{"product_id":"robust-adaptive-control-for-fractional-order-systems-with-disturbance-and-saturation-hardback-9781119393276","title":"Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation (Hardback) 9781119393276","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRobust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eMou Chen (Author), Shuyi Shao (Author), Peng Shi (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119393276, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 15 December 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e24.4 x 17.3 x 1.8 cm, 0.544 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eA treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eRobust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation\u003c\/i\u003e provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together.\u003c\/p\u003e \u003cp\u003eThis book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eBased on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems\u003c\/li\u003e \u003cli\u003eCovers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems\u003c\/li\u003e \u003cli\u003eBy combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances\u003c\/li\u003e \u003cli\u003eConsiders, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturation\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eRobust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation\u003c\/i\u003e can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eSeries Preface xv\u003c\/p\u003e \u003cp\u003eSymbols and Acronyms xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fractional Calculus and Fractional-Order Systems 9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Fractional Calculus 9\u003c\/p\u003e \u003cp\u003e2.1.1 Several Important Functions of Fractional Calculus 9\u003c\/p\u003e \u003cp\u003e2.1.2 Fractional Integral and Derivatives 11\u003c\/p\u003e \u003cp\u003e2.1.3 Some Important Lemmas 12\u003c\/p\u003e \u003cp\u003e2.2 Some Typical Fractional-Order Systems 16\u003c\/p\u003e \u003cp\u003e2.2.1 Fractional-Order Lorenz System 16\u003c\/p\u003e \u003cp\u003e2.2.2 Fractional-Order Van Der Pol Oscillator 18\u003c\/p\u003e \u003cp\u003e2.2.3 Fractional-Order Genesio–Tesi System 18\u003c\/p\u003e \u003cp\u003e2.2.4 Fractional-Order Arneodo System 20\u003c\/p\u003e \u003cp\u003e2.2.5 Fractional-Order Lotka–Volterra System 21\u003c\/p\u003e \u003cp\u003e2.2.6 Fractional-Order Financial System 23\u003c\/p\u003e \u003cp\u003e2.2.7 Fractional-Order Newton–Leipnik System 25\u003c\/p\u003e \u003cp\u003e2.2.8 Fractional-Order Duffing System 27\u003c\/p\u003e \u003cp\u003e2.2.9 Fractional-Order Lü System 29\u003c\/p\u003e \u003cp\u003e2.2.10 Fractional-Order Three-Dimensional System 33\u003c\/p\u003e \u003cp\u003e2.2.11 Fractional-Order Hyperchaotic Oscillator 35\u003c\/p\u003e \u003cp\u003e2.2.12 Fractional-Order Four-Dimensional Hyperchaotic System 37\u003c\/p\u003e \u003cp\u003e2.2.13 Fractional-Order Hyperchaotic Cellular Neural Network 39\u003c\/p\u003e \u003cp\u003e2.3 Conclusion 41\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Fractional-Order PID Controller and Fractional-Order Disturbance Observer 43\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Problem Statement 43\u003c\/p\u003e \u003cp\u003e3.2 Fractional-Order PID Controller 44\u003c\/p\u003e \u003cp\u003e3.2.1 Integer-Order PID Controller 44\u003c\/p\u003e \u003cp\u003e3.2.2 Fractional-Order PI λ D μ Controller 44\u003c\/p\u003e \u003cp\u003e3.2.3 Control Based on Fractional-Order PI λ D μ Controller 45\u003c\/p\u003e \u003cp\u003e3.3 Frequency-Domain Fractional-Order Disturbance Observer 48\u003c\/p\u003e \u003cp\u003e3.3.1 Classical Integer-Order Disturbance Observer 48\u003c\/p\u003e \u003cp\u003e3.3.2 Fractional-Order Disturbance Observer 49\u003c\/p\u003e \u003cp\u003e3.3.3 Estimation Performance of Fractional-Order Disturbance Observer 51\u003c\/p\u003e \u003cp\u003e3.3.4 Control Based on Fractional-Order Disturbance Observer 52\u003c\/p\u003e \u003cp\u003e3.4 Conclusion 53\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Design of Fractional-Order Controllers for Nonlinear Chaotic Systems and Some Applications 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Fractional-Order