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Automatic Control, IEEE Transactions on

Issue 2 • Date February 1985

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Displaying Results 1 - 23 of 23
  • [Front cover and table of contents]

    Publication Year: 1985 , Page(s): 0
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    Freely Available from IEEE
  • Numerical linear algebra aspects of control design computations

    Publication Year: 1985 , Page(s): 97 - 108
    Cited by:  Papers (34)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1456 KB)  

    The interplay between recent results and methodologies in numerical linear algebra and mathematical software and their application to problems arising in systems, control, and estimation theory is discussed. The impact of finite precision, finite range arithmetic [including the implications of the proposed IEEE floating point standard(s)] on control design computations is illustrated with numerous examples as are pertinent remarks concerning numerical stability and conditioning. Basic tools from numerical linear algebra such as linear equations, linear least squares, eigenproblems, generalized eigenproblems, and singular value decomposition are then outlined. A selected list of applications of the basic tools then follows including algorithms for solution of problems such as matrix exponentials, frequency response, system balancing, and matrix Riccati equations. The implementation of such algorithms as robust mathematical software is then discussed. A number of issues are addressed including characteristics of reliable mathematical software, availability and evaluation, language implications (Fortran, Ada, etc.), and the overall role of mathematical software as a component of computer-aided control system design. View full abstract»

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  • On retransmission control policies in multiple-access communication networks

    Publication Year: 1985 , Page(s): 109 - 117
    Cited by:  Papers (37)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1037 KB)  

    We focus on an earlier proposed class of ALOHA-type retransmission policies intended to control the random accessing of a single-channel communication network by a large number of packet-transmitting, bursty users. These control policies use channel feedback information to adaptively adjust the level of the traffic intensity, and can maintain any input rate less than e-1, for an infinite-population Poisson arrival model. Our analysis focuses on a simplified recursive model for describing locally the dynamics of the traffic intensity. The convergence analysis of this local model is reduced to stability analysis of a deterministic differential equation, and reveals a speed of convergence versus steady-state accuracy tradeoff. We introduce measures for evaluating this tradeoff. We use the proposed measures to show how certain parameter choices might best be made, and to study the effect of feedback limitations and channel errors on the performance of the random-access system. Our results show that with proper parameter choices the considered policies can be made extremely insensitive to channel errors. View full abstract»

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  • An equilibrium theory for multiperson decision making with multiple probabilistic models

    Publication Year: 1985 , Page(s): 118 - 132
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1521 KB)  

    This paper develops an equilibrium theory for two-person two-criteria stochastic decision problems with static information patterns, wherein the decision makers (DM's) have different probabilistic models of the underlying process, the objective functionals are quadratic, and the decision spaces are general inner-product spaces. Under two different modes of decision making (viz. symmetric and asymmetric), sufficient conditions are obtained for the existence and uniqueness of equilibrium solutions (stable in the former case), and in each case a uniformly convergent iterative scheme is developed whereby the equilibrium policies of the DM's can be obtained by evaluating a number of conditional expectations. When the probability measures are Gaussian, the equilibrium solution is linear under the symmetric mode of decision making, whereas it is generically nonlinear in the asymmetric case, with the linear structure prevailing only in some special cases which are delineated in the paper. View full abstract»

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  • A new technique for nonconvex primal-dual decomposition of a large-scale separable optimization problem

    Publication Year: 1985 , Page(s): 133 - 143
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (856 KB)  

    The primal-dual approach is quite effective in decomposing a convex separable optimization problem into several subproblems of smaller sizes. In this paper, we present a new technique which extends the primal-dual approach to nonconvex problems. Since a straightforward application of the multiplier method destroys separability, a new Lagrangian function is proposed which preserves separability. Based on this new function we develop a new iterative method for finding an optimal solution to the problem and show that the method is locally convergent to an optimal solution. Furthermore, the effect of certain parameters on the ratio of convergence is investigated and simple examples are given to illustrate the proposed approach. View full abstract»

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  • Generic controllability theorems for descriptor systems

    Publication Year: 1985 , Page(s): 144 - 152
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (683 KB)  

