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Automatic Control, IEEE Transactions on

Issue 4 • Date April 1990

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Displaying Results 1 - 25 of 28
  • Comments on "Relationships between internal and external stability for infinite-dimensional systems with application to a servo problem" [with reply]

    Publication Year: 1990
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (60 KB)  

    The author takes exception to two statements in the above referred paper (ibid., vol.33, p.1044-52, Nov. 1988). One is that servo systems for infinite-dimensional systems have only been studied in two papers; the commenter points out two more. The other comment regards exponential decay of the error in L/sup 2/ stability. The authors agree with the commenter's point and add some clarification.< View full abstract»

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  • Decomposition of a multivariate continuous system with pure integrations

    Publication Year: 1990 , Page(s): 479 - 481
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (208 KB)  

    An algorithm for extracting the integrating part of a linear multivariable continuous system is presented. It is shown that, in general, a continuous system can be additively decomposed as a subsystem with a nonsingular system matrix and a subsystem with a bank of pure integrators View full abstract»

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  • Further facts about input to state stabilization

    Publication Year: 1990 , Page(s): 473 - 476
    Cited by:  Papers (93)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (372 KB)  

    Previously published results about input to state stabilizability are shown to hold even for systems which are not linear in controls, provided that a more general type of feedback is allowed. Applications to certain stabilization problems and coprime factorizations, as well as comparisons to other results on input to state stability, are briefly discussed View full abstract»

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  • Some results on Petri net languages

    Publication Year: 1990 , Page(s): 482 - 485
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (376 KB)  

    Various classes of Petri net languages are compared. A constructive proof of the equivalence, from the point of view of descriptive power of general Petri nets and restricted Petri nets (no multiple arcs of self-loops are allowed in the latter class), is presented. The descriptive power of Petri nets versus that of finitely recursive processes is discussed View full abstract»

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  • Design of optimal output feedback compensators in two-time scale systems

    Publication Year: 1990 , Page(s): 488 - 492
    Cited by:  Papers (4)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (464 KB)  

    A formulation is presented for designing optimal output feedback compensators of fixed order for two-time scale-systems. The formulation uses an observer canonical form to represent the compensators dynamics. It precludes the use of direct feedback of the plant output and achieves spillover suppression. A case study involving the rapid pointing of a flexible robot arm is presented. The results dem... View full abstract»

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  • Simplifying H controller synthesis via classical feedback system structure

    Publication Year: 1990 , Page(s): 485 - 488
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (336 KB)  

    Substantial simplification of the H controller synthesis procedure in the case of open-loop stable plant and weight selection is shown to result from the use of a classical cascade controller feedback structure. In this case the solution to the second associated algebraic Riccati equation reduces identically to a null matrix 0n, and this part of the controller... View full abstract»

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  • Upper bounds for the eigenvalues of the solution of the discrete algebraic Lyapunov equation

    Publication Year: 1990 , Page(s): 468 - 469
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (148 KB)  

    Upper bounds for summations including the trace, and for products including the determinant, of the eigenvalues of the solution of the discrete algebraic Lyapunov equation (DALE) are presented. All bounds are derived from the matrix series solution of the DALE. The majority of the bounds are tighter than those in the literature View full abstract»

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  • On the analysis of discrete linear time-invariant singular systems

    Publication Year: 1990 , Page(s): 506 - 511
    Cited by:  Papers (11)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (460 KB)  

    The discrete singular equation over an interval can represent a two-point boundary-value problem or it can be considered as a dynamical relation developing forward in time. A theory is provided, by giving analytic solutions and discussing system properties in both cases, that encompasses both interpretations. The singular system fundamental matrix is used to provide analytic solutions to a time-in... View full abstract»

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  • A new approach for designing a reduced-order controller of linear singular systems

    Publication Year: 1990 , Page(s): 492 - 495
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (332 KB)  

