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Item Details
Title:
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SELF-OSCILLATIONS IN DYNAMIC SYSTEMS
A NEW METHODOLOGY VIA TWO-RELAY CONTROLLERS |
By: |
Luis T. Aguilar, Igor Boiko, Leonid Fridman |
Format: |
Hardback |
List price:
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£74.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
3319233025 |
ISBN 13: |
9783319233024 |
Publisher: |
BIRKHAUSER |
Pub. date: |
2 October, 2015 |
Edition: |
1st ed. 2015 |
Series: |
Systems & Control: Foundations & Applications |
Pages: |
158 |
Description: |
Self-Oscillations in Dynamic Systems |
Synopsis: |
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. |
Illustrations: |
4 Tables, black and white; XIV, 158 p. |
Publication: |
Switzerland |
Imprint: |
Birkhauser |
Returns: |
Returnable |
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