Self-Oscillations in Dynamic Systems

A New Methodology via Two-Relay Controllers

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Automation, Reference & Language, Reference
Cover of the book Self-Oscillations in Dynamic Systems by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte ISBN: 9783319233031
Publisher: Springer International Publishing Publication: October 1, 2015
Imprint: Birkhäuser Language: English
Author: Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
ISBN: 9783319233031
Publisher: Springer International Publishing
Publication: October 1, 2015
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Intelligent Soil Management for Sustainable Agriculture by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Hypergraph Theory in Wireless Communication Networks by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book A Course in Classical Physics 3 — Electromagnetism by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Sustainability in Fashion by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Advances in Computational Intelligence Systems by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Virtual Sociocultural Convergence by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Bayesian Inference by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Airports, Cities, and the Jet Age by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Experiential Learning for Entrepreneurship by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Improving Service Level Engineering by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Advances in Manufacturing by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Religious Cognition in China by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Reviews of Environmental Contamination and Toxicology Volume 245 by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Preventing Corporate Corruption by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Properly Colored Connectivity of Graphs by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy