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IEEE Transactions on Automatic Control

Issue 7 • Date Jul 1989

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Displaying Results 1 - 25 of 26
  • Robust stability and performance analysis for linear dynamic systems

    Publication Year: 1989, Page(s):751 - 758
    Cited by:  Papers (38)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (608 KB)

    In a recent paper K. Zhou and P.P. Khargonekar (ibid., vol.AC-32, pp.621-623, 1987) obtained sufficient conditions for robust stability over specified sets of matrix perturbations. These results are here extended to include performance bounds. Performance is defined as the worst-case expected value of a quadratic functional involving the state variables when the system is subjected to white noise ... View full abstract»

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  • Generalized Schur methods with condition estimators for solving the generalized Sylvester equation

    Publication Year: 1989, Page(s):745 - 751
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (656 KB)

    Stable algorithms are presented for solving the generalized Sylvester equation. They are based on orthogonal equivalence transformations of the original problem. Perturbation theory and rounding error analysis are included. Condition estimators (dif -1-estimators) are developed which when substituted into derived error bounds give accuracy estimates of a computed solution. Resu... View full abstract»

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  • An adaptive dual controller for a MIMO-ARMA system

    Publication Year: 1989, Page(s):795 - 800
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (416 KB)

    An adaptive dual controller is presented for a multiinput multioutput (MIMO) autoregressive moving average (ARMA) system. The plant has constant but unknown parameters. The cautious controller with a one-step horizon and a new dual controller with a two-step horizon are examined. In many instances, the myopic cautious controller is seen to turn off and converges very slowly. The dual control modif... View full abstract»

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  • Generalized proper inverse of polynomial matrices and the existence of infinite decoupling zeros

    Publication Year: 1989, Page(s):743 - 745
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB)

    A necessary and sufficient condition is presented for the existence of a generalized proper rational inverse for nonsquare polynomial matrices. The condition is then proved to be equivalent to the absence of infinite decoupling zeros. This condition provides a simple test for the absence of infinite decoupling zeros in the polynomial fraction form. It can also be used to remove the infinite decoup... View full abstract»

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  • An algorithm for multirate sampling adaptive control

    Publication Year: 1989, Page(s):792 - 795
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    A stable multirate sampling adaptive control algorithm is presented which enables the fast sampling rate to be applied in closed-loop feedback control. The sampling rate is only restricted by the time needed for the control law computation (as in the nonadaptive control case) plus the estimation error computation. The plant input and output are recorded prior to the currently obtained estimate and... View full abstract»

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  • Feedback linearizing control of vehicle longitudinal acceleration

    Publication Year: 1989, Page(s):689 - 698
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (772 KB)

    The application of recently developed feedback linearization techniques to controlling the powertrain of an automobile is discussed. The objective of powertrain control is to regulate the output torque of the engine and transmission system to achieve a desired longitudinal acceleration of the vehicle. With higher model order and increasing system complexity, the design process for feedback lineari... View full abstract»

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  • On minimum-fuel control of affine nonlinear systems

    Publication Year: 1989, Page(s):767 - 770
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (332 KB)

    The minimum-fuel control problem is investigated for a class of multiinput affine nonlinear systems whose associated Lie algebra is nilpotent. After preliminary notions and definitions are presented, emphasis is on the solution to the optimal control problem of the Lie algebra generated by certain system vector fields is nilpotent. Consequences of the maximum principle are deduced for such systems View full abstract»

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  • The optimal reduced-order estimator for systems with singular measurement noise

    Publication Year: 1989, Page(s):777 - 781
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (104 KB)

    The optimal reduced-order estimator is completely characterized by necessary conditions, resulting from the optimal projection equations. The solution consists of one Riccati equation and two Lyapunov equations coupled by two projections. Explicit expressions for all of the estimator parameters are given. The relation between the reduced-order singular estimator and the full-order optimal singular... View full abstract»

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  • Fast iterative computation of optimal two-block H-norm

    Publication Year: 1989, Page(s):738 - 743
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (488 KB)

    The two-block H optimization problem is discussed, in which the most computationally demanding work is the computation of the optimal H norm denoted by γ0. The problem of computing γ0 can be considered as that of finding a γ such that μ(γ) is equal to 1. Some new properties of μ(γ) are r... View full abstract»

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  • Cumulant based identification of multichannel moving-average models

    Publication Year: 1989, Page(s):783 - 787
    Cited by:  Papers (52)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (428 KB)

    Given cumulants of a stationary, perhaps noisy, non-Gaussian r -variate moving average, MA(q) process, identifiability conditions are studied, under which the MA coefficient matrices, the input statistics, and the order q can be uniquely determined. The selection of a unique representative from the equivalence class corresponding to a given cumulant structure involves fe... View full abstract»

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  • A critique of several failure detection approaches for navigation systems

    Publication Year: 1989, Page(s):791 - 792
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (220 KB)

    Additional references relating to the work of J.E. White and J.L. Speyer (ibid., vol.AC-32, p.593-603, July 1987) are reported and commented on. White and Speyer discussed predecessor studies that dealt with failure detection in navigation applications described by stochastic time-invariant linear system with additive Gaussian white process and measurement noises being present, and sought to use K... View full abstract»

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  • Parameter space methods for robust control design: a guided tour

    Publication Year: 1989, Page(s):674 - 688
    Cited by:  Papers (178)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1444 KB)

    The results obtained in studies of robust stability and stabilizability of control systems with parametric (structured) uncertainties are reviewed. Both the algebraic methods based upon characteristic equations and the methods using Lyapunov functions and Riccati equations are discussed and compared. In the context of algebraic methods, most promising are the Kharitonov-type approach and the optim... View full abstract»

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  • On manipulator control by exact linearization

