{"product_id":"active-disturbance-rejection-control-for-nonlinear-systems-9781119239925","title":"Active Disturbance Rejection Control for","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003e\u003cb\u003eA concise, in-depth introduction to active disturbance rejection control theory for nonlinear systems, with numerical simulations and clearly worked out equations\u003c\/b\u003e\u003c\/i\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eProvides the fundamental, theoretical foundation for applications of active disturbance rejection control\u003c\/li\u003e \u003cli\u003eFeatures numerical simulations and clearly worked out equations\u003c\/li\u003e \u003cli\u003eHighlights the advantages of active disturbance rejection control, including small overshooting, fast convergence, and energy savings\u003c\/li\u003e \u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Problem Statement 1\u003c\/p\u003e \u003cp\u003e1.2 Overview of Engineering Applications 6\u003c\/p\u003e \u003cp\u003e1.3 Preliminaries 9\u003c\/p\u003e \u003cp\u003e1.3.1 Canonical Form of ADRC 9\u003c\/p\u003e \u003cp\u003e1.3.2 Stability for Nonlinear Systems 18\u003c\/p\u003e \u003cp\u003e1.3.3 Stability of Linear Systems 24\u003c\/p\u003e \u003cp\u003e1.3.4 Finite-Time Stability of Continuous System 27\u003c\/p\u003e \u003cp\u003e1.3.5 Stability of Discontinuous Systems 32\u003c\/p\u003e \u003cp\u003e1.3.6 Proof of Theorem 1.3.11 34\u003c\/p\u003e \u003cp\u003e1.4 Remarks and Bibliographical Notes 50\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 The Tracking Differentiator (TD) 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Linear Tracking Differentiator 55\u003c\/p\u003e \u003cp\u003e2.2 Nonlinear Tracking Differentiator 59\u003c\/p\u003e \u003cp\u003e2.2.1 Second-Order Nonlinear Tracking Differentiator 60\u003c\/p\u003e \u003cp\u003e2.2.2 High-Order Nonlinear Tracking Differentiator 64\u003c\/p\u003e \u003cp\u003e2.3 Finite-Time Stable System-Based Tracking Differentiator 69\u003c\/p\u003e \u003cp\u003e2.3.1 Convergence of Finite-Time Stable System-Based TD 70\u003c\/p\u003e \u003cp\u003e2.3.2 A Second-Order Finite-Time Stable Tracking Differentiator 75\u003c\/p\u003e \u003cp\u003e2.4 Illustrative Examples and Applications 77\u003c\/p\u003e \u003cp\u003e2.4.1 Comparison of Three Differentiators 77\u003c\/p\u003e \u003cp\u003e2.4.2 Applications to Frequency Online Estimation 81\u003c\/p\u003e \u003cp\u003e2.4.3 Application to the Boundary Stabilization of Wave Equation 85\u003c\/p\u003e \u003cp\u003e2.5 Summary and Open Problems 88\u003c\/p\u003e \u003cp\u003e2.6 Remarks and Bibliographical Notes 89\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Extended State Observer 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Linear Extended State Observer for SISO Systems 94\u003c\/p\u003e \u003cp\u003e3.2 Nonlinear Extended State Observer for SISO Systems 100\u003c\/p\u003e \u003cp\u003e3.2.1 Nonlinear ESO for SISO Systems 101\u003c\/p\u003e \u003cp\u003e3.2.2 Some Special ESO 109\u003c\/p\u003e \u003cp\u003e3.3 The ESO for SISO Systems with Time-Varying Gain 119\u003c\/p\u003e \u003cp\u003e3.4 The ESO for MIMO Systems with Uncertainty 133\u003c\/p\u003e \u003cp\u003e3.4.1 ESO for Systems with Total Disturbance 133\u003c\/p\u003e \u003cp\u003e3.4.2 ESO for Systems with External Disturbance