IEEE Transactions on Automatic Control

Issue 2 • April 1971

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Displaying Results 1 - 25 of 33
  • [Front cover and table of contents]

    Publication Year: 1971, Page(s): 0
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    Freely Available from IEEE
  • On the generalization of state feedback decoupling theory

    Publication Year: 1971, Page(s):133 - 139
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (891 KB)

    The theory of state-variable feedback decoupling in multivariable control systems is generalized to include the case where a subset of the output set is the candidate for decoupling. Systems in which such decoupling is employed will be termed "partially decoupled." Decoupling a selected set of outputs, when achieved by using a state feedback matrixFand a nousingular (m times m View full abstract»

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  • On the noninferiority of Nash equilibrium solutions

    Publication Year: 1971, Page(s):170 - 173
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (555 KB)

    In this paperk-player nonzero sum differential games are considered. A necessary condition for the closed-loop Nash equilibrium solution to be noninferior is presented. This condition involves the rank of a matrix made up of the first partial derivatives of thekHamiltonians. This condition is also a sufficient condition for the existence of a solution with the property that i... View full abstract»

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  • Finite series solutions for the transition matrix and the covariance of a time-invariant system

    Publication Year: 1971, Page(s):173 - 175
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (428 KB)

    The transition matrixvarphicorresponding to then-dimensional matrixAcan be represented byvarphi(t) = g_{1}(t)I + g_{2}(t)A + ... + g_{n}(t)A^{n-1}, where the vectorg^{T} = (g_{1}, ... , g_{n})is generated fromdot{g}^{T} = g^{T}A_{c}, g^{T}(0) = (1, 0, ... , 0)and Acis the companion matrix toA. The result is app... View full abstract»

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  • Sampling in the human motor control system

    Publication Year: 1971, Page(s):180 - 183
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (614 KB)

    Some results of a physiological investigation of the sampling hypothesis in the human motor control system are presented in this paper. The hypothesis of a proprioceptively open loop system at the initiation of voluntary effort is not supported by data from ankle rotation. No discontinuity in the monosynaptic pathway (primary afferent fiber to alpha motoneuron) is observed during random isometric ... View full abstract»

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  • Optimal state-vector estimation for non-Gaussian initial state-vector

    Publication Year: 1971, Page(s):197 - 198
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (261 KB)

    The optimal estimate, in the mean-square-error sense, of state-vector of a linear system excited by zero-mean white Gaussian noise with non-Gaussian initial state-vector is obtained. Both the optimal estimate and the corresponding error covariance matrix are given. It is shown that the optimal estimator consists of two parts: a linear estimator that is obtained from a Kalman filter and a nonlinear... View full abstract»

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  • Comment on "Parameter and state estimation of a nonstationary process"

    Publication Year: 1971, Page(s):200 - 201
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (254 KB)

    The recently proposed method to identify a parameter and to estimate a state variable of a certain class of nonstationary processes is applied to the adaptive control with a quadratic criterion function and Gaussian noise added to the state transition. View full abstract»

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  • On the application of Pontryagin's criterion to distributed feedback systems

    Publication Year: 1971, Page(s):203 - 204
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (291 KB)

    Leth(x, t)be a polynomial with complex coefficients in the two complex variableszandt. Pontryagin[1] has developed necessary and sufficient conditions that the functionH(z) = h(z, e^{z})have zeros with only negative real parts. The usual case in a stability analysis of a feedback system is to be given a ratio of such polynomials for the open-loop case, a... View full abstract»

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  • An algorithm for the computation of the integral of the state transition matrix

    Publication Year: 1971, Page(s):204 - 205
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (260 KB)

    An efficient algorithm for the computation of the integral of the state transition matrix over the interval [0, T_{1}] is developed, It is assumed that there exists someT < T_{1}such that the state transition matrix and the integral of the state transition matrix can be computed as accurately as required over the interval [0, T]. View full abstract»

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  • [Back cover]

    Publication Year: 1971, Page(s): 0
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    Freely Available from IEEE
  • Recursive state estimation for a set-membership description of uncertainty

    Publication Year: 1971, Page(s):117 - 128
    Cited by:  Papers (360)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1760 KB)

    This paper is concerned with the problem of estimating the state of a linear dynamic system using noise-corrupted observations, when input disturbances and observation errors are unknown except for the fact that they belong to given bounded sets. The cases of both energy constraints and individual instantaneous constraints for the uncertain quantities are considereal. In the former case, the set o... View full abstract»

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  • Synthesis of optimal control systems with near sensitivity feedback

    Publication Year: 1971, Page(s):194 - 196
    Cited by:  Papers (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (416 KB)

    Design of optimal control systems with reduced sensitivity to parameter variations is attempted by employing trajectory sensitivity feedback and minimizing a cost term that includes the trajectory sensitivity. Since the trajectory, sensitivity, cannot be assessed directly, a successive approximation method that results in "near" sensitivity feedback is given for the case of linear regulators. The ... View full abstract»

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  • Accelerated procedures for the solution of discrete Markov control problems

