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Automatic Control, IEEE Transactions on

Issue 10 • Date Oct 1992

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Displaying Results 1 - 25 of 45
  • On stabilizability and sampling for infinite dimensional systems

    Publication Year: 1992 , Page(s): 1653 - 1656
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (436 KB)  

    Some questions, either motivated by or related to time sampling, regarding the stabilizability of infinite-dimensional or distributed parameter systems are considered. In particular, these include the characteristics of those systems which are finite rank stabilizable, and the preservation of stabilizability under sampling. A pathological class of systems, which, when sampled, may be rendered unstabilizable by arbitrarily small perturbations in the sampling rate, is identified. The approach taken in establishing these results is based upon a spectral decomposition of the infinitesimal generator of the underlying open-loop semigroup. The results obtained apply to control systems with dynamics described by broad classes of partial and functional differential equations that arise frequently in applications View full abstract»

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  • A microcomputer implementation of multivariable factorization theory

    Publication Year: 1992 , Page(s): 1631 - 1634
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (300 KB)  

    Factorization theory forms the basis of a powerful new method for the design of linear control systems. Techniques which simplify the implementation of this approach are examined: in particular, it is shown that under certain conditions, the multivariable design problem may be divided into a number of smaller independent subproblems. A microcomputer design system employing these techniques has been used to solve substantial multivariable design problems View full abstract»

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  • Upper and lower bounds of Gramian for a class of perturbed linear systems

    Publication Year: 1992 , Page(s): 1659 - 1661
    Cited by:  Papers (1)
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    A bound on the system Gramian under perturbations of an A-matrix in the state space representation is derived. For a class of perturbations, both upper and lower bounds are obtained by solving algebraic Riccati equations View full abstract»

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  • Sensor failure estimators for detection filters

    Publication Year: 1992 , Page(s): 1553 - 1558
    Cited by:  Papers (11)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (592 KB)  

    The processing of (detection filter residuals) in order to detect and identify sensor failures is considered. Simple projection techniques are shown to be inefficient, so a single sensor failure-tracking estimator is derived. This estimation filter uses the planar nature of the detection filter residuals resulting from a sensor failure to improve the performance of both the detection and identification of failures. The performance improvement is illustrated using data from a simplified model of a turbofan engine View full abstract»

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  • Local controllability, reachability, and reconstructability of the general singular model of 2D systems

    Publication Year: 1992 , Page(s): 1527 - 1530
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (324 KB)  

    Necessary and sufficient conditions for the local controllability, reachability, and reconstructability of the general singular model of 2D linear systems are established View full abstract»

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  • Computing an optimum direction in control space to avoid stable node bifurcation and voltage collapse in electric power systems

    Publication Year: 1992 , Page(s): 1616 - 1620
    Cited by:  Papers (64)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (504 KB)  

    Given a load power forecast, the sensitivity with respect to controls of a load power margin measuring proximity to voltage collapse is computed. The computation is simple enough to contribute to the practical planning and control of a power system to avoid voltage collapse blackouts. The computation applies to avoiding saddle node bifurcation instability of a general dynamical system View full abstract»

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  • Note on `distributed scheduling based on due dates and buffer priorities' by S.H. Lu and P.R. Kumar

    Publication Year: 1992 , Page(s): 1661 - 1662
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (156 KB)  

    In the above-titled paper by Lu and Kumar (ibid., vol.36. no.12, pp.1406-1416, Dec 91), the issue of stability of a scheduling policy for a system with reentrant structure is studied. It has been shown that whenever the arrival rate, allowing for some burstiness, is less than the system capacity, the following four scheduling policies are stable: first buffer first serve, last buffer first serve, earliest due date, and least slack policies. To verify that the problem is not trivial, a counterexample of instability, yet satisfying the usual stability condition, is provided. However, the counter-example calls for zero processing times. It is shown that counter-examples with nonzero processing times do exist, and understanding of the stability issue of general discrete-event dynamic systems is promoted View full abstract»

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  • Control of linear discrete-time periodic systems: a decentralized control approach

    Publication Year: 1992 , Page(s): 1644 - 1648
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (440 KB)  

    A decentralized control technique is applied to the problem of periodic output feedback, stabilization or pole-assignment for a periodically time-varying discrete-time system. It is shown that the problem can be reduced to that of stabilizing or pole-assigning a general proper multichannel system by static output feedback on the basis of the equivalence between periodic systems and a class of linear time-invariant systems. The notion of periodic fixed mode is introduced for a periodic system similar to the notion of uncontrollable or unobservable modes. In terms of this notion, both necessary conditions and sufficient conditions for the solvability of the problem are obtained View full abstract»

