Self-oscillations in dynamic systems : a new methodology via two-relay controllers /: a new methodology via two-relay controllers. ([2015])

• Record Type: Book
• Further Information: Note: Luis T. Aguilar, Igor Boiko, Leonid Fridman, Rafael Iriarte.
• Authors: Aguilar, Luis T; Boĭko, Igorʹ; Fridman, Leonid; Iriarte, Rafael
• Contents: Preface; Acknowledgments; Notations and Acronyms; Contents; 1 Introduction ; 1.1 State of the Art; 1.1.1 Overview; 1.1.2 Tools for Generation of Self-Oscillations Used in this Book; 1.1.3 Generation Methods Self-Oscillations; 1.2 Generation of Self-Excited Oscillations: A Describing Function Approach; 1.2.1 Analysis of Van der Pol Equation; 1.2.2 The Problem of Self-Oscillations in Systems Containing Double Integrator; 1.2.3 Why Not Tracking?; 1.3 Organization of the Book; 1.3.1 Contents of the Book; 1.3.2 How to Read the Book?; Part I Design of Self-Oscillations Using Two-Relay Controller. 2 Describing Function-Based Design of TRC for Generation of Self-Oscillation 2.1 Introduction; 2.2 The Two-Relay Controller; 2.3 Describing Function of the Two-Relay Control; 2.4 Describing Function as Design Method; 2.5 Orbital Asymptotic Stability; 2.6 The Inertia Wheel Pendulum: An Example; 2.6.1 Linearization of IWP dynamics; 2.6.2 Gains Adjustment; 2.6.3 Bounded Input Problem; 2.6.4 Simulation Results; 2.7 Concluding Remarks; 3 Poincaré Map-Based Design ; 3.1 Introduction; 3.2 Poincaré Map-Based Design of the Gains of the TRC for Linearized Model. 3.3 General Poincaré Map Approach Generated by TRC3.4 The Inertia Wheel Pendulum-TRC Gains Tuning for Generating SO; 3.5 Comments; 4 Self-Oscillation via Locus of a Perturbed Relay System Design (LPRS) ; 4.1 Introduction; 4.2 LPRS-Based Analysis of a System with TRC; 4.3 Computation of LPRS for the Two-Relay Controller Based on Infinite Series; 4.4 LPRS as Design Method; 4.5 The Inertia Wheel Pendulum: Gain Tuning Based on LPRS Design; 4.6 Linearized Poincaré Map-Based Analysis of Orbital Stability; 4.7 Comments; Part II Robustification of Self-Oscillations Generated by Two-Relay Controller. 5 Robustification of the Self-Oscillation via Sliding Modes Tracking Controllers 5.1 Introduction; 5.2 Idea for Robustification; 5.3 Inertia Wheel Pendulum Under Disturbances and Friction; 5.4 Generation of Nominal Trajectories; 5.5 Tracking of the SO Generated by the TRC; 5.5.1 Twisting Tracking Control; 5.5.2 HOSM Tracking Controller; 5.6 Experimental Study; 5.6.1 Experimental Setup; 5.6.2 Experimental Results; 5.7 Comments and Remarks; 6 Output-Based Robust Generation of Self-Oscillations via High-Order Sliding Modes Observer; 6.1 Introduction. 6.2 HOSM Observation and Uncertainties Compensation6.2.1 Generation of SO in a Nominal System; 6.2.2 Uncertainties Compensation; 6.3 Application to the Inertia Wheel Pendulum; 6.4 Simulation Results; 6.5 Comments; Part III Applications; 7 Generating Self-Oscillations in Furuta Pendulum ; 7.1 Introduction; 7.2 Description of the Plant and Problem Formulation; 7.3 Linearization; 7.4 Experimental Study; 7.4.1 Experimental Setup; 7.4.2 Experimental Results; 7.5 Conclusion and Remarks; 8 Three Link Serial Structure Underactuated Robot ; 8.1 Introduction.
• Publisher Details: Cham : Birkhauser
• Publication Date: 2015
• Extent: 1 online resource (xiv, 158 pages)
• Subjects: 531/.32; Mathematics; Oscillations; Relay control systems; Systems theory; Engineering design; SCIENCE -- Mechanics -- General; SCIENCE -- Mechanics -- Solids; Oscillations; Relay control systems; Technology & Engineering -- Automation; Technology & Engineering -- Industrial Design -- Product; Automatic control engineering; Technical design; Science -- System Theory; Cybernetics & systems theory; Electronic books
• Languages: English
• ISBNs: 9783319233031; 3319233033
• Related ISBNs: 9783319233024; 3319233025; 9783319233024
• Notes: Note: Includes bibliographical references and index.; Note: Vendor-supplied metadata.
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