    This paper presents an extension of the structural controllability theorem to the case of structured descriptor systems (SDS). A major difficulty in this problem is the loss of independence among the entries of the system matrices. This difficulty is resolved by introducing the idea of column structured matrices (CSM). First, the paper defines and characterizes C - and R -controllability for descriptor systems. Then, the generic controllability theorem is proved, extending the structural controllability theorem to column structured systems (CSS). Finally, based on this result, necessary conditions and sufficient conditions for generic R - and C -controllability are obtained. The result gives a complete characterization of generic controllability for SDS with nonsingular E , and a partial solution for the case of singular E . View full abstract»

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  • Time domain stability concepts for multivariable nonlinear systems

    Publication Year: 1985 , Page(s): 153 - 155
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (295 KB)  

    This work presents bounded-input bounded-output and asymptotic stability criteria for multivariable systems with feedback nonlinearity. The approach is in the time domain and relates the nonlinear system's stability properties to certain important linearized system parameters. The stability criteria are particularly applicable to the analysis and design of nonlinear systems via linearization. View full abstract»

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  • Lyapunov function for power system with transfer conductances

    Publication Year: 1985 , Page(s): 155 - 158
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (397 KB)  

    A method is given for deriving a Lyapunov function for a two-machine power system with nonzero transfer conductances. The assumptions required are only mildly restrictive and are likely to be satisfied for practical values of machine parameters. The method shows promise for extension to systems of more than two machines. View full abstract»

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  • Criteria for asymptotic stability of linear time-delay systems

    Publication Year: 1985 , Page(s): 158 - 161
    Cited by:  Papers (59)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (384 KB)  

    Several sufficient conditions which guarantee stability of linear time-delay systems are derived. Each of these results is expressed by a succinct scalar inequality and corresponds to a certain extent to the tradeoff between simplicity and sharpness. View full abstract»

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  • The simplified derivation of the completion theorem to a unimodular matrix over R[zl, z2]

    Publication Year: 1985 , Page(s): 161 - 162
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (196 KB)  

    As indicated in a previous paper, there is a need for a simple constructive proof of the completion theorem of a 2-D unimodular matrix. The proof provided here is based on the concept of coprimeness of 2-D polynomial matrices and the 2-D version of the matrix fraction description (MFD) of a 2-D transfer function matrix as investigated by Morf et al. [6] and Youla and Gnavi [5]. View full abstract»

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  • On some bounds in the algebraic Riccati and Lyanupov equations

    Publication Year: 1985 , Page(s): 162 - 164
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (277 KB)  

    Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented. These bounds give information on "mean size" of the solution to the equations in a simple way. The obtained determinant bound for the Lyapunov equation shows the improvement over the previously reported one. View full abstract»

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  • The negative Routh test and its application to the cases of vanishing leading elements and imaginary roots

    Publication Year: 1985 , Page(s): 164 - 165
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (216 KB)  

    The ordinary Routh test furnishes in a straightforward manner the number r_{+} of positive roots of a polynomial of degree n . A modification that allows one to obtain the number r_{-} of negative roots in the same way is presented. Thus, the number roof (purely) imaginary roots is immediately found as n-(r_{+}+r_{-}) . The modified test is especially useful when there is a first column vanishing element. View full abstract»

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  • Bounded solutions of discrete singular systems on infinite time intervals

    Publication Year: 1985 , Page(s): 165 - 168
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (374 KB)  

    This paper concerns noncausal, nonlinear discrete singular systems of the form aX_{k+1} + Bx_{k} = m[x]_{k} on the infinite interval i = [0, 1, --.] for some causal, nonlinear time variable operators m . Existence theorems for bounded solutions are given. Methods for estimating the infinite time problem by a finite time problem are developed. View full abstract»

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  • Ripple-free deadbeat control of SISO discrete systems

    Publication Year: 1985 , Page(s): 168 - 170
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (288 KB)  

    The ripple-free deadbeat control problem for arbitrary (not necessarily stable) SISO linear discrete plants and reference signals is treated. It is established that a causal, stabilizing ripple-free deadbeat controller exists if and only if the zeros of the plant and the poles of the reference signal are disjoint, and a complete characterization of all such controllers is obtained. Solutions to two illustrative problems are presented. View full abstract»