    Publication Year: 1971, Page(s):147 - 152
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (800 KB)

    Accelerated procedures for computing optimal controls for a Markov chain model are discussed and numerical results are presented. For the example, one of the methods described gave a ten-fold decrease in computation time over a more usual procedure of dynamic programming. View full abstract»

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  • System equivalence in a class of nonlinear optimal control problems

    Publication Year: 1971, Page(s):189 - 194
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (872 KB)

    In a family of nonlinear optimal control problems, equivalence classes of problems that yield identical optimal closed-loop systems are delineated. The equivalence relations are established as one-to-one correspondences between the solutions of the Hamilton-Jacobi equations associated with the problems. Two such equivalence relations are presented. These allow an arbitrary problem in the family to... View full abstract»

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  • Note on the necessary and sufficient condition for decoupling of multivariable systems

    Publication Year: 1971, Page(s):201 - 202
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    This condition was first derived by Falb and Wolovich [1]. A less involved proof is given by Gilbert [2]. This correspondence derives it in a slightly more straightforward manner. It is felt that this gives a better understanding of the ideas involved. View full abstract»

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  • On quadratic optimization in distributed parameter systems

    Publication Year: 1971, Page(s):153 - 159
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (992 KB)

    Systems described by parabolic partial differential equations are formulated as ordinary differential equations in a Hilbert space. Quadratic cost criteria are then formulated as inner products on this Hilbert space. Existence of an optimal control is proved both in the case where the system operator is "coercive" and in the case where the system operator is the infinitesimal generator of a semigr... View full abstract»

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  • Casual systems and feedforward loops

    Publication Year: 1971, Page(s): 209
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

    It is shown that a causal linear system with an equal number of inputs and outputs can be made to be simultaneously invertible and output reproducible by employing a feedforward loop. This feed-forward loop does not affect the stability, of the system one way or the other. View full abstract»

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  • Lower order generalized aggregated model and suboptimal control

    Publication Year: 1971, Page(s):175 - 180
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (776 KB)

    A method for reducing the order of a linear time-invariant dynamic system is presented. It is shown that it is possible to retain the predominant eigenvalues (or any other set of eigenvalues) of the exact system in the lower order model that possesses the property that its state is an aggregation of the state variables of the original system. Also it is shown that the output of the reduced order m... View full abstract»

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  • Further comments on "Eigenvector scaling in a solution of the matrix Riccati equation"

    Publication Year: 1971, Page(s):211 - 213
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (408 KB)

    In the above correspondence,[1] Walter clarified the scaling required for validity of a certain formula for the inverse of the eigenvector matrix of a Hamiltonian matrix [1], [2]. It was further stated that this scaling must be performed to make valid recently published expressions for the time-varying solution of the matrix Riccati equation [1]. It is shown in this correspondence that the validit... View full abstract»

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  • Series solution to the general linear time varying system

    Publication Year: 1971, Page(s):210 - 211
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    The homogeneous solution (i.e., state transition matrix) to the general linear time varying system is shown to be a matrix power series generated by a time-varying matrix-differential operator operating recursively and noncommutatively on the identity matrix. The particular solution is shown to be a similar series generated by the same matrix operator operating recursively and noncommutatively on ... View full abstract»

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  • Two-level form of the Kalman filter

    Publication Year: 1971, Page(s):128 - 133
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (928 KB)

    Sequential estimation of the states of several high-order interconnected systems may be prohibitive on computer time and storage if the problem is formulated as for a single system. Therefore, multilevel systems theory has been applied to derive a coordination algorithm, with one-step convergence, for a number of subsystem Kalman estimators. The procedure may be computationally attractive for spar... View full abstract»

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  • An optimal stochastic control problem with observation cost

    Publication Year: 1971, Page(s):185 - 189
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (712 KB)

    The problem of simultaneously determining an optimal control strategy and an optimal observation strategy for a linear system is considered. Quadratic costs on state and control and an "on-off" type observation cost are assumed. Dynamic programming is used to obtain a solution. An example is provided that shows some interesting relations between the optimal observation strategy and various system ... View full abstract»

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  • Digital simulation of continuous systems

    Publication Year: 1971, Page(s):215 - 216
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (368 KB)

    First Page of the Article
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  • Linear optimal estimation with state dependent disturbances and time-correlated measurement noise

    Publication Year: 1971, Page(s):198 - 200
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    The linear filtering, prediction, and smoothing problems are treated for linear message processes with state-dependent noise and time-correlated measurement noise. In particular, a general smoothing formula for these classes of message processes is developed. The derivation evolves directly from the Wiener-Hopf equation and does not use the innovations process. View full abstract»

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  • Controllability and observability of multivariable systems

    Publication Year: 1971, Page(s):207 - 209
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    The controllability and observability of linear stationary multivariable control systems is investigated in the frequency domain. If the minimal polynomial of the system is of maximum degree, then a simple test involving mode cancellations determines controllability (observability). For the general case, a simple test based on a partial fraction expansion yields the necessary and sufficient condit... 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