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mehta u applied fractional calculus identification contr 2022

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Textbook in PDF format The book investigates the fractional calculus-based approaches and their benefits to adopting in complex real-time areas. Another objective is to provide initial solutions for new areas where fractional theory has yet to verify the expertise. The book focuses on the latest scientific interest and illustrates the basic idea of general fractional calculus with MATLAB codes. This book is ideal for researchers working on fractional calculus theory both in simulation and hardware. Researchers from academia and industry working or starting research in applied fractional calculus methods will find the book most useful. The scope of this book covers most of the theoretical and practical studies on linear and nonlinear systems using fractional-order integro-differential operators. Preface About the Editors Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function Introduction Katugampola Fractional Integral of a Multivariate Vector-Valued Function Fractional Derivative of a Fractal Function Conclusion References Synchronization of Stochastic Fractional Chaotic Systems Introduction Preliminaries Main Results Examples Conclusion References Fractional-Order Comb Filter Design For Power-Line Interference Removal Introduction Background of Fractional-Order Filter Design Proposed Approach for Fractional-Order Comb Filter Design and Verification Conclusions References Practical Realization of Fractional-Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor Introduction Fractional-Order Notch Filter Optimizing Filter Coefficients for Real-Time Implementation Simulation and Experimental Study Conclusions References Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed Loop Bandwidth Introduction Controller Design Process-1 Process-2 Evaluation of Controller Parameters Solution Philosophy Finding beta Subscript a Baseline element of normal upper Delta Subscript aβa inΔa Finding beta Subscript b Baseline element of normal upper Delta Subscript bβb inΔb Simulation Examples Example-1 Example-2 Discussions and Conclusions References Internal Model Control-Based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin Introduction Motivation to Not Approximating the Delay Term in IMC Internal Model Controller upper A Subscript mAm and phi Subscript mφm Specifications Design Philosophy Finding omega Subscript p Baseline element of normal upper Xi Subscript aωpinΞa Finding omega Subscript g Baseline element of normal upper Xi Subscript bωg inΞb Disturbance Rejection Analysis Algorithm for Determining FO-IMC Controller Parameters Simulation Studies and Experimental Validation Example-I Example-II Example-III Experimental Validation Discussion and Conclusion References Novel Hybrid Iterative Learning–Fractional Predicative PI Controller for Time-Delay Systems Introduction Methodology Controller Evolution Iterative Learning Control Results and Discussion Process Model Selection L- and Q-Filter Parameters Identification FOPDT Process Model SOPDT Process Model Summary Conclusion References Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus Introduction Modeling of DC Motors with a Fractional Order Design of Fractional Model Predictive Controller (FMPC) for DC Motor Model Checking the Robustness of the Response of the Fractional-Order Model Conclusion References Studying Fractional-Order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power System Introduction Concept Explanation Chosen Application Control Optimization Method Bubble Net Attacking Method Robust Tuning Performance Index Analysis Load Disturbance Approach—Scenario 1 Load Disturbance Approach—Scenario 2 Parameter Perturbation Approach Conclusions References Hardware Implementation of the Fractional Controller on Quadrotor Aircraft Introduction Preliminary Concepts Euler Angles Representation of 3D Rotation Quadrotor Body Dynamics Quadrotor Actuator Dynamics Quadrotor State-Space Model Quadrotor Linear Model Quadrotor Transfer Functions for Control Design Numeric Computation of Fractional-Order Blocks for Hardware Implementation Hardware Station Setup Hardware Experimentation Workflow Scheme Analysing Experimentation results Conclusions References Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control Introduction Mathematical Model of Quarter Car Model System Brief Design of FO-PID Controller Simulation Parameters Results and Discussions Conclusion References

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mehta u applied fractional calculus identification contr 2022