Only 141\u003c\/p\u003e \u003cp\u003e3.4.3 Examples and Numerical Simulations 144\u003c\/p\u003e \u003cp\u003e3.5 Summary and Open Problems 150\u003c\/p\u003e \u003cp\u003e3.6 Remarks and Bibliographical Notes 153\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The Active Disturbance Rejection Control 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Linear ADRC for SISO Systems 157\u003c\/p\u003e \u003cp\u003e4.1.1 Global Convergence of Linear ADRC for SISO Systems 157\u003c\/p\u003e \u003cp\u003e4.1.2 Global Convergence for Systems with External Disturbance Only 167\u003c\/p\u003e \u003cp\u003e4.1.3 Semi-Global Convergence of LADRC 176\u003c\/p\u003e \u003cp\u003e4.1.4 Numerical Simulations 183\u003c\/p\u003e \u003cp\u003e4.2 Nonlinear ADRC for SISO Systems 187\u003c\/p\u003e \u003cp\u003e4.2.1 Global ADRC for SISO Systems with Total Disturbance 187\u003c\/p\u003e \u003cp\u003e4.2.2 Global ADRC for SISO System with External Disturbance Only 195\u003c\/p\u003e \u003cp\u003e4.2.3 Semi-global ADRC for SISO System with Vast Uncertainty 203\u003c\/p\u003e \u003cp\u003e4.2.4 Examples and Numerical Simulations 204\u003c\/p\u003e \u003cp\u003e4.3 ADRC with Time-Varying Tuning Parameter 206\u003c\/p\u003e \u003cp\u003e4.4 Nonlinear ADRC for MIMO Systems with Vast Uncertainty 228\u003c\/p\u003e \u003cp\u003e4.4.1 Semi-Global ADRC for MIMO Systems with Uncertainty 231\u003c\/p\u003e \u003cp\u003e4.4.2 Global ADRC for MIMO Systems with Uncertainty 238\u003c\/p\u003e \u003cp\u003e4.4.3 Global ADRC for MIMO Systems with External Disturbance Only 245\u003c\/p\u003e \u003cp\u003e4.4.4 Numerical Simulations 250\u003c\/p\u003e \u003cp\u003e4.5 IMP Versus ADRC 252\u003c\/p\u003e \u003cp\u003e4.6 HGC and SMC Versus ADRC 263\u003c\/p\u003e \u003cp\u003e4.7 Applications to PMSMs 267\u003c\/p\u003e \u003cp\u003e4.8 Application to Wave Equation with Uncertainty 270\u003c\/p\u003e \u003cp\u003e4.8.1 Control Design 271\u003c\/p\u003e \u003cp\u003e4.8.2 Proof of Theorem 4.8.1 279\u003c\/p\u003e \u003cp\u003e4.9 Summary and Open Problems 287\u003c\/p\u003e \u003cp\u003e4.10 Remarks and Bibliographical Notes 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 ADRC for Lower Triangular Nonlinear Systems 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 ESO for Lower Triangular Systems 291\u003c\/p\u003e \u003cp\u003e5.1.1 Constant High-Gain ESO 292\u003c\/p\u003e \u003cp\u003e5.1.2 Time-Varying Gain ESO 301\u003c\/p\u003e \u003cp\u003e5.1.3 Numerical Simulation 306\u003c\/p\u003e \u003cp\u003e5.2 Stabilization of Lower Triangular Systems by ADRC 312\u003c\/p\u003e \u003cp\u003e5.2.1 ADRC with Constant Gain ESO 313\u003c\/p\u003e \u003cp\u003e5.2.2 ADRC with Time-Varying Gain ESO 327\u003c\/p\u003e \u003cp\u003e5.3 Numerical Simulations 331\u003c\/p\u003e \u003cp\u003e5.4 Summary and Open Problems 336\u003c\/p\u003e \u003cp\u003e5.5 Remarks and Bibliographical Notes 338\u003c\/p\u003e \u003cp\u003eReferences 341\u003c\/p\u003e \u003cp\u003eIndex 349\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407016927575,"sku":"9781119239925","price":104.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119239925.jpg?v=1730497889","url":"https:\/\/bookcurl.com\/products\/active-disturbance-rejection-control-for-nonlinear-systems-9781119239925","provider":"Book Curl","version":"1.0","type":"link"}