    Publication Year: 1989, Page(s):763 - 767
    Cited by:  Papers (30)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (528 KB)

    Comments on the application to rigid link manipulators of geometric control theory, resolved acceleration control, operational space control, and nonlinear decoupling theory are given, and the essential unity of these techniques for externally linearizing and decoupling end effector dynamics is discussed. Exploiting the fact that the mass matrix of a rigid link manipulator is positive definite, an... View full abstract»

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  • Optimal scheduling with strict deadlines

    Publication Year: 1989, Page(s):721 - 728
    Cited by:  Papers (49)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (884 KB)

    The problem of dynamic scheduling of customers (messages) in time-critical environments is discussed. A single station (communication node) is considered, and it is assumed that each customer (message) must begin service (transmission) by an individually varying extinction time or else it is lost. Interest is in minimizing, in the sense of stochastic order, the number of messages lost over any tim... View full abstract»

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  • An observer for time lag systems

    Publication Year: 1989, Page(s):775 - 777
    Cited by:  Papers (41)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (276 KB)

    A full state vector observer is derived for a class of linear differential state delayed control systems. The approach dualizes a feedback stabilization theory based on the reducing transformation technique. A major feature of the approach is that the observer, or the combined controller/observer, can be designed by well-known finite-dimensional state vector methods once the set of unstable and po... View full abstract»

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  • The explicit structure of inner matrices and its application in H-optimization

    Publication Year: 1989, Page(s):734 - 738
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (364 KB)

    An expression for inner matrices is obtained which allows a detailed investigation of their structure. The expression is used to solve the H-interpolation problem in a simple way. A solution to this problem is obtained explicitly in terms of interpolation parameters without solving any equation. It is found that the resulting solution encounters a reduction in its order ... View full abstract»

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  • Robustness of pole-assignment in a specified region

    Publication Year: 1989, Page(s):758 - 760
    Cited by:  Papers (29)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB)

    An analysis of pole-assignment is given for systems under linear time-invariant perturbations. Based upon the Lyapunov approach, new techniques to calculate allowable element bounds for highly structured perturbations are presented. Under these allowable perturbations both stability robustness and a certain performance robustness are thus ensured. Examples are given to illustrate the proposed meth... View full abstract»

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  • An M-matrix and majorant approach to robust stability and performance analysis for systems with structured uncertainty

    Publication Year: 1989, Page(s):699 - 710
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (828 KB)

    Uncertain multiinput multioutput systems described in the frequency domain are discussed. The theory of nonnegative matrices and M-matrices is used along with majorant bounding techniques to develop robust stability and performance results for two types of uncertainty. The first type is uncertainty with norm-bounded subblocks. The second type is uncertainty that has subblocks with known p... View full abstract»

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  • Optimal control via Fourier series of operational matrix of integration

    Publication Year: 1989, Page(s):770 - 773
    Cited by:  Papers (5)  |  Patents (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (268 KB)

    The state equations of an optimal regulator problem are given in terms of the truncated Fourier series and the associated operational matrix of integration. An effective computational algorithm is developed to calculate the expansion coefficients of the derivatives of state variables for saving computer storage and time and minimizing the computational error. An illustrative example is given, and ... View full abstract»

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  • Nonlinear filtering for discrete-time linear systems with non-Gaussian initial data

    Publication Year: 1989, Page(s):781 - 783
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB)

    The optimal minimum mean-square error filtering problem is discussed for a linear system with non-Gaussian initial distribution. An input/output realization is derived using an absolutely continuous change of probability measure. A representation result is presented which facilitates the derivation of optimal filter realization View full abstract»

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  • Adaptive control of a class of multivariable nonlinear systems and convergence analysis

    Publication Year: 1989, Page(s):787 - 791
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    Adaptive control is discussed of a class of multivariable nonlinear systems which can be characterized by a stochastic multivariable Hammerstein model whose linear part possesses an arbitrary interactor matrix. A simple suboptimal control law is derived which provides an efficient way to control a multivariable Hammerstein model whose linear part is not necessarily minimum phase. A direct adaption... View full abstract»

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  • A Schur method for balanced-truncation model reduction

    Publication Year: 1989, Page(s):729 - 733
    Cited by:  Papers (267)  |  Patents (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    It is shown that a not-necessarily-balanced state-space realization of the Moore reduced model can be computed directly without balancing via projections defined in terms of arbitrary bases for the left and right eigenspaces associated with the large eigenvalues of the product PQ of the reachability and controllability Grammians. Two specific methods for computing these bases are proposed... View full abstract»

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  • A performance limit for a finite-settling-time system using a look-ahead control

    Publication Year: 1989, Page(s):760 - 763
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (348 KB)

    A performance limit is presented for a system designed to have finite-settling-time while using look-ahead control, under the design requirement that sampled output track both step inputs and ramp inputs with zero error in finite time. This performance limit clarifies the relationship between the least amount of overshoot attainable, the settling-time, the look-ahead horizon, and the time delay of... View full abstract»

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  • Convex analysis and global optimization of joint actuator location and control problems

    Publication Year: 1989, Page(s):711 - 720
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (796 KB)

    It is shown that the optimal value of the continuous-time linear-quadratic problem regarded as a function of the system model and index parameters exhibits properties (convexity, concavity, and monoticity) specially suitable for optimization purposes. Based on this fact, a procedure for the global solution determination of eventually nonconvex problems, involving the above-mentioned function, is p... View full abstract»

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  • Algorithm for deadbeat tracking

    Publication Year: 1989, Page(s):773 - 775
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB)

    A deadbeat control algorithm is presented for autoregressive process models with unknown parameters. The control signal defined by the deadbeat tracking algorithm depends only on the reference input and output error time sequences. This serves to simplify the process parameter identification task, which then can be delegated to the background of the algorithm 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