Control for a Novel Chaotic System Without Equilibrium 55\u003c\/p\u003e \u003cp\u003e4.1.1 Problem Statement 55\u003c\/p\u003e \u003cp\u003e4.1.2 Design of Chaotic System and Circuit Implementation 56\u003c\/p\u003e \u003cp\u003e4.1.2.1 A Novel Chaotic System 56\u003c\/p\u003e \u003cp\u003e4.1.2.2 Circuit Implementation 58\u003c\/p\u003e \u003cp\u003e4.1.3 Design of Fractional-Order Controller and Stability Analysis 59\u003c\/p\u003e \u003cp\u003e4.1.4 Numerical Simulation 62\u003c\/p\u003e \u003cp\u003e4.1.4.1 Novel Chaotic System 62\u003c\/p\u003e \u003cp\u003e4.1.4.2 Chaotic Systems with Equilibrium 63\u003c\/p\u003e \u003cp\u003e4.2 Application of Chaotic System without Equilibrium in Image Encryption 68\u003c\/p\u003e \u003cp\u003e4.2.1 Image Encryption Scheme 69\u003c\/p\u003e \u003cp\u003e4.2.2 Histogram Analysis 69\u003c\/p\u003e \u003cp\u003e4.2.3 Correlation of Two Adjacent Pixels 71\u003c\/p\u003e \u003cp\u003e4.2.4 Anti-Attack Ability of Image Encryption Scheme 71\u003c\/p\u003e \u003cp\u003e4.2.5 Sensitivity Analysis of Key 71\u003c\/p\u003e \u003cp\u003e4.3 Synchronization Control for Fractional-Order Nonlinear Chaotic Systems 73\u003c\/p\u003e \u003cp\u003e4.3.1 Problem Description 73\u003c\/p\u003e \u003cp\u003e4.3.2 Design of Synchronization Controller 73\u003c\/p\u003e \u003cp\u003e4.3.3 Simulation Examples 75\u003c\/p\u003e \u003cp\u003e4.3.3.1 Fractional-Order Chen System 76\u003c\/p\u003e \u003cp\u003e4.3.3.2 Fractional-Order Lorenz System 79\u003c\/p\u003e \u003cp\u003e4.3.4 Application of Synchronization Control Scheme in Secure Communication 82\u003c\/p\u003e \u003cp\u003e4.4 Conclusion 83\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Sliding-Mode Control for Fractional-Order Nonlinear Systems Based on Disturbance Observer 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Problem Statement 85\u003c\/p\u003e \u003cp\u003e5.2 Adaptive Control Design Based on Fractional-Order Sliding-Mode Disturbance Observer 86\u003c\/p\u003e \u003cp\u003e5.2.1 Design of Fractional-Order Sliding-Mode Disturbance Observer 86\u003c\/p\u003e \u003cp\u003e5.2.2 Controller Design and Stability Analysis 87\u003c\/p\u003e \u003cp\u003e5.3 Simulation Examples 89\u003c\/p\u003e \u003cp\u003e5.3.1 Example 1 89\u003c\/p\u003e \u003cp\u003e5.3.2 Example 2 91\u003c\/p\u003e \u003cp\u003e5.4 Conclusion 94\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Disturbance-Observer-Based Neural Control for Uncertain Fractional-Order Rotational Mechanical System 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Problem Statement 95\u003c\/p\u003e \u003cp\u003e6.2 Adaptive Neural Control Design 96\u003c\/p\u003e \u003cp\u003e6.2.1 Design of Fractional-Order Disturbance Observer 96\u003c\/p\u003e \u003cp\u003e6.2.2 Controller Design and Stability Analysis 97\u003c\/p\u003e \u003cp\u003e6.3 Simulation Example 101\u003c\/p\u003e \u003cp\u003e6.4 Conclusion 105\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Adaptive Neural Tracking Control for Uncertain Fractional-Order Chaotic Systems Subject to Input Saturation and Disturbance 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Problem Statement 107\u003c\/p\u003e \u003cp\u003e7.2 Adaptive Neural Control Design Based on Fractional-Order Disturbance Observer 108\u003c\/p\u003e \u003cp\u003e7.3 Simulation Examples 115\u003c\/p\u003e \u003cp\u003e7.3.1 Fractional-Order Chaotic Electronic Oscillator 116\u003c\/p\u003e \u003cp\u003e7.3.2 Fractional-Order Modified Jerk System 118\u003c\/p\u003e \u003cp\u003e7.4 Conclusion 121\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Stabilization Control of Continuous-Time Fractional Positive Systems Based on Disturbance Observer 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Problem Statement 123\u003c\/p\u003e \u003cp\u003e8.1.1 Notation and Definitions 123\u003c\/p\u003e \u003cp\u003e8.1.2 Preliminaries 123\u003c\/p\u003e \u003cp\u003e8.2 Main Results 126\u003c\/p\u003e \u003cp\u003e8.2.1 Fractional Disturbance Observer 126\u003c\/p\u003e \u003cp\u003e8.2.2 Stabilization Control of Fractional Positive System 128\u003c\/p\u003e \u003cp\u003e8.2.3 Simulation of Fractional Positive System 130\u003c\/p\u003e \u003cp\u003e8.2.4 Stabilization Control of Fractional Bounded Positive System 