Self-oscillations in dynamic systems : a new methodology via two-relay controllers

著者

    • Aguilar, Luis T.

書誌事項

Self-oscillations in dynamic systems : a new methodology via two-relay controllers

Luis T. Aguilar ... [et al.]

(Systems & control)

Birkhäuser , Springer, c2015

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This monograph presents a simple and efficient two-relay control algorithm for generation of self-excited oscillations of a desired amplitude and frequency in dynamic systems. Developed by the authors, the two-relay controller consists of two relays switched by the feedback received from a linear or nonlinear system, and represents a new approach to the self-generation of periodic motions in underactuated mechanical systems. The first part of the book explains the design procedures for two-relay control using three different methodologies - the describing-function method, Poincare maps, and the locus-of-a perturbed-relay-system method - and concludes with stability analysis of designed periodic oscillations. Two methods to ensure the robustness of two-relay control algorithms are explored in the second part, one based on the combination of the high-order sliding mode controller and backstepping, and the other on higher-order sliding-modes-based reconstruction of uncertainties and their compensation where Lyapunov-based stability analysis of tracking error is used. Finally, the third part illustrates applications of self-oscillation generation by a two-relay control with a Furuta pendulum, wheel pendulum, 3-DOF underactuated robot, 3-DOF laboratory helicopter, and fixed-phase electronic circuits. Self-Oscillations in Dynamic Systems will appeal to engineers, researchers, and graduate students working on the tracking and self-generation of periodic motion of electromechanical systems, including non-minimum-phase systems. It will also be of interest to mathematicians working on analysis of periodic solutions.

目次

Introduction.- Part I: Design of Self-Oscillations using Two-Relay Controller.- Describing Function-Based Design of TRC for Generation of Self-Oscillation.- Poincare Maps Based Design.- Self-Oscillation via Locus of a Perturbed Relay System Design (LPRS).- Part II: Robustification of the Self-Oscillation Generated by Two-Relay Controller.- Robustification of the Self-Oscillation via Sliding Modes Tracking Controllers.- Output-Based Robust Generation of Self-Oscillations.- Part III: Applications.- Generating Self-Oscillations in Furuta Pendulum.- Three Link Serial Structure Underactuated Robot.- Generation of Self-Oscillations in Systems with Double Integrator.- Fixed-Phase Loop (FPL).- Appendix A: Describing Function.- Appendix B: The Locus of a Perturbed Relay System (LPRS).- Appendix C: Poincare Map.- Appendix D: Output Feedback.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BB19854647
  • ISBN
    • 9783319233024
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Basel],Cham
  • ページ数/冊数
    xiv, 158 p.
  • 大きさ
    25 cm
  • 親書誌ID
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