    An approach for designing a multivariable reduced-order controller of a linear, time-invariant, singular system is presented. The approach is based on decomposing the original system into slow and fast subsystems using the Drazin inverse technique. The resulting subsystems are then used to obtain an observer of reduced order. This, in turn, it used in designing a new reduced-order controller which... View full abstract»

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  • A new optimal multirate control of linear periodic and time-invariant systems

    Publication Year: 1990 , Page(s): 406 - 415
    Cited by:  Papers (47)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (816 KB)  

    The optimal multirate design of linear, continuous-time, periodic and time-invariant systems is considered. It is based on solving the continuous linear quadratic regulation (LQR) problem with the control being constrained to a certain piecewise constant feedback. Necessary and sufficient conditions for the asymptotic stability of the resulting closed-loop system are given. An explicit multirate f... View full abstract»

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  • Estimation of sliding mode domains of uncertain variable structure systems with bounded controllers

    Publication Year: 1990 , Page(s): 446 - 449
    Cited by:  Papers (11)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (292 KB)  

    The problem of estimating regions of asymptotic stability (RAS) of uncertain dynamical systems with bounded controllers and the sliding model requirement is discussed. The notion of combining different Lyapunov functions is utilized. Different Lyapunov functions are found, and for each Lyapunov function an estimate of the RAS is found. Different regions are combined in order to find an improved RA... View full abstract»

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  • Optimal Hankel model reduction for nonminimal systems

    Publication Year: 1990 , Page(s): 496 - 502
    Cited by:  Papers (20)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (432 KB)  

    A basis-free descriptor system representation is shown to facilitate the computation of all minimum-degree and optimal kth-order all-pass extensions and Hankel-norm approximants. The descriptor representation has the same simple form for both the optimal and suboptimal cases. The method makes Hankel model reduction practical for nonminimal and nearly nonminimal systems by eliminating the ... View full abstract»

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  • Bounds on performance for multiple target tracking

    Publication Year: 1990 , Page(s): 443 - 446
    Cited by:  Papers (14)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (416 KB)  

    A theoretical lower bound on mean-square-estimation error is derived for tracking in dense multiple-target environments. This family of bounds is computationally tractable, because it does not require computing the optimal estimate. Computational complexity can be traded for tightness of the lower bounds by varying the number of hypotheses considered. The theory can be used to study the fundamenta... View full abstract»

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  • Gramian assignment based on the Lyapunov equation

    Publication Year: 1990 , Page(s): 465 - 468
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (328 KB)  

    A theorem on the assignability of the controllability Gramian using state feedback is presented. The approach is based on the Lyapunov equation. Specifically, it shows that the set of Gramian matrices which are assignable using state feedback lies in a vector space and is precisely the intersection of that vector space with the set of positive definite matrices. The results show that it may be pos... View full abstract»

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  • Damping margins of interval polynomials

    Publication Year: 1990 , Page(s): 477 - 479
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (312 KB)  

    The zero locations of interval polynomials are examined. In particular, it is shown that a family of interval polynomials will have zeros only in the left sector if the real and imaginary parts of four specially constructed complex polynomials have an interlacing real zero property. This is significant for the analysis of uncertain systems, as the computation cost associated with checking the zero... View full abstract»

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  • The minimal dimension of stable faces required to guarantee stability of a matrix polytope: D-stability

    Publication Year: 1990 , Page(s): 469 - 473
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (416 KB)  

    The problem of determining whether a polytope P of n ×n matrices is D-stable-i.e. whether each point in P has all its eigenvalues in a given nonempty, open, convex, conjugate-symmetric subset D of the complex plane-is discussed. An approach which checks the D-stability of certain faces of P is used. In particular, for ea... View full abstract»

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  • Convergence of adaptive control schemes using least-squares parameter estimates

    Publication Year: 1990 , Page(s): 416 - 424
    Cited by:  Papers (32)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (736 KB)  

    The stability, convergence, asymptotic optimality, and self-tuning properties of stochastic adaptive control schemes based on least-squares estimates of the unknown parameters are examined. It is assumed that the additive noise is i.i.d. and Gaussian, and that the true system is of minimum phase. The Bayesian embedding technique is used to show that the recursive least-squares parameter estimates ... View full abstract»

