Applied fractional calculus in identification and control / / Utkal Mehta, Kishore Bingi, Sahaj Saxena (editors)

• Record Nr.: UNINA9910592986703321
• Pubbl/distr/stampa: Singapore : , : Springer, , [2022]; ©2022
• ISBN: 981-19-3501-7
• Descrizione fisica: 1 online resource (212 pages)
• Collana: Studies in infrastructure and control
• Disciplina: 515.83
• Soggetti: Fractional calculus; Mathematical optimization; Control automàtic; Càlcul fraccional; Optimització matemàtica; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Contents -- About the Editors -- 1 Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function -- 1 Introduction -- 2 Katugampola Fractional Integral of a Multivariate Vector-Valued Function -- 3 Fractional Derivative of a Fractal Function -- 4 Conclusion -- References -- 2 Synchronization of Stochastic Fractional Chaotic Systems -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Examples -- 5 Conclusion -- References -- 3 Fractional-Order Comb Filter Design For Power-Line Interference Removal -- 1 Introduction -- 2 Background of Fractional-Order Filter Design -- 3 Proposed Approach for Fractional-Order Comb Filter -- 4 Design and Verification -- 5 Conclusions -- References -- 4 Practical Realization of Fractional-Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor -- 1 Introduction -- 2 Fractional-Order Notch Filter -- 3 Optimizing Filter Coefficients for Real-Time Implementation -- 4 Simulation and Experimental Study -- 5 Conclusions -- References -- 5 Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed ; Loop Bandwidth -- 1 Introduction -- 2 Controller Design -- 2.1 Process-1 -- 2.2 Process-2 -- 2.3 Evaluation of Controller Parameters -- 2.4 Solution Philosophy -- 2.5 Finding beta Subscript a Baseline element of normal upper Delta Subscript aβa inΔa -- 2.6 Finding beta Subscript b Baseline element of normal upper Delta Subscript bβb inΔb -- 3 Simulation Examples -- 3.1 Example-1 -- 3.2 Example-2 -- 4 Discussions and Conclusions -- References -- 6 Internal Model Control-Based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin -- 1 Introduction -- 1.1 Motivation to Not Approximating the Delay Term in IMC -- 2 Internal Model Controller.; 2.1 upper A Subscript mAm and phi Subscript mφm Specifications -- 2.2 Design Philosophy -- 2.3 Finding omega Subscript p Baseline element of normal upper Xi Subscript aωpinΞa -- 2.4 Finding omega Subscript g Baseline element of normal upper Xi Subscript bωg inΞb -- 2.5 Disturbance Rejection Analysis -- 2.6 Algorithm for Determining FO-IMC Controller Parameters -- 3 Simulation Studies and Experimental Validation -- 3.1 Example-I -- 3.2 Example-II -- 3.3 Example-III -- 3.4 Experimental Validation -- 4 Discussion and Conclusion -- References -- 7 Novel Hybrid Iterative Learning-Fractional Predicative PI Controller for Time-Delay Systems -- 1 Introduction -- 2 Methodology -- 2.1 Controller Evolution -- 2.2 Iterative Learning Control -- 3 Results and Discussion -- 3.1 Process Model Selection -- 3.2 L- and Q-Filter Parameters Identification -- 3.3 FOPDT Process Model -- 3.4 SOPDT Process Model -- 3.5 Summary -- 4 Conclusion -- References -- 8 Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus -- 1 Introduction -- 2 Modeling of DC Motors with a Fractional Order -- 3 Design of Fractional Model Predictive Controller (FMPC) for DC Motor Model -- 4 Checking the Robustness of the Response of the Fractional-Order Model -- 5 Conclusion -- References -- 9 Studying Fractional-Order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power System -- 1 Introduction -- 2 Concept Explanation -- 2.1 Chosen Application -- 3 Control Optimization Method -- 3.1 Bubble Net Attacking Method -- 3.2 Robust Tuning Performance Index -- 4 Analysis -- 4.1 Load Disturbance Approach-Scenario 1 -- 4.2 Load Disturbance Approach-Scenario 2 -- 4.3 Parameter Perturbation Approach -- 5 Conclusions -- References -- 10 Hardware Implementation of the Fractional Controller on Quadrotor Aircraft -- 1 Introduction.; 2 Preliminary Concepts -- 3 Euler Angles Representation of 3D Rotation -- 4 Quadrotor Body Dynamics -- 5 Quadrotor Actuator Dynamics -- 6 Quadrotor State-Space Model -- 7 Quadrotor Linear Model -- 8 Quadrotor Transfer Functions for Control Design -- 9 Numeric Computation of Fractional-Order Blocks for Hardware Implementation -- 10 Hardware Station Setup -- 10.1 Hardware Experimentation Workflow Scheme -- 11 Analysing Experimentation results -- 12 Conclusions -- References -- 11 Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control -- 1 Introduction -- 2 Mathematical Model of Quarter Car Model System -- 3 Brief Design of FO-PID Controller -- 4 Simulation Parameters -- 5 Results and Discussions -- 6 Conclusion -- References.