we consider a particular class of nonlinear systems with a controllable linear part. We prove that by an appropriate choice of a feedback law, it is possible to transform the system in such a way that the origin is asymptotically stable and the region of attraction is arbitrarily large. View full abstract»

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  • Extended least squares and their applications to adaptive control and prediction in linear systems

    Publication Year: 1986 , Page(s): 898 - 906
    Cited by:  Papers (44)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (840 KB)  

    Herein strong consistency of recursive extended least squares is established under considerably weaker assumptions than previously assumed in the literature. The argument used to establish consistency also leads to certain basic properties of adaptive predictors based on these recursive estimators. Making use of these properties of the adaptive predictors, simple modifications of the Åström-Wittenmark self-tuning regulator are proposed and shown to be asymptotically optimal. View full abstract»

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  • The proof of Goka's conjecture

    Publication Year: 1986 , Page(s): 972 - 974
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    If the system X_{k+1} = (A + u_{k}B)X_{k}, k = 0, 1, ..., is controllable with |u_{k}| < \delta for all \delta > 0 , then the eigenvalues of A lie on the unit circle. This is Goka's conjecture. Through algebraic transformation and discussion of invariant proper subsets, this note gives a proof of the conjecture, and shows that for more general discrete-time bilinear systems, the conjecture is still true. View full abstract»

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  • Model reduction of digital systems using discrete Walsh series

    Publication Year: 1986 , Page(s): 962 - 964
    Cited by:  Papers (3)
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    This study discusses the application of discrete Walsh series expansion to reduce the order of a linear time-invariant digital system described by z -transfer function. The approach is based on matching the discrete Walsh spectra to determine both the coefficients of the denominator and numerator of the reduced model. The proposed method is simple for computation, can preserve the dynamic characteristic of the original model satisfactorily, and guarantees to have the same zero initial response as the original system. View full abstract»

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  • Decomposition and stability for multiparameter singular perturbation problems

    Publication Year: 1986 , Page(s): 925 - 934
    Cited by:  Papers (6)
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    Time-scale separation and stability of linear time-varying and time-invariant multiparameter singular perturbation problems are analyzed. The first problem considered in the paper is that of deriving upper bounds on the small "parasitic" parameters ensuring the existence of an invertible, bounded transformation exactly separating fast and slow dynamics. This problem is most interesting for the time-varying case. The analysis of this problem in the time-varying case requires the two-time-scale setting introduced by H. K. Khalil and P. V. Kokotovic [16]. This entails that the mutual ratios of the small parameters are bounded by known positive constants. The second problem considered is to derive parameter bounds ensuring that the system in question is uniformly asymptotically stable. The results on decomposition are used to facilitate the derivation of these latter bounds. Fortunately, the analysis of decomposition and stability questions for time-invariant multiparameter singular perturbation problems requires no restriction on the relative magnitudes of the small parameters. A concept of "strong D -stability" is introduced and shown to greatly simplify the stability analysis of time-invariant multiparameter problems. View full abstract»

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  • Weighted minimum variance controller for nonsquare multivariable systems

    Publication Year: 1986 , Page(s): 976 - 977
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    A weighted minimum variance controller is described for nonsquare multivariable systems. The controller is a generalization of the scalar case which can ensure stability even when the system is open-loop unstable and nonminimum phase. Moreover, as the control weighting tends to zero, asymptotic stability is guaranteed. View full abstract»

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  • Monodromy eigenvalue assignment in linear periodic systems

    Publication Year: 1986 , Page(s): 950 - 952
    Cited by:  Papers (25)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (352 KB)  

    This note addresses the problem of assigning the eigenvalues of the monodromy matrix of a linear continuous-time periodic system by periodic state feedback. A controllability criterion is given which slightly strengthens known results. An explicit expression for a periodic feedback gain which performs the pole assignment is given. When the system is controllable over one period, the whole monodromy matrix is assignable by periodic feedback. An example is given. 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