IEEE Transactions on Automatic Control

Issue 12 • Dec. 2001

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Displaying Results 1 - 25 of 38
  • Comments on "Output feedback stabilization for uncertain systems: constrained Riccati approach"

    Publication Year: 2001
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (58 KB) | HTML iconHTML

    For original paper, by Cheng, see ibid., vol.43, p.81-4 (1998). In that paper, a sufficient condition for the static output feedback stabilization of uncertain systems with mismatched uncertainties has been derived under the assumption that rank(B)/spl les/rank(C) where B and C are the input matrix and the output matrix respectively. In this note, we show that the sufficient condition of the origi... View full abstract»

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  • Comments on "Output feedback stabilization for uncertain systems: constrained Riccati approach"

    Publication Year: 2001
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (45 KB) | HTML iconHTML

    For original paper, by Cheng, see ibid., vol.43, p.81-4 (1998). In the above paper, the constrained Riccati problem (CRP) has been proposed to deal with mismatched uncertainty by extending the concept of the constrained Lyapunov problem. In this note, we show the solvability condition for the CRP only gives a solution for the class of square systems not for the nonsquare systems. View full abstract»

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  • Fixed interval smoothing for state-space models [Book Review]

    Publication Year: 2001, Page(s):2046 - 2047
    Cited by:  Papers (1)
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    Freely Available from IEEE
  • Author index

    Publication Year: 2001, Page(s):2049 - 2057
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    Freely Available from IEEE
  • Subject index

    Publication Year: 2001, Page(s):2057 - 2080
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    Freely Available from IEEE
  • Relaxed persistency of excitation for uniform asymptotic stability

    Publication Year: 2001, Page(s):1874 - 1886
    Cited by:  Papers (96)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (413 KB) | HTML iconHTML

    The persistency of excitation property is crucial for the stability analysis of parameter identification algorithms and adaptive control loops. We propose a relaxed definition of persistency of excitation and we use it to establish uniform global asymptotic stability (UGAS) for a large class of nonlinear, time-varying systems. Our relaxed definition is conceptually equivalent to the definition int... View full abstract»

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  • A matrix method for determining the imaginary axis eigenvalues of a delay system

    Publication Year: 2001, Page(s):2008 - 2012
    Cited by:  Papers (48)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (199 KB) | HTML iconHTML

    The author considers autonomous neutral or retarded matrix delay differential systems. The imaginary axis eigenvalues of such a system are shown to be contained in the set of generalized eigenvalues of an associated matrix pair. If the system is not a singular neutral system, one can replace generalized eigenvalues by the eigenvalues of a single matrix. We also show in both the neutral and retarde... View full abstract»

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  • Shape-based optimal estimation and design of curve evolution processes with application to plasma etching

    Publication Year: 2001, Page(s):1862 - 1873
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (303 KB) | HTML iconHTML

    Considers the problem of determining a finite number of discrete parameters appearing in a nonlinear partial differential equation describing a curve evolution process. The method is applied to the plasma etching of thin films for semiconductor manufacturing. Results are obtained within the mathematical framework of level set methods. Here, the evolution of the curve under study is captured throug... View full abstract»

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  • On the consistency between an LFT described model set and frequency domain data

    Publication Year: 2001, Page(s):2001 - 2007
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB) | HTML iconHTML

    The main objective of this technical note is to derive a simple necessary and sufficient condition for a linear fractional transformation (LFT) perturbed model set being consistent with frequency domain plant input-output data. Only discrete-time models and unstructured modeling errors are dealt with. Compared with the available results in which the eigenvalues of a matrix are involved, this condi... View full abstract»

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  • An approximation method for controlled discrete jump processes under partial observations

    Publication Year: 2001, Page(s):1850 - 1861
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (349 KB) | HTML iconHTML

    The paper is concerned with control and filtering of a discrete jump Markov process when only the total number of jumps is observed. A partially observable control problem is considered and equivalence between this problem and the separated one is proved. A technique to approximate the value function, under some suitable assumptions, is presented View full abstract»

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  • Speed control of electrical machines: unknown load torque case

    Publication Year: 2001, Page(s):1979 - 1983
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (160 KB) | HTML iconHTML

    The problem of specifying a desired torque trajectory to achieve speed tracking in passivity-based control of induction motors is addressed. This paper presents a solution to the problem that does not require an acceleration measurement nor knowledge of the load torque. To prove the main result a variant of Sontag's input to state stability is used View full abstract»

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  • Stability properties of equilibria of classes of cooperative systems

    Publication Year: 2001, Page(s):1996 - 2001
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB) | HTML iconHTML

    This note deals with the constant control problem for homogeneous cooperative and irreducible systems. These systems serve as models for positive systems. A necessary and sufficient condition for global asymptotic stability of the zero solution of this class of systems is known. Adding a constant control allows to shift the equilibrium point from zero to a point in the first orthant. We prove that... View full abstract»

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  • A case study for the open question: disturbance decoupling problem for singular systems by output feedback

    Publication Year: 2001, Page(s):1924 - 1930
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB) | HTML iconHTML

    We study the disturbance decoupling problem for singular systems Ex˙=Ax+Bu+Gd, y=Cx, z=Hx with left invertibility. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupling problem with or without stability by output feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved based on a co... View full abstract»

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  • New bounded real lemma representations for time-delay systems and their applications

    Publication Year: 2001, Page(s):1973 - 1979
    Cited by:  Papers (78)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (237 KB) | HTML iconHTML

