{"product_id":"self-oscillations-in-dynamic-systems-a-new-methodology-via-two-relay-controllers-9783319365374","title":"Self-Oscillations in Dynamic Systems: A New Methodology Via Two-Relay Controllers","description":"\u003cp\u003e • Author(s): Luis T. Aguilar\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: System Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\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\u003e\u003cbr\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\u003e\u003cbr\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\u003cbr\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276876963991,"sku":"9783319365374","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319365374.webp?v=1769286894","url":"https:\/\/atlanticbooks.com\/products\/self-oscillations-in-dynamic-systems-a-new-methodology-via-two-relay-controllers-9783319365374","provider":"Atlantic Books","version":"1.0","type":"link"}