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Automatic Control, IEEE Transactions on

Issue 3 • Date June 1967

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  • [Front cover and table of contents]

    Publication Year: 1967 , Page(s): 0
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    Freely Available from IEEE
  • Exponential growth

    Publication Year: 1967 , Page(s): 237 - 238
    Cited by:  Papers (1)
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    Freely Available from IEEE
  • Issue in brief

    Publication Year: 1967 , Page(s): 239 - 240
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    Freely Available from IEEE
  • Optimal attitude control of a spinning space-body--A graphical approach

    Publication Year: 1967 , Page(s): 241 - 249
    Cited by:  Papers (2)
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    A simplified mathematical model of a rigid, long space-body, spinning at constant rate about an axis of symmetry, is presented. From a heuristic analysis of the vehicle trajectories in the pitch-yaw plane, obtained by application of impulsive control effort, the minimum-fuel two-impulse control law for the case of unlimited thrust is readily deduced. This yields the absolute lower bound on fuel consumption. For the case of limited thrust, based on the minimum-fuel two-impulse control scheme, two suboptimal control laws are determined and illustrated with examples. An approximate graphical construction of the trajectories in the pitch-yaw plane is given, from which the total fuel spent and the total time for control can be evaluated. View full abstract»

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  • Minimum-energy control of a second-order nonlinear system

    Publication Year: 1967 , Page(s): 249 - 255
    Cited by:  Papers (5)
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    This paper establishes the bounded control function u(t) which minimizes the total energy expended by a submerged vehicle (for propulsion and hotel load) in a rectilinear translation with arbitrary initial velocity, arbitrary displacement, and zero final velocity. The motion of the vehicle is determined by the nonlinear differential equation \ddot{x}+adot{x}|dot{x}| = u, a > 0 . The performance index to be minimized is given by S =\int_{0}^{T}(k+u\dot{x})dt , with T open and k > 0. The analysis is accomplished with the use of the Pontryagin maximum principle. It is established that singular controls can result when k \leq 2 \sqrt {U^{3}/a} . U is the maximum value of |u(t)| . View full abstract»

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  • Optimal control of systems with pure time delays using a variational programming approach

    Publication Year: 1967 , Page(s): 255 - 262
    Cited by:  Papers (4)
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    This paper develops a variational programming algorithm of an iterative nature which generates an optimal feedback control for systems with pure time delays in the plant dynamical equations. The computational approach is based on the theory of weak relative minima of the classical calculus of variations and may be applied in situations where the plant is nonlinear and/or the performance index is nonquadratic. View full abstract»

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  • Nonlinear filtering: The exact dynamical equations satisfied by the conditional mode

    Publication Year: 1967 , Page(s): 262 - 267
    Cited by:  Papers (9)
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    The signal xtis a stochastic process satisfying the stochastic differential equation dx = f(x)dt+dz . Observations \dot{y} =g(x) +\xi are taken, where \xi is white noise. The exact dynamical equation for the mode of the conditional density of xtis derived and discussed. View full abstract»

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  • Error bounds of continuous Kalman filters and the application to orbit determination problems

    Publication Year: 1967 , Page(s): 268 - 275
    Cited by:  Papers (26)
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    The effect of errors due to incorrect a priori information on initial states as well as on noise models in continuous Kalman-Bucy filters has been investigated in this paper. A conservative design criterion has been established, and a convenient formula for computing error bounds has been derived which will allow parametric studies of the error effect. The results are applied to typical orbit determination problems of the spacecraft subject to random acceleration having noise contaminated Doppler or range data. View full abstract»

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  • Methods for injection-error analysis and their comparison

    Publication Year: 1967 , Page(s): 276 - 281
    Cited by:  Papers (1)
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    Statistical techniques for the analysis of missile injection errors are studied in detail. The commonly used direct and adjoint methods are reviewed and extended. It is shown that the determination of the covariance matrix is equivalent to the determination of two transformation matrices for both methods. In general, the adjoint method is more efficient. But for a special case the direct method could be preferable depending upon the relative dimension of the system state and the error source. Two examples are given to verify the results. The techniques presented can be applied equally well to a wide variety of control system problems. View full abstract»

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  • A learning method for system identification

    Publication Year: 1967 , Page(s): 282 - 287
    Cited by:  Papers (175)  |  Patents (17)
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    A method for system identification is proposed which is based on the error-correcting training procedure in learning machines, and is referred to as "learning identification." This learning identification is nondisturbing, is applicable to cases where the input signal is random and nonstationary, and can be completed within a short time, so that it may be used to identify linear quasi-time-invariant systems in which some parameters vary slowly in comparison with the time required for identification. This merit also makes it possible to eliminate noise disturbances by means of the moving average method. Computer simulation of the learning identification was carried out and the times required for identification were obtained for various cases. Some modifications of the learning identification were also investigated together with their computer simulations. View full abstract»

