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Automatic Control, IEEE Transactions on

Issue 1 • Date February 1975

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Displaying Results 1 - 25 of 60
  • [Front cover and table of contents]

    Publication Year: 1975 , Page(s): 0
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    Freely Available from IEEE
  • Comments on "Estimation in linear delayed discrete-time systems with correlated state and measurement noises"

    Publication Year: 1975 , Page(s): 176 - 177
    Cited by:  Papers (2)
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    In a recent paper, equations were derived for the state estimation and the error covariance of a linear discrete-time delayed system involving correlated noises. However, there appears to be a fundamental mistake in the procedure given and this is corrected. View full abstract»

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  • Comments on "A simplification of Jury's tabular form

    Publication Year: 1975 , Page(s): 177 - 178
    Cited by:  Papers (1)
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    First Page of the Article
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  • Author's reply

    Publication Year: 1975 , Page(s): 178
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    The author thanks Dr. Jury for his comments. The auxiliary constraints, based on evaluation of F(1) and F(-1), can be used to shorten the necessary computation, particularly in the singular cases. (In the nonsingular case, evaluation of F(1) and F(-1) is comparable to the steps saved in the tabular form.) It is to be noted, however, that the simplicity of the proposed method and the directness with which results are presented lend themselves to the assimilation of the auxiliary constraints and any other information incidental to a specific problem into the analysis. View full abstract»

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  • Comments on "On the Routh-Hurwitz criterion"

    Publication Year: 1975 , Page(s): 178 - 179
    Cited by:  Papers (6)
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  • Author's reply

    Publication Year: 1975 , Page(s): 179
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (84 KB)  

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  • Author's reply

    Publication Year: 1975 , Page(s): 180
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  • Comments on "On the simplification of linear systems"

    Publication Year: 1975 , Page(s): 180 - 181
    Cited by:  Papers (1)
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  • Author's reply

    Publication Year: 1975 , Page(s): 181
    Cited by:  Papers (1)
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    The author appreciates very much the comments on his work and the commenter's supplement of other important references related to the subject of system order reduction. With respect to the comment on the physical basis of the criterion he describes, the author maintains he has clearly stated in his article that the criterion is based on the philosophy that the low order model L(s) is chosen to approximate the frequency response of the higher order system H(s). On the point of using a vector criterion instead of a scalar criterion, there is no doubt that the former is, in theory, more powerful than the latter. However, the former may easily lead to optimization problems which are more difficult to solve. The author fully agrees with the commentor's view that the "best model" is highly dependent on the specific application involved. Therefore, a more logical way for obtaining a specific model is to incorporate into the simplification criterion, a priori, elements measuring the performance of the resulting overall system. View full abstract»

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  • [Back cover]

    Publication Year: 1975 , Page(s): 0
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    Freely Available from IEEE
  • An extension of Bass' algorithm for stabilizing linear continuous constant systems

    Publication Year: 1975 , Page(s): 153 - 154
    Cited by:  Papers (8)
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    A stabilization algorithm of Bass originally developed for controllable systems is extended to include systems which are stabilizable. View full abstract»

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  • Compensator design for linear multivariable systems

    Publication Year: 1975 , Page(s): 113 - 116
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    A configuration and an orderly procedure for the design of linear multivariable control systems are presented. This procedure employs transfer function matrices to specify the system response to set point changes and disturbances. Neither a state-variable formulation nor solution of the matrix Riccati equation are required. The design procedure is illustrated by a simple example involving an unstable system. View full abstract»

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  • Some new results in linear time-varying systems

    Publication Year: 1975 , Page(s): 159 - 161
    Cited by:  Papers (4)
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    This correspondence presents some new results for linear time-varying systems \dot{x}(t)=A(t)x(t) . These new results include, 1) an explicit necessary and sufficient condition of stability that can be determined directly by joint eigenvalues of two constant matrices, and 2) a new class of reducible systems which needs not be periodic, as is required in Floquet theory. View full abstract»

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  • Differential controllability and the solution of linear inequalities--Part I

    Publication Year: 1975 , Page(s): 128 - 131
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    Two characterizations of differentially controllable linear autonomous systems for which the origin is assumed to be a boundary point of the control restraint set are presented. These characterizations extend well-known results which contain the assumption that the origin is interior to the control restraint set. These characterizations are given in terms of the system matrix and the control restraint set. The first theorem applies to arbitrary restraint sets, while the second is restricted to polyhedral regions. The second characterization is the basis for a computational algorithm for the determination of differential controllability to be described in a future paper. View full abstract»

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  • Singular perturbations of a class of time-optimal controls

    Publication Year: 1975 , Page(s): 163 - 164
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    An approximate time-optimal control of a linear time invariant system consisting of a cascade of fast and slow subsystems is proposed. View full abstract»

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  • New results on the controllability and observability of general composite systems

    Publication Year: 1975 , Page(s): 123 - 128
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (496 KB)  

