{"product_id":"9783319233024","title":"Systems \u0026 Control: Foundations \u0026 Applications: A New Methodology via Two-Relay Controllers","description":"\u003ch1\u003eSystems \u0026amp; Control: Foundations \u0026amp; Applications: A New Methodology via Two-Relay Controllers\u003c\/h1\u003e \u003ch2\u003eAguilar, Luis T.; Boiko, Igor; Fridman, Leonid; Iriarte, Rafael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eTwo 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.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eSelf-Oscillations in Dynamic Systems\u003c\/i\u003e 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-10-12\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319233024\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-23303-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 158\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46541407584396,"sku":"9783319233024","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319233024.jpg?v=1775734193","url":"https:\/\/lateknightbooks.com\/products\/9783319233024","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}