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  • The infimal closed controllable superlanguage and its application in supervisory control

    Publication Year: 1990 , Page(s): 398 - 405
    Cited by:  Papers (31)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (696 KB)  

    The supervisory control of discrete-event systems is investigated for the case in which nonblocking solutions are deemed inadequate because they are too conservative. For this purpose the infimal closed controllable superlanguage of a given language is studied. Two characterizations of the superlanguage are given, some of its properties are presented, and algorithms for its computation in the gene... View full abstract»

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  • A framework for real-time discrete event control

    Publication Year: 1990 , Page(s): 386 - 397
    Cited by:  Papers (63)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1228 KB)  

    The TTM/RTTL (timed transition model with real-time temporal logic) framework is presented for modeling, specifying, and analyzing real-time discrete-event systems. TTMs are used to represent the process of the plant and its controller. RTTL is the assertion language for specifying plant behavior and verifying that a controller satisfies the specification. The framework adapts features from the pr... View full abstract»

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  • Tracking algorithm designed by the local asymptotic approach

    Publication Year: 1990 , Page(s): 440 - 443
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (364 KB)  

    The problem of sequential detection of parameter jumps in linear systems with constant noise level is discussed. The detection problem is analyzed by the asymptotic local approach, using the normalized output error sequence as the detection signal. For linear regression, ARMAX, and state-space models, a central limit theorem is proved, transforming the original problem into the problem of detectin... View full abstract»

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  • Hidden modes of two degrees of freedom systems in control design

    Publication Year: 1990 , Page(s): 502 - 506
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (536 KB)  

    A complete treatment of the hidden modes of two-degrees-of-freedom control systems is presented. The uncontrollable and/or unobservable hidden models are characterized in terms of transfer matrices of the interconnected system and in terms of design parameters. This characterization leads directly to design conditions, which can be used to adequately control the hidden modes, thus avoiding unneces... View full abstract»

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  • Optimal intensity control of a queueing system with state-dependent capacity limit

    Publication Year: 1990 , Page(s): 459 - 464
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (460 KB)  

    A general single-state queueing system, in which the input and output processes are modeled as point processes with stochastic intensities, is studied. The problem is to control both the input and the output intensities, subject to some state-dependent capacity limits, and the objective is to maximize a discounted value function. With reasonable assumptions on the capacity limits, it is shown that... View full abstract»

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  • A new class of shift-varying operators, their shift-invariant equivalents, and multirate digital systems

    Publication Year: 1990 , Page(s): 429 - 433
    Cited by:  Papers (30)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (352 KB)  

    A class of linear, shift-varying operators that generalize the notion of N-periodicity is defined. It is shown that shift-invariant equivalents for these operators exist, and that the equivalence is in a strong sense, preserving both algebraic and analytic system properties. It is shown that multirate sampled-data systems, although not generally periodic, fall into this class. Kranc vecto... View full abstract»

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  • Shape control in Sendzimir mills using both crown and intermediate roll actuators

    Publication Year: 1990 , Page(s): 453 - 459
    Cited by:  Papers (4)  |  Patents (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (548 KB)  

    A control philosophy utilizing both the As-U-Rolls and first intermediate rolls as shape control mechanisms is described. A robustness result for the design is developed. The result is useful, because such a mill is normally used to roll a large number of materials, and a single controller must therefore be used for many different schedules. A variety of simulation results are presented, showing t... View full abstract»

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  • Constructing Riccati differential equations with known analytic solutions for numerical experiments

    Publication Year: 1990 , Page(s): 437 - 439
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (172 KB)  

    Three examples of symmetric and nonsymmetric Riccati differential equations (RDEs) whose analytic solutions are known and whose sizes are variable and can be large are presented. The eigenvalues and eigenvectors of the Riccati solutions in some of the examples are also given. The numerical examples have proved to be useful for testing the accuracy and efficiency of algorithms for solving large-sca... 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