    Using Rosenbrock's frequency domain approach [1], necessary and sufficient conditions are obtained for a general series-parallel or feedback composite system to be controllable or/and observable. The conditions are given in terms of the state equations of the composite system and are very simple to compute. Using these results, it is shown that a general series-parallel feedback cascade system is controllable or/and observable for "almost all" interconnection matrices, provided some mild conditions on the subsystems are imposed. View full abstract»

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  • Algebraic approach to discrete linear control

    Publication Year: 1975 , Page(s): 116 - 120
    Cited by:  Papers (6)
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    A new unified approach to the optimal control of discrete linear constant systems is presented. The approach is based exclusively on algebraic properties of polynomials and the synthesis procedure reduces to solving a linear polynomial Diophantine equation. This is believed to be conceptually simpler and computationally superior to existing methods. View full abstract»

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  • Energy based dynamic model for Lago Pond, Ga

    Publication Year: 1975 , Page(s): 98 - 101
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    An aquatic ecosystem model for a Georgia farm pond is presented. This pond is managed for sport fishing, for primarily largemouth bass. The pond is fertilized in the spring and periodically throughout the summer in order to cause algal blooms. Such an increase in primary productivity travels up the food chain, directly causing an increase in bass population. This leads to a management scheme in which an optimal control problem can be formulated, the solution of which gives a fertilizer application scheme that maximizes a weighted average standing crop of bass. View full abstract»

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  • Output feedback decoupling

    Publication Year: 1975 , Page(s): 148 - 149
    Cited by:  Papers (15)
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    New, concise, necessary, and sufficient conditions are derived for dynamically decoupling a large class of linear multivariable systems through the employment of constant gain output feedback. The conditions directly imply a constructive procedure for decoupling and reassigning the closed-loop poles, as illustrated by example. View full abstract»

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  • Estimation for rotational processes with one degree of freedom--Part III: Implementation

    Publication Year: 1975 , Page(s): 31 - 33
    Cited by:  Papers (2)
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    In this paper we interpret and comment on the practical significance of the estimation problems considered in Part I [1] of this series. The problem of implementation of our results is addressed, and the results of a numerical simulation are reported. View full abstract»

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  • On the global controllability of perturbed nonlinear systems

    Publication Year: 1975 , Page(s): 170 - 172
    Cited by:  Papers (10)
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    Sufficient conditions for global controllability of certain types of perturbed nonlinear time-varying systems are given. The results are obtained by using Schauder's fixed-point theorem. View full abstract»

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  • Eigenvectors in modal control

    Publication Year: 1975 , Page(s): 161 - 162
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    Expressions, in a particularly useful form, are given for the new row and column eigenvectors of a linear system after the application of state vector feedback to a single input. View full abstract»

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  • Superiority of transfer function over state-variable methods in linear time-invariant feedback system design

    Publication Year: 1975 , Page(s): 84 - 97
    Cited by:  Papers (13)
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    The objectives and achievements of state-variable methods in linear time-invariant feedback system synthesis are examined. It is argued that the philosophy and objectives associated with eigenvalue realization by state feedback, with or without observers, are highly naive and incomplete in the practical context of control systems. Furthermore, even the objectives undertaken have not really been attained by the state-variable techniques which have been developed. The extremely important factors of sensor noise and loop bandwidths are obscured by the state-variable formulation and have been ignored in the state-variable literature. The basic fundamental problem of sensitivity in the face of significant plant parameter uncertainty has hardly received any attention. Instead, the literature has concentrated primarily on differential sensitivity functions and even those results are so highly obscured in the state-variable formation as to lead to incorrect conclusions. In contrast, the important practical considerations and constraints have been clearly revealed and considered in the transfer function formulation. Differential sensitivity results are simple and transparent. For single input-output systems, there exists an exact design technique for achieving quantitative sensitivity specifications in the face of significant parameter uncertainty, which is optimum in an important practical sense. This problem is much more difficult and has not been completely solved for multivariable systems, but it has at least been realistically attacked by some transfer function methods. Finally, the concepts of controllability and observability so much emphasized in the state-variable literature are examined. It is argued that their importance in this problem class has been greatly exaggerated. On the one hand, transfer function methods can be used to check for their existence. On the other hand, nothing is lost when they are ignored, if the synthesis problem is treated as one with parameter uncertainty by transfer function methods. View full abstract»

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  • An upper bound on the product of eigenvalues of an optimal linear system

    Publication Year: 1975 , Page(s): 162 - 163
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    Explicit relations between the weighting factors of a quadratic performance criterion and the closed-loop system are developed. A best possible upper bound on the product of the eigenvalues of the closed-loop system is attained. View full abstract»

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  • Geometric interpretation of complex vectors arising in the frequency-domain analysis of multivariable systems

    Publication Year: 1975 , Page(s): 157 - 158
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    It is shown that an n -dimensional vector whose components are complex numbers can be visualized as a plane ellipse in geometric n -space. The length and direction of a complex vector are interpreted in terms of the ellipse axes thus giving a deeper insight into the eigenstructure of system transfer matrices. The system characteristic ellipse is introduced and its application to the measurement of characteristic loci is discussed. 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

Full Aims & Scope

Meet Our Editors

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