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IEEE Transactions on Automatic Control

Issue 1 • Date February 1967

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Displaying Results 1 - 25 of 45
  • [Front cover and table of contents]

    Publication Year: 1967, Page(s): 0
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    Freely Available from IEEE
  • More issues

    Publication Year: 1967, Page(s): 1
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    Freely Available from IEEE
  • Issue in brief

    Publication Year: 1967, Page(s):2 - 3
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    Freely Available from IEEE
  • Optimal investment policy: An example of a control problem in economic theory

    Publication Year: 1967, Page(s):4 - 14
    Cited by:  Papers (32)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (921 KB)

    A problem in mathematical economics concerning the optimal investment of resources is solved via the techniques of optimal control theory. Interesting theoretical complications include the simultaneous presence of interdependent control variable inequality constraints, state variable inequality constraints, and singularity conditions. Economic implications of the results are briefly discussed. View full abstract»

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  • On a goal-keeping differential game

    Publication Year: 1967, Page(s):15 - 21
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (484 KB)

    A tactical situation analogous to the goal-keeping and scoring problem in hockey is considered. The problem is formulated as a differential game and solved analytically using dynamic programming techniques. The analytic solution is represented by return function maps (in two variables). Other approaches to the problem are indicated with a discussion of their particular advantages and difficulties.... View full abstract»

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  • On the design of optimum distributed parameter system with boundary control function

    Publication Year: 1967, Page(s):22 - 28
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (524 KB)

    The problem of optimum control of a distributed parameter system with boundary control is studied. The distributed parameter system considered is described by the N -dimensional wave equation. The error measure is quadratic. The control function is unconstrained. The Riccati equation for optimum boundary control is derived. Methods for solving the Riccati equat... View full abstract»

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  • Optimum control of a class of distributed-parameter systems

    Publication Year: 1967, Page(s):29 - 37
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (653 KB)

    Optimum control of a class of distributed-parameter systems subject to control signal saturation is studied. The system performance is optimized with respect to an integral criterion function. This problem is solved by making use of coordinate transformation and Butkovskii's maximum principle. For this class of systems with distinct characteristic roots, the optimum control law is found to be the ... View full abstract»

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  • An approximation to bounded phase coordinate control problem for linear discrete systems

    Publication Year: 1967, Page(s):37 - 42
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (460 KB)

    This paper considers the penalty function method to obtain an approximate solution to the bounded phase coordinate optimal control problem for linear discrete systems with essentially quadratic cost functionals. The penalty function assumes positive values outside the phase constraint set, and zero inside the phase constraint set. The problem is to find an optimal control from a convex compact con... View full abstract»

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  • Frequency criteria for bounded-input--Bounded-output stability of nonlinear sampled-data systems

    Publication Year: 1967, Page(s):46 - 53
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (602 KB)

    Sufficient conditions for absolute stability in the bounded-input-bounded-output sense are obtained for a class of nonlinear sampled-data systems. The criteria are identical to those establishing absolute stability in a global stability sense for the same class of autonomous nonlinear sampled-data systems. View full abstract»

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  • Finite time stability under perturbing forces and on product spaces

    Publication Year: 1967, Page(s):54 - 59
    Cited by:  Papers (262)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (533 KB)

    This paper continues the development of a qualitative theory of stability, recently initiated by the authors, for systems operating over finite time intervals. The theory is motivated by 1) the need for a more practical concept of stability than is provided by the classical theory; and 2) the search for methods for investigating stability of a system trajectory (either analytically or numerically ... View full abstract»

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  • Numerical computation of optimal control

    Publication Year: 1967, Page(s):59 - 66
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (674 KB)

    The formal solution for dynamically optimized control of a process is specified in terms of a two-point boundary problem. The numerical computation then presents great difficulties and speed of convergence is vital, even with the most powerful of contemporary computers. The authors give a method for rapid final convergence in which the two-point boundary problem is avoided altogether, although it ... View full abstract»

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  • An application of an analog computer to solve the two-point boundary-value problem for a fourth-order optimal control problem

    Publication Year: 1967, Page(s):67 - 75
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (623 KB)

    The application of Pontryagin's maximum principle to trajectory optimization problems results in a two-point boundary-value problem. Computationally, this problem is solved by various digital techniques which are sometimes inconvenient and costly. An analog computer can be used to solve a large class of two-point boundary-value problems if the accuracy is acceptable. In this paper, an analog compu... View full abstract»

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  • An approach to model-referenced adaptive control systems