131\u003c\/p\u003e \u003cp\u003e8.2.5 Simulation of Fractional Bounded Positive System 133\u003c\/p\u003e \u003cp\u003e8.3 Conclusion 137\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Sliding-Mode Synchronization Control for Fractional-Order Chaotic Systems with Disturbance 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Problem Statement 139\u003c\/p\u003e \u003cp\u003e9.2 Design of Fractional-Order Disturbance Observer 139\u003c\/p\u003e \u003cp\u003e9.3 Disturbance-Observer-Based Synchronization Control of Fractional-Order Chaotic Systems 141\u003c\/p\u003e \u003cp\u003e9.4 Simulation Examples 144\u003c\/p\u003e \u003cp\u003e9.4.1 Synchronization Control of Modified Fractional-Order Jerk System 144\u003c\/p\u003e \u003cp\u003e9.4.2 Synchronization Control of Fractional-Order Liu System 148\u003c\/p\u003e \u003cp\u003e9.5 Conclusion 152\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Anti-Synchronization Control for Fractional-Order Nonlinear Systems Using Disturbance Observer and Neural Networks 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Problem Statement 153\u003c\/p\u003e \u003cp\u003e10.2 Design of Disturbance Observer 153\u003c\/p\u003e \u003cp\u003e10.3 Anti-Synchronization Control of Fractional-Order Nonlinear Systems 155\u003c\/p\u003e \u003cp\u003e10.4 Simulation Examples 158\u003c\/p\u003e \u003cp\u003e10.4.1 Anti-Synchronization Control of Fractional-Order Lorenz System 159\u003c\/p\u003e \u003cp\u003e10.4.2 Anti-Synchronization Control of Fractional-Order Lü System 161\u003c\/p\u003e \u003cp\u003e10.5 Conclusion 167\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Synchronization Control for Fractional-Order Systems Subjected to Input Saturation 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Problem Statement 169\u003c\/p\u003e \u003cp\u003e11.2 Synchronization Control Design of Fractional-Order Systems with Input Saturation 170\u003c\/p\u003e \u003cp\u003e11.3 Simulation Examples 172\u003c\/p\u003e \u003cp\u003e11.3.1 Fractional-Order Modified Chua’s Circuit with Sine Function 172\u003c\/p\u003e \u003cp\u003e11.3.2 Fractional-Order Four-Dimensional Modified Chua’s Circuit 174\u003c\/p\u003e \u003cp\u003e11.4 Conclusion 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Synchronization Control for Fractional-Order Chaotic Systems with Input Saturation and Disturbance 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Problem Statement 181\u003c\/p\u003e \u003cp\u003e12.2 Design of Fractional-Order Disturbance Observer 181\u003c\/p\u003e \u003cp\u003e12.3 Design of Synchronization Control 183\u003c\/p\u003e \u003cp\u003e12.4 Simulation Examples 185\u003c\/p\u003e \u003cp\u003e12.4.1 Fractional-Order Chua’s Circuit 185\u003c\/p\u003e \u003cp\u003e12.4.2 Fractional-Order Hyperchaos Chua’s Circuit 189\u003c\/p\u003e \u003cp\u003e12.5 Conclusion 197\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A Fractional Derivatives of Some Functions 199\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA. 1 Fractional Derivative of Constant 199\u003c\/p\u003e \u003cp\u003eA. 2 Fractional Derivative of the Power Function 199\u003c\/p\u003e \u003cp\u003eA. 3 Fractional Derivative of the Exponential Function 200\u003c\/p\u003e \u003cp\u003eA. 4 Fractional Derivatives of Sine and Cosine Functions 201\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B Table of Caputo Derivatives 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C Laplace Transforms Involving Fractional Operations 205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC.1 Laplace Transforms 205\u003c\/p\u003e \u003cp\u003eC.2 Special Functions for Laplace Transforms 205\u003c\/p\u003e \u003cp\u003eC.3 Laplace Transform Tables 205\u003c\/p\u003e \u003cp\u003eReferences 211\u003c\/p\u003e \u003cp\u003eIndex 227\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ASME Press Series","offers":[{"title":"Brand New","offer_id":52428571967768,"sku":"9781119393276","price":87.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119393276.jpg?v=1784680156","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/robust-adaptive-control-for-fractional-order-systems-with-disturbance-and-saturation-hardback-9781119393276","provider":"Freshly Printed Books","version":"1.0","type":"link"}