    New delay-dependent/delay-independent bounded real criteria are derived for linear continuous-time systems with delay in the dynamics and in the objective function. A sufficient condition for the system to possess a H∞-norm that is less than a prescribed level, is given in terms of a linear matrix inequality (LMI). The proposed criteria are less conservative than other existing cr... View full abstract»

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  • Robust stabilization of large space structures via displacement feedback

    Publication Year: 2001, Page(s):1993 - 1996
    Cited by:  Papers (34)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (119 KB) | HTML iconHTML

    It has been known that static velocity and displacement feedback with collocated sensors and actuators can stabilize large space structures robustly against "any" uncertainty in mass, damping, and stiffness, independently of the number of flexible modes. The authors present dynamic displacement feedback which can achieve such robust stabilization. The proposed control law can be implemented in a d... View full abstract»

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  • Some adaptive control problems which convert to a "classical" problem in several complex variables

    Publication Year: 2001, Page(s):2038 - 2043
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (231 KB) | HTML iconHTML

    We discuss the equivalence of bi-H∞ control problems to certain problems of approximation and interpolation by analytic functions in several complex variables. In bi-H∞ control, the goal is to perform H∞ control design for a plant where part of it is known and a stable subsystem δ is not known, i.e. the response at "frequency" s is P(s, &de... View full abstract»

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  • H strong stabilization

    Publication Year: 2001, Page(s):1968 - 1972
    Cited by:  Papers (41)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (150 KB) | HTML iconHTML

    This note presents a technique for designing stable H∞ controllers. Similar to some methods in the existing literature, the proposed method also uses the parameterization of all suboptimal H ∞ controllers so that the stable H∞ design problem can be (conservatively) converted into another 2-block standard H∞ problem. However, a we... View full abstract»

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  • Banded matrix fraction representation of triangular input normal pairs

    Publication Year: 2001, Page(s):2018 - 2022
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB) | HTML iconHTML

    An input pair (A, B) is triangular input normal if and only if A is triangular and AA* + BB* = In, where In is the identity matrix. Input normal pairs generate an orthonormal basis for the impulse response. Every input pair may be transformed to a triangular input normal pair. A new system representation is given: (A, B) is triangular normal and A is a matrix fraction, A = M<... View full abstract»

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  • A general invariance principle for nonlinear time-varying systems and its applications

    Publication Year: 2001, Page(s):1989 - 1993
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (148 KB) | HTML iconHTML

    A general invariance principle, from the output-to-state point of view, is proposed for the dynamical analysis of nonlinear time-varying systems. This is achieved by the construction of a simple and intuitive criterion using integral inequality of the output function and modified detectability conditions. The proposed scheme can be viewed as an extension of the integral invariance principle (C.I. ... View full abstract»

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  • Stabilization and disturbance rejection for the beam equation

    Publication Year: 2001, Page(s):1913 - 1918
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (219 KB) | HTML iconHTML

    We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the disturban... View full abstract»

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  • Robust H control of distributed delay systems with application to combustion control

    Publication Year: 2001, Page(s):1930 - 1935
    Cited by:  Papers (146)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (198 KB) | HTML iconHTML

    The article is concerned with the H∞ analysis and synthesis of linear distributed delay systems. An efficient stability and L2-gain criterion is established. It is based on a recent approach to the analysis and design of linear time delay systems which represents the system in an equivalent descriptor form. The obtained criterion is used to derive an efficient state-fee... View full abstract»

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  • Nonlinear adaptive controller with integral action

    Publication Year: 2001, Page(s):2035 - 2037
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (98 KB) | HTML iconHTML

    This note reveals a new significant property of the adaptive controller design technique proposed by Krstic, Kanellakopoulos and Kokotovic (1994). Namely, it is shown that with the use of special plant model parametrization the standard backstepping design results in an adaptive controller with integral action. The latter means that the controller completely rejects constant input disturbances. It... View full abstract»

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  • Adaptive control of triangular systems with nonlinear parameterization

    Publication Year: 2001, Page(s):1963 - 1968
    Cited by:  Papers (30)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (214 KB) | HTML iconHTML

    The paper deals with adaptive control of uncertain nonlinear triangular systems whose uncertainty is characterized by nonlinear parameterization of unknown constant vectors. Robust adaptive control techniques are incorporated in the backstepping control design with flat zones to tackle the nonlinear parameterization together with a novel smooth projection algorithm for parameter estimation. The pr... View full abstract»

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  • Asymptotic variance expressions for estimated frequency functions

    Publication Year: 2001, Page(s):1887 - 1899
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB) | HTML iconHTML

    Expressions for the variance of an estimated frequency function are necessary for many issues in model validation and experiment design. A general result is that a simple expression for this variance can be obtained asymptotically as the model order tends to infinity. This expression shows that the variance is inversely proportional to the signal-to-noise ratio frequency by frequency. Still, for l... View full abstract»

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  • Sliding mode observer for nonlinear uncertain systems

    Publication Year: 2001, Page(s):2012 - 2017
    Cited by:  Papers (135)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (182 KB) | HTML iconHTML

    A new sliding mode observer for a class of nonlinear uncertain systems is proposed in this article. The proposed sliding mode observer works under much less conservative conditions than previous nonlinear unknown input observers. Also, a functional version of the observer is proposed in certain cases where it may not be possible to design an observer capable of estimating the entire state of the s... 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