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  • Optimal filtering of discrete-time linear stationary processes under high signal-to-noise ratio conditions

    Publication Year: 1985 , Page(s): 170 - 172
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    Expressions in closed form are obtained for the minimum error covariance matrix of the a priori filtered estimate of a discrete-time stationary process under high signal-to-noise ratio (SNR) conditions and for its corresponding constant Kalman gain matrix. These expressions are derived explicitly in terms of the process state-space description matrices. They are composed of the simple terms that have been obtained recently for the corresponding completely noise free measurement case and of correction terms that are all of the order of magnitude of the SNR. View full abstract»

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  • A theorem of equivalence on the methods of least-squares estimation

    Publication Year: 1985 , Page(s): 172 - 175
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (370 KB)  

    A theorem on the methods of least-squares estimation is stated and proved. This theorem enables the replacement of a system of correlated measurements by an equivalent system of uncorrelated measurements without a whitening process, thus simplifying the analysis while resulting in the same minimum-variance estimate. View full abstract»

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  • A mapping result between Wiener theory and Kalman filtering for nonstationary processes

    Publication Year: 1985 , Page(s): 175 - 177
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    A connection between Wiener theory and Kalman filtering is presented for discrete nonstationary finite-dimensional processes. A time-varying realization of input-output relation by matrix fraction description (MFD) form and the observer state-space form in operator notation are used to derive the innovation filters of the nonstationary processes and to express the Kalman gain in terms of Wiener theory. The results generalize the stationary case. View full abstract»

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  • A simulation aid to gain estimates for robust tuning regulators

    Publication Year: 1985 , Page(s): 177 - 179
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (285 KB)  

    Gain estimates for Davison's robust tuning regulator are shown to be directly computable from plant open-loop step data using low-order simulation techniques. At no stage of the procedure is a detailed model of plant dynamics required. View full abstract»

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  • Design of a state estimator for a class of time-varying multivariable systems

    Publication Year: 1985 , Page(s): 179 - 182
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (303 KB)  

    In this note, matrix operators are first introduced to develop a canonical transformation. Then it shows that a full order state estimator with any eigenvalues can be constructed for linear time-varying systems that are uniformly observable and "lexicography-fixed." A simple algorithm is provided to design the state estimator. View full abstract»

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  • Multistage linear estimation using partitioning

    Publication Year: 1985 , Page(s): 182 - 185
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (471 KB)  

    The estimation algorithm described in this note solves the linear estimation problem as a two-stage estimator consisting of two consecutive Kalman filters. The interconnections between this estimator structure and the more familiar one-stage optimal Kalman filter are discussed. Applications to decentralized estimation, bias estimation, and parameter identification are described. View full abstract»

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  • Optimal adaptive LQG control for systems with finite state process parameters

    Publication Year: 1985 , Page(s): 185 - 189
    Cited by:  Papers (27)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (420 KB)  

    The situation where a totally observed process ytis generated by a stochastic differential equation whose parameters evolve on a finite set {1, ... N} according to a stochastic differential equation is considered. The optimal control law is sought with respect to quadratic loss functions on ytand the control ut. The auxiliary P.D.E. technique of Hijab [6] is used together with a nonlinear filter to obtain the solution whose existence depends upon that of a smooth solution to the auxiliary P.D.E. and strong solutions to the system S.D.E. under the given control inputs. View full abstract»

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  • The strong consistency of the stochastic gradient algorithm of adaptive control

    Publication Year: 1985 , Page(s): 189 - 192
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (307 KB)  

    By use of a technique due to Chen, sufficient conditions are established for the strong consistency of the stochastic gradient (SG) algorithm for MIMO ARMAX stochastic systems without monitoring. This result is then used in conjunction with the method of disturbed adaptive controls introduced in [1], [2]. Hence it is shown that the SG algorithm generates strongly consistent parameter estimates while it is operating as a part of the SG algorithm of adaptive control of Goodwin, Ramadge, and Caines. View full abstract»

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  • [Back cover]

    Publication Year: 1985 , Page(s): 0
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    Freely Available from IEEE

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