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151215 ||| eng |
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|a 9783319233031
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|a Aguilar, Luis T.
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|a Self-Oscillations in Dynamic Systems
|h Elektronische Ressource
|b A New Methodology via Two-Relay Controllers
|c by Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte
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| 250 |
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|a 1st ed. 2015
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| 260 |
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|a Cham
|b Birkhäuser
|c 2015, 2015
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| 300 |
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|a XIV, 158 p. 62 illus., 4 illus. in color
|b online resource
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|a Introduction -- Part I: Design of Self-Oscillations using Two-Relay Controller -- Describing Function-Based Design of TRC for Generation of Self-Oscillation -- Poincaré Maps Based Design -- Self-Oscillation via Locus of a Perturbed Relay System Design (LPRS) -- Part II: Robustification of the Self-Oscillation Generated by Two-Relay Controller -- Robustification of the Self-Oscillation via Sliding Modes Tracking Controllers -- Output-Based Robust Generation of Self-Oscillations -- Part III: Applications -- Generating Self-Oscillations in Furuta Pendulum -- Three Link Serial Structure Underactuated Robot -- Generation of Self-Oscillations in Systems with Double Integrator -- Fixed-Phase Loop (FPL) -- Appendix A: Describing Function -- Appendix B: The Locus of a Perturbed Relay System (LPRS) -- Appendix C: Poincaré Map -- Appendix D: Output Feedback -- References -- Index
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| 653 |
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|a Engineering design
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| 653 |
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|a Control and Systems Theory
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 653 |
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|a Control engineering
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| 653 |
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|a Engineering Design
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| 700 |
1 |
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|a Boiko, Igor
|e [author]
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| 700 |
1 |
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|a Fridman, Leonid
|e [author]
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| 700 |
1 |
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|a Iriarte, Rafael
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Systems & Control: Foundations & Applications
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| 028 |
5 |
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|a 10.1007/978-3-319-23303-1
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-319-23303-1?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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| 520 |
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|a 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 ofuncertainties 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
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