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  • Extensions and generalizations of smoothed perturbation analysis in a generalized semi-Markov process framework

    Publication Year: 1992 , Page(s): 1483 - 1500
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1436 KB)  

    Under a very general framework, both in terms of finite-time performance measures and system structure, the authors derive smoothed perturbation analysis (SPA) estimators and prove their unbiasedness. The commuting condition, which has been key in previous work, is not required a priori, and thus the framework includes such systems as the GI/G/1/K queue and multiclass queueing networks, which do not satisfy the commuting condition. The generality achieved is traded off against the fact that the estimator is not always easily implementable on a single sample path. The use of the commuting condition in a local sense is proposed to help simplify the estimators derived: queueing and multiclass queueing networks are used as illustrative examples. For a simple multiclass closed queueing network, some simulation results are provided. When the commuting condition is satisfied globally, the framework allows the recovery of previous results on IPA and SPA estimators as corollaries of the main theorems View full abstract»

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  • An improved covariance assignment theory for discrete systems

    Publication Year: 1992 , Page(s): 1588 - 1591
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (292 KB)  

    For discrete systems, the set of all state covariances X which can be assigned to the closed-loop system via a dynamic controller is characterized explicitly. For any assignable state covariance X , the set of all controllers that assign this X to the closed-loop system is parameterized with an arbitrary orthonormal matrix U of proper dimension View full abstract»

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  • Relative zero location for second-order sampled systems

    Publication Year: 1992 , Page(s): 1551 - 1552
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (752 KB)  

    It is shown that the pole-zero configuration of relevant families of second-order continuous-time transfer functions is preserved after sampling. The results are valid for any sampling period and give tighter bounds for the location of the sample zero than those reported in earlier literature. These results complement the analysis made by T. Soderstrom (ibid., vol.35, p.1249-53, 1990) on the zero location of second-order sampled systems View full abstract»

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  • Robust stability of multivariable systems with both real parametric and norm bounded uncertainties

    Publication Year: 1992 , Page(s): 1533 - 1537
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (376 KB)  

    The robust stability of a multivariable system with both structured real parametric and unstructured norm bounded uncertainties is considered. It is shown that if the real parametric uncertainty enters only linearly and independently into the numerator matrix and the denominator characteristic polynomial, then the robust stability (or stability margin) can be tested (or calculated) exactly. It is also shown that this in fact gives a way to compute a class of real structured singular values View full abstract»

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  • Root clustering for convex combination of complex polynomials

    Publication Year: 1992 , Page(s): 1520 - 1522
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (308 KB)  

    In some important applications, such as the edge-theorem, it is required that a polynomial is α-stable along a parameter segment. Using the critical constraint, the necessary and sufficient conditions for root clustering (α-stability) of convex combinations of complex polynomials are presented. The approach is general and requires that a certain real polynomial has no zeros in the open interval (0,1) View full abstract»

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  • Optimal L bounds for disturbance robustness

    Publication Year: 1992 , Page(s): 1568 - 1572
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (348 KB)  

    Robust disturbance rejection bounds obtained recently by Zhu et al. are tight with respect to the disturbance set that has a specified L2 norm bound. It is shown that the bounds are also tight with respect to a weighted L2 disturbance set that has a specified bound on its outer product by choosing a special weight matrix in the L2 norm. The matrix can computed by numerical iteration View full abstract»

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  • Polynomial solution of 2D Kalman-Bucy filtering problem

    Publication Year: 1992 , Page(s): 1530 - 1533
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (336 KB)  

    The 2D version of the Kalman-Bucy filtering problem is formulated and then solved via 2D polynomial methods. The optimal filter is restricted to be a linear causal system. The design procedure is shown to consist of one 2D spectral factorization equation only. In fact, it works for n-D signals (n>2) as well View full abstract»

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  • Kalman decomposition for implicit linear systems

    Publication Year: 1992 , Page(s): 1509 - 1514
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (620 KB)  

    The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the properties of its subsystems obtained via the Kalman decomposition. The problems of transfer relation, regularizability by feedback, output feedback, and output injection are studied by means of this decomposition View full abstract»

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  • Variable structure control using system decomposition

    Publication Year: 1992 , Page(s): 1514 - 1517
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (300 KB)  