    Publication Year: 1967, Page(s):75 - 80
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (592 KB)

    This paper considers the model-referenced adaptive control problem. An adaption technique that is extremely simple to implement is derived analytically. The simplicity of this technique gives it a distinct advantage over other techniques that have been described in the literature and makes it attractive for practical applications. A direct approach to the problem is taken, employing the state-spac... View full abstract»

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  • Control of linear plants with zeros and slowly varying parameters

    Publication Year: 1967, Page(s):80 - 83
    Cited by:  Papers (3)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (372 KB)

    A reduction of order technique is developed which is useful in controller design for single-input, single-output, linear plants which have transfer functions with zeros and parameters which vary slowly compared to the response time of the plant. The controller design is based on a Liapunov-like method and employs a model reference. The reduction of order technique allows the control signal to be g... View full abstract»

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  • On line solution of optimal nonstationary linear systems

    Publication Year: 1967, Page(s):83 - 85
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB)

    The gradient acceleration technique is described as a means for solving optimal nonstationary linear systems with unbounded control. A numerical example with a free terminal state is solved. Also, the usefulness of this method for nonlinear and bounded control linear systems is indicated. View full abstract»

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  • Application of game theory to the sensitivity design of optimal systems

    Publication Year: 1967, Page(s):85 - 87
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (322 KB)

    The theory of games is applied to the design of systems with unknown plant parameters. It is assumed that a controller structure is known and furthermore that this controller is optimal when the controller parameters are equal to the plant parameters. The performance index then becomes a function of plant and controller parameters. This function is treated as a pay-off function with the antagonist... View full abstract»

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  • Linear optimal control problems with isoperimetric constraints

    Publication Year: 1967, Page(s):87 - 90
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (409 KB)

    Optimum control problems with convex inequality side constraints are studied. It is shown that in quite general circumstances an optimum controller can be obtained, and necessary and sufficient conditions for its determination are derived. View full abstract»

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  • Nonlinear feedback solution to a bounded Brachistochrone problem in a reduced state space

    Publication Year: 1967, Page(s):90 - 94
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (495 KB)

    The optimal nonlinear feedback law for both an unbounded and bounded Brachistochrone problem is given. These control laws describe the Brachistochrone problem in a very simple manner. These laws are derived by using a dimensionless set of state variables which spans a lower dimensional space than the original state space. Also using this reduced state space a two-dimensional instead of three-dimen... View full abstract»

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  • A closed-loop, approximately time-optimal control method for linear systems

    Publication Year: 1967, Page(s):94 - 97
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (431 KB)

    In this paper, a method is developed for the closed-loop, approximately time-optimal control of a class of linear systems with a total effort constraint. This method is based on a special class of solutions of the Hamilton-Jacobi equation, called eigenvector scalar products. The procedure to be followed is systematically presented, and the method is shown to represent an effective compromise betwe... View full abstract»

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  • Interpolation and extrapolation schemes in dynamic programming

    Publication Year: 1967, Page(s):97 - 99
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (306 KB)

    Classical dynamic programming techniques for the solution of optimal control problems require excessive computer storage capacity. A recently published variation overcomes the problem at the expense of requiring occasional extrapolation along the time axis. The present paper suggests that extrapolation in state space may give higher accuracy. Numerical results are presented in confirmation. View full abstract»

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  • Some results on an inverse problem in multivariable systems

    Publication Year: 1967, Page(s):99 - 101
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (256 KB)

    A systems property of great interest to the control engineer concerns the system's ability to exhibit those responses which are asked of it. This capability is governed by the nature of the system equations and the set of inputs which are available to 'force' the system. Given the set of desired system responses Sy, and the system equations, this paper is concerned with characterizing t... View full abstract»

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  • Simulating a production scheduling control system

    Publication Year: 1967, Page(s):102 - 103
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (194 KB)

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  • On the synthesis problem in optimal systems

    Publication Year: 1967, Page(s):103 - 104
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (197 KB)

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  • A note on problems with periodic target sets

    Publication Year: 1967, Page(s):104 - 105
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (175 KB)

    For certain types of optimization problems, the target set may consist of an infinite number of points uniformly spaced along one or more of the state variable axes. This is true, for example, in the case of time optimal single-axis attitude control. Since the target set is noncompact, the maximum principle cannot be applied directly. However, a new set of state variables can be defined ahich elim... View full abstract»

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  • Application of Green's theorem to optimization problems with state-variable inequality constraints

    Publication Year: 1967, Page(s):105 - 106
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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