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Self-oscillations in dynamic systems...

Aguilar, Luis T.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Self-oscillations in dynamic systems/ by Luis T. Aguilar ... [et al.].
Reminder of title:	a new methodology via two-relay controllers /
other author:	Aguilar, Luis T.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 158 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Oscillations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-23303-1
ISBN:	9783319233031

Self-oscillations in dynamic systems = a new methodology via two-relay controllers /
Self-oscillations in dynamic systemsa new methodology via two-relay controllers /[electronic resource] :by Luis T. Aguilar ... [et al.]. - Cham :Springer International Publishing :2015. - xiv, 158 p. :ill., digital ;24 cm. - Systems & control: foundations & applications,2324-9749. - Systems & control: foundations & applications..

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.

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.

ISBN: 9783319233031

Standard No.: 10.1007/978-3-319-23303-1doiSubjects--Topical Terms:

560896
Oscillations.

LC Class. No.: QA865 / .A48 2015

Dewey Class. No.: 531.32

Self-oscillations in dynamic systems = a new methodology via two-relay controllers /
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245 0 0 $a Self-oscillations in dynamic systems $h [electronic resource] : $b a new methodology via two-relay controllers / $c by Luis T. Aguilar ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a xiv, 158 p. : $b ill., digital ; $c 24 cm.
490 1 $a Systems & control: foundations & applications, $x 2324-9749
505 0 $a 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.
520 $a 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.
650 0 $a Oscillations. $3 560896
650 0 $a Relay control systems. $3 844448
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Control. $3 1006321
650 2 4 $a Engineering Design. $3 891033
700 1 $a Aguilar, Luis T. $3 855556
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Systems & control: foundations & applications. $3 1620349
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-23303-1
950 $a Mathematics and Statistics (Springer-11649)