    An approach to the design of large variable structure systems subject to control bounds is introduced. The method includes a switching hyperplane design based on generalized inverses and system decomposition. To ensure reaching the hyperplane and achieving a sliding condition, the control is switched between local equivalent control and bounded corrective control. The design of the corrective control component is completed using system decomposition into smaller subsystems. An estimate of the domain of attraction corresponding to the bounded control is obtained and used to select the appropriate controller bounds. The method is illustrated using a fifth-order numerical example View full abstract»

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  • Elimination of frequency search from robustness tests

    Publication Year: 1992 , Page(s): 1635 - 1640
    Cited by:  Papers (9)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (440 KB)  

    An example is given which demonstrates that the multivariable stability margin can be a discontinuous function of frequency. A method which checks for robustness without a frequency search and thus alleviates the associated difficulties is proposed. It is shown that robustness can be verified by solving only one multivariable stability margin problem, readily constructed from a state-space realization of the given plant View full abstract»

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  • Adaptive hybrid force-position control for redundant manipulators

    Publication Year: 1992 , Page(s): 1501 - 1505
    Cited by:  Papers (18)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (412 KB)  

    An adaptive control scheme for manipulators with redundant degrees of freedom is presented. The control purpose is to achieve a desired interaction force between the end-effector and the environment as well as to regulate the robot tip position in the Cartesian space. This control approach does not require measurement of the joint acceleration or the force derivative View full abstract»

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  • Conditions for stable zeros of sampled systems

    Publication Year: 1992 , Page(s): 1558 - 1561
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (292 KB)  

    A criterion for there being no unstable discrete zeros is derived in terms of coefficients of a continuous-time transfer function and of a sampling period when a continuous-time, stable, and strictly proper plant is sampled. It is also shown that the shortest sampling period ensuring minimum-phase behavior can be calculated from a simple equation View full abstract»

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  • Robust discrete controllers guaranteeing l2 and l performances

    Publication Year: 1992 , Page(s): 1620 - 1625
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (504 KB)  

    An algorithm is given for designing discrete-time controllers which are robust with respect to parameter variations and which also guarantee specified l2 performance constraints for stochastic inputs and l performance constraints for deterministic inputs. This is not an analysis but a design method guaranteeing the specified robust performances. Also an upper bound on the covariance matrix is provided View full abstract»

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  • Robust sampled-data control

    Publication Year: 1992 , Page(s): 1591 - 1597
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (544 KB)  

    Robust stabilization of a class of linear systems using sampled-data feedback control is studied. It is shown that a linear, time-invariant system subject to additive perturbations can be stabilized using high-gain periodic feedback from sampled values of the state, provided that the perturbations satisfy certain structural conditions. This result is also extended to decentralized sampled-data control of interconnected systems View full abstract»

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  • Control of discrete-time hybrid stochastic systems

    Publication Year: 1992 , Page(s): 1522 - 1527
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (492 KB)  

    A realistic stochastic control problem for hybrid systems with Markovian jump parameters can have switching parameters in both the state and the measurement equations. Furthermore, both the `base' and jump states, in general, are not perfectly observed. There are only two existing controllers for this problem, both with complexity exponentially increasing with time. The authors present another control algorithm for stochastic systems with Markovian jump parameters. This algorithm is derived through the use of stochastic dynamic programming and is designed to be used for realistic stochastic control problems, i.e., with noisy state observations. This scheme has fixed computational requirements at each stage and a natural parallel implementation. Simulation results are used to compare the algorithm with previous schemes View full abstract»

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  • Parameterization of decoupling controllers in the unity-feedback system

    Publication Year: 1992 , Page(s): 1572 - 1576
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (444 KB)  

    The problem of decoupling in the linear, time invariant, multiinput-multioutput unity-feedback system is studied. A parameterization of all stabilizing decoupling controllers and all achievable decoupled closed-loop transfer functions is obtained for full-row rank plants which do not have any coinciding poles and zeros in the undesirable region of the complex plane View full abstract»

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  • Vibrational control of linear time lag systems with arbitrarily large but bounded delays

    Publication Year: 1992 , Page(s): 1576 - 1582
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (528 KB)  

    It is shown that vibrational stabilization can be effective for linear systems with large bounded delays. Theorems are given that define the procedures for the search of the stabilizing vibrations. Robust oscillatory stabilization insensitive to the delay size is also shown to take place for some classes of systems View full abstract»

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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