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Active Disturbance Rejection Control for Nonlinear Systems : An Introduction.

By: Contributor(s): Material type: TextTextPublisher: Newark : John Wiley & Sons, Incorporated, 2017Copyright date: ©2016Edition: 1st edDescription: 1 online resource (365 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781119239949
Subject(s): Genre/Form: Additional physical formats: Print version:: Active Disturbance Rejection Control for Nonlinear SystemsDDC classification:
  • 620.3/7
LOC classification:
  • TA355.G79 2016
Online resources:
Contents:
Cover -- Title Page -- Copyright -- Contents -- Preface -- Chapter 1 Introduction -- 1.1 Problem Statement -- 1.2 Overview of Engineering Applications -- 1.3 Preliminaries -- 1.3.1 Canonical Form of ADRC -- 1.3.2 Stability for Nonlinear Systems -- 1.3.3 Stability of Linear Systems -- 1.3.4 Finite-Time Stability of Continuous System -- 1.3.5 Stability of Discontinuous Systems -- 1.3.6 Proof of Theorem 1.3.11 -- 1.4 Remarks and Bibliographical Notes -- Chapter 2 The Tracking Differentiator (TD) -- 2.1 Linear Tracking Differentiator -- 2.2 Nonlinear Tracking Differentiator -- 2.2.1 Second-Order Nonlinear Tracking Differentiator -- 2.2.2 High-Order Nonlinear Tracking Differentiator -- 2.3 Finite-Time Stable System-Based Tracking Differentiator -- 2.3.1 Convergence of Finite-Time Stable System-Based TD -- 2.3.2 A Second-Order Finite-Time Stable Tracking Differentiator -- 2.4 Illustrative Examples and Applications -- 2.4.1 Comparison of Three Differentiators -- 2.4.2 Applications to Frequency Online Estimation -- 2.4.3 Application to the Boundary Stabilization of Wave Equation -- 2.5 Summary and Open Problems -- 2.6 Remarks and Bibliographical Notes -- Chapter 3 Extended State Observer -- 3.1 Linear Extended State Observer for SISO Systems -- 3.2 Nonlinear Extended State Observer for SISO Systems -- 3.2.1 Nonlinear ESO for SISO Systems -- 3.2.2 Some Special ESO -- 3.3 The ESO for SISO Systems with Time-Varying Gain -- 3.4 The ESO for MIMO Systems with Uncertainty -- 3.4.1 ESO for Systems with Total Disturbance -- 3.4.2 ESO for Systems with External Disturbance Only -- 3.4.3 Examples and Numerical Simulations -- 3.5 Summary and Open Problems -- 3.6 Remarks and Bibliographical Notes -- Chapter 4 The Active Disturbance Rejection Control -- 4.1 Linear ADRC for SISO Systems -- 4.1.1 Global Convergence of Linear ADRC for SISO Systems.
4.1.2 Global Convergence for Systems with External Disturbance Only -- 4.1.3 Semi-Global Convergence of LADRC -- 4.1.4 Numerical Simulations -- 4.2 Nonlinear ADRC for SISO Systems -- 4.2.1 Global ADRC for SISO Systems with Total Disturbance -- 4.2.2 Global ADRC for SISO System with External Disturbance Only -- 4.2.3 Semi-global ADRC for SISO System with Vast Uncertainty -- 4.2.4 Examples and Numerical Simulations -- 4.3 ADRC with Time-Varying Tuning Parameter -- 4.4 Nonlinear ADRC for MIMO Systems with Vast Uncertainty -- 4.4.1 Semi-Global ADRC for MIMO Systems with Uncertainty -- 4.4.2 Global ADRC for MIMO Systems with Uncertainty -- 4.4.3 Global ADRC for MIMO Systems with External Disturbance Only -- 4.4.4 Numerical Simulations -- 4.5 IMP Versus ADRC -- 4.6 HGC and SMC Versus ADRC -- 4.7 Applications to PMSMs -- 4.8 Application to Wave Equation with Uncertainty -- 4.8.1 Control Design -- 4.8.2 Proof of Theorem 4.8.1 -- 4.9 Summary and Open Problems -- 4.10 Remarks and Bibliographical Notes -- Chapter 5 ADRC for Lower Triangular Nonlinear Systems -- 5.1 ESO for Lower Triangular Systems -- 5.1.1 Constant High-Gain ESO -- 5.1.2 Time-Varying Gain ESO -- 5.1.3 Numerical Simulation -- 5.2 Stabilization of Lower Triangular Systems by ADRC -- 5.2.1 ADRC with Constant Gain ESO -- 5.2.2 ADRC with Time-Varying Gain ESO -- 5.3 Numerical Simulations -- 5.4 Summary and Open Problems -- 5.5 Remarks and Bibliographical Notes -- References -- Index -- EULA.
