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 Geometric and Numerical Foundations of Movements by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Romantic Paganism by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Universal Access in Human-Computer Interaction. Interaction Techniques and Environments by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Solar PV and Wind Energy Conversion Systems by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Advances in Sustainable and Environmental Hydrology, Hydrogeology, Hydrochemistry and Water Resources by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Composing Fisher Kernels from Deep Neural Models by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Advances in Human Factors in Cybersecurity by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Privacy and Criminal Justice by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Handbook on 3D3C Platforms by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Advances in Manufacturing, Production Management and Process Control by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Abstracting Geographic Information in a Data Rich World by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Structurally Unstable Quadratic Vector Fields of Codimension One by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book E-Technologies: Embracing the Internet of Things by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book Neurological Regeneration by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
Cover of the book The Visual Neuroscience of Robotic Grasping 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