Self-Oscillations in Dynamic Systems: A New Methodology Via Two-Relay Controllers Softcover Repri Edition Contributor(s): Aguilar, Luis T. (Author), Boiko, Igor (Author), Fridman, Leonid (Author) |
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ISBN: 3319365371 ISBN-13: 9783319365374 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: August 2016 |
Additional Information |
BISAC Categories: - Science | System Theory - Technology & Engineering | Automation - Technology & Engineering | Industrial Design - Product |
Dewey: 519 |
Series: Systems & Control: Foundations & Applications |
Physical Information: 0.37" H x 6.14" W x 9.21" (0.56 lbs) 158 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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, Poincar 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. |