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Cover -- Title Page -- Copyright -- Contents -- Preface -- Chapter 1 Introduction -- 1.1 Problem Statement -- 1.2 Overview of Engineering Applications -- 1.3 Preliminaries -- 1.3.1 Canonical Form of ADRC -- 1.3.2 Stability for Nonlinear Systems -- 1.3.3 Stability of Linear Systems -- 1.3.4 Finite-Time Stability of Continuous System -- 1.3.5 Stability of Discontinuous Systems -- 1.3.6 Proof of Theorem 1.3.11 -- 1.4 Remarks and Bibliographical Notes -- Chapter 2 The Tracking Differentiator (TD) -- 2.1 Linear Tracking Differentiator -- 2.2 Nonlinear Tracking Differentiator -- 2.2.1 Second-Order Nonlinear Tracking Differentiator -- 2.2.2 High-Order Nonlinear Tracking Differentiator -- 2.3 Finite-Time Stable System-Based Tracking Differentiator -- 2.3.1 Convergence of Finite-Time Stable System-Based TD -- 2.3.2 A Second-Order Finite-Time Stable Tracking Differentiator -- 2.4 Illustrative Examples and Applications -- 2.4.1 Comparison of Three Differentiators -- 2.4.2 Applications to Frequency Online Estimation -- 2.4.3 Application to the Boundary Stabilization of Wave Equation -- 2.5 Summary and Open Problems -- 2.6 Remarks and Bibliographical Notes -- Chapter 3 Extended State Observer -- 3.1 Linear Extended State Observer for SISO Systems -- 3.2 Nonlinear Extended State Observer for SISO Systems -- 3.2.1 Nonlinear ESO for SISO Systems -- 3.2.2 Some Special ESO -- 3.3 The ESO for SISO Systems with Time-Varying Gain -- 3.4 The ESO for MIMO Systems with Uncertainty -- 3.4.1 ESO for Systems with Total Disturbance -- 3.4.2 ESO for Systems with External Disturbance Only -- 3.4.3 Examples and Numerical Simulations -- 3.5 Summary and Open Problems -- 3.6 Remarks and Bibliographical Notes -- Chapter 4 The Active Disturbance Rejection Control -- 4.1 Linear ADRC for SISO Systems -- 4.1.1 Global Convergence of Linear ADRC for SISO Systems.

4.1.2 Global Convergence for Systems with External Disturbance Only -- 4.1.3 Semi-Global Convergence of LADRC -- 4.1.4 Numerical Simulations -- 4.2 Nonlinear ADRC for SISO Systems -- 4.2.1 Global ADRC for SISO Systems with Total Disturbance -- 4.2.2 Global ADRC for SISO System with External Disturbance Only -- 4.2.3 Semi-global ADRC for SISO System with Vast Uncertainty -- 4.2.4 Examples and Numerical Simulations -- 4.3 ADRC with Time-Varying Tuning Parameter -- 4.4 Nonlinear ADRC for MIMO Systems with Vast Uncertainty -- 4.4.1 Semi-Global ADRC for MIMO Systems with Uncertainty -- 4.4.2 Global ADRC for MIMO Systems with Uncertainty -- 4.4.3 Global ADRC for MIMO Systems with External Disturbance Only -- 4.4.4 Numerical Simulations -- 4.5 IMP Versus ADRC -- 4.6 HGC and SMC Versus ADRC -- 4.7 Applications to PMSMs -- 4.8 Application to Wave Equation with Uncertainty -- 4.8.1 Control Design -- 4.8.2 Proof of Theorem 4.8.1 -- 4.9 Summary and Open Problems -- 4.10 Remarks and Bibliographical Notes -- Chapter 5 ADRC for Lower Triangular Nonlinear Systems -- 5.1 ESO for Lower Triangular Systems -- 5.1.1 Constant High-Gain ESO -- 5.1.2 Time-Varying Gain ESO -- 5.1.3 Numerical Simulation -- 5.2 Stabilization of Lower Triangular Systems by ADRC -- 5.2.1 ADRC with Constant Gain ESO -- 5.2.2 ADRC with Time-Varying Gain ESO -- 5.3 Numerical Simulations -- 5.4 Summary and Open Problems -- 5.5 Remarks and Bibliographical Notes -- References -- Index -- EULA.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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