Residual Set

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The Experts below are selected from a list of 321 Experts worldwide ranked by ideXlab platform

Ramon R Costa - One of the best experts on this subject based on the ideXlab platform.

  • a variable structure model reference robust control without a prior knowledge of high frequency gain sign
    Automatica, 2008
    Co-Authors: Ramon R Costa, Fernando Lizarralde
    Abstract:

    The design of a variable structure model reference robust control without a prior knowledge of high frequency gain sign is presented. Based on an appropriate monitoring function, a switching scheme for some control signals is proposed. It is shown that after a finite number of switching, the tracking error converges to zero at least exponentially for plants with relative degree one or converges exponentially to a small Residual Set for plants with higher relative degree, and the input disturbance can be completely rejected without affecting the tracking performance.

  • Unmodeled dynamics in adaptive control systems revisited
    Systems & Control Letters, 1991
    Co-Authors: Ramon R Costa, Liu Hsu
    Abstract:

    An alternative approach to analyze the robustness of adaptive systems with respect to unmodeled dynamics and external disturbances is presented. This approach shows that certain restrictive assumptions needed earlier can in fact be discarded. It also shows that an adaptation algorithm based on a time-varying σ-factor, equivalent to a constant σ-factor together with projection, can provide a globally asymptotically stable system with respect to a compact Residual Set, under mild requirements

Zhiqiang Zheng - One of the best experts on this subject based on the ideXlab platform.

  • Robust adaptive sliding mode control for uncertain nonlinear MIMO system with guaranteed steady state tracking error bounds
    Journal of the Franklin Institute, 2016
    Co-Authors: Zhiqiang Zheng
    Abstract:

    Abstract In this paper, a robust adaptive sliding mode controller is proposed for a class of uncertain nonlinear multi-input multi-output (MIMO) systems. The upper bounds of the uncertainties are not needed in the procedure of the controller design, and the controller is continuous, which guarantees that the tracking error can converge to a small Residual Set. Furthermore, explicit formulas are given that allow for calculating the size of the Residual Set, and the bounds of the tracking errors at steady state can be specified a priori and guaranteed by choosing certain design parameters. Finally, a simulation study based on a two-link rigid robotic manipulator model is used to illustrate the effectiveness of the proposed controller.

Fernando Lizarralde - One of the best experts on this subject based on the ideXlab platform.

Cheng Peng - One of the best experts on this subject based on the ideXlab platform.

  • A model reference robust control with unknown high‐frequency gain sign
    International Journal of Robust and Nonlinear Control, 2009
    Co-Authors: Jiang Xu, Cheng Peng
    Abstract:

    In this paper, we discuss the model reference robust control (MRRC) for plants with unknown high-frequency gain sign. Based on an appropriate monitoring function, a switching scheme is proposed so that after a finite number of switching, for plants with relative degree one, the tracking error converges to zero exponentially, while for plants with relative degree greater than one, it converges exponentially to a Residual Set that can be made arbitrarily small by properly choosing some design parameters. Copyright © 2009 John Wiley & Sons, Ltd.

Jiang Xu - One of the best experts on this subject based on the ideXlab platform.

  • A Model Reference Robust Control with Unknown High Frequency Gain Sign : General Case
    IFAC Proceedings Volumes, 2016
    Co-Authors: Jiang Xu
    Abstract:

    Abstract In this paper, we discuss the model reference robust control (MRRC) for plants with relative degree greater than one and without the knowledge of high frequency gain sign. Based on an appropriate monitoring function, a switching scheme is proposed so that after a finite number of switching, the tracking error converges to a Residual Set that can be made arbitrarily small by properly choosing some design parameters. Furthermore, if some initial states of the closed-loop system are zero, we show that at most one switching is needed.

  • A model reference robust control with unknown high‐frequency gain sign
    International Journal of Robust and Nonlinear Control, 2009
    Co-Authors: Jiang Xu, Cheng Peng
    Abstract:

    In this paper, we discuss the model reference robust control (MRRC) for plants with unknown high-frequency gain sign. Based on an appropriate monitoring function, a switching scheme is proposed so that after a finite number of switching, for plants with relative degree one, the tracking error converges to zero exponentially, while for plants with relative degree greater than one, it converges exponentially to a Residual Set that can be made arbitrarily small by properly choosing some design parameters. Copyright © 2009 John Wiley & Sons, Ltd.