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Self-Oscillations in Dynamic Systems = A New Methodology via Two-Relay Controllers /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Self-Oscillations in Dynamic Systems/ by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte.
Reminder of title:	A New Methodology via Two-Relay Controllers /
Author:	Aguilar, Luis T.
other author:	Boiko, Igor.
Description:	XIV, 158 p. 62 illus., 4 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	System theory. -
Online resource:	https://doi.org/10.1007/978-3-319-23303-1
ISBN:	9783319233031

Self-Oscillations in Dynamic Systems = A New Methodology via Two-Relay Controllers /
Aguilar, Luis T.

Self-Oscillations in Dynamic SystemsA New Methodology via Two-Relay Controllers /[electronic resource] :by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte. - 1st ed. 2015. - XIV, 158 p. 62 illus., 4 illus. in color.online resource. - 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 -- Poincaré 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: Poincaré 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, Poincaré 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:

566168
System theory.

LC Class. No.: Q295

Dewey Class. No.: 519

Self-Oscillations in Dynamic Systems = A New Methodology via Two-Relay Controllers /
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