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  • Canonical forms for linear multivariable systems

    Publication Year: 1967 , Page(s): 290 - 293
    Cited by:  Papers (154)
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    A class of well-known canonical forms for single-input or single-output controllable and observable systems are extended to multivariable systems. It is shown that, unlike the single-variable case, the canonical forms are generally not unique, but that the structure of the canonical form can be controlled to some extent by the designer. A major result of the paper is that a multi-input system can be transformed to a set of coupled single-input subsystems. View full abstract»

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  • A simple configuration for approximate learning models

    Publication Year: 1967 , Page(s): 293 - 296
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    The application of simple-pole configurations as learning models in self-optimizing control systems is considered, in particular for the case when the model must be an approximate plant representation. Theoretical bases are presented for evaluating a model's adequacy as a simulator and predictor within a control system; and it is shown that a model with a variable multiple time constant and variable gain will often be the best simple configuration. This type of model is likely to be useful as a self-adjusting learning model because it has only two parameters, each of which has a significant effect on the response. View full abstract»

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  • Optimal linear regulators with incomplete state feedback

    Publication Year: 1967 , Page(s): 296 - 299
    Cited by:  Papers (15)
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    An optimal linear regulator calls for feedback of all the state variables in the plant. If the plant state is not completely known (i.e., if some of the plant state variables are not available for measurement and feedback), the optimal control law obtained from the available state variables should minimize the maximum (with respect to all initial states of the plant) deviation (increase) in the value of the performance index. Necessary and sufficient conditions for such a control law to be optimal are derived and design procedure is developed to compute such optimal control laws. View full abstract»

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  • An application of computer-aided design methods to the near-optimal control of a damped, second-order system

    Publication Year: 1967 , Page(s): 299 - 302
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (359 KB)  

    An optimization program is developed for the optimum trade-off characteristics between the control effort and the control time for this problem. These results are then used in a design evaluation procedure which yields a simple nonlinear feedback design having good compromise performance on or near the optimum performance bound. The performance points for some previous designs for this problem are also given. View full abstract»

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  • On solutions of the Riccati equation in optimization problems

    Publication Year: 1967 , Page(s): 303 - 304
    Cited by:  Papers (9)
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    The difference D between two solutions S and M of the matrix Riccati equation. -\dot{M} = MA + A'M + MBM + C is given by D = RQ^{-1}R' , where -\dot{R} = (A+SB)R and -\dot{Q}= RBR' . These relations can be used to evaluate M(t) for t < T arising in optimization problems in which M(T) does not exist. The relations can also be used to compare the solution of the Riccati equation with its asymptotic solution. View full abstract»

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  • Optimization of systems with pulse-width-modulated control

    Publication Year: 1967 , Page(s): 307 - 309
    Cited by:  Papers (1)
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    The problem of finding pulse-width-modulated signals which provide optimal control for a specified plant is considered. A set of necessary conditions which must be satisfied by the optimal control is derived using the calculus of variations. A steepest-descent procedure is developed to obtain a numerical solution to the resulting nonlinear two-point boundary value problem. Special features of the numerical procedure are automatic step size adjustment and the generation of a sequence of performance indices which is monotonic. An example which illustrates the range of application is given. View full abstract»

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  • Bang-bang control strategy using a tabular adaptive model

    Publication Year: 1967 , Page(s): 310 - 312
    Cited by:  Papers (1)
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    An adaptive-predictive model for nonlinear, finite settling-time processes has been described by Roy et al., This paper utilizes this model for the trajectory following control of both finite and infinite settling-time nonlinear systems with switched two-level input. View full abstract»

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  • A note on sensitivity of system observability

    Publication Year: 1967 , Page(s): 314 - 315
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  • Discussion on "Parametric relations for the &#945;-&#946;-&#957; filter predictor"

    Publication Year: 1967 , Page(s): 315 - 317
    Cited by:  Papers (10)
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  • On suboptimal linear filter design

    Publication Year: 1967 , Page(s): 317 - 318
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  • On increasing sampling efficiency by adaptive sampling

    Publication Year: 1967 , Page(s): 318
    Cited by:  Papers (4)
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    An approach for increasing sampling efficiency in closed-loop error-sampled control systems is presented. Comparison with the results of previous works is made by an illustrative example. View full abstract»

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  • A note on multirate sampled-data systems

    Publication Year: 1967 , Page(s): 319 - 320
    Cited by:  Papers (22)
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  • Quadratic performance criteria with linear terms in discrete-time control

    Publication Year: 1967 , Page(s): 320 - 321
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  • On a classical variational formulation of a multidimensional control process

    Publication Year: 1967 , Page(s): 321 - 323
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  • Control problems with linear dynamics, quadratic criterion, and linear terminal constraints

    Publication Year: 1967 , Page(s): 323 - 324
    Cited by:  Papers (4)
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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