000 05381nam a2200361 i 4500
008 100428s2010 si a b 001 0 eng d
020 _a9789814304191
020 _a9814304190
035 _a(OCoLC)609931467
_z(OCoLC)503072447
040 _aSINLB
_beng
_cSINLB
_dBTCTA
_dYDXCP
_dUKM
_dBWX
_dTEF
_dCUS
_dTXA
_dDAY
_dBAUN
_erda
049 _aBAUN_MERKEZ
050 0 4 _aQC20.7.F75
_bF73 2010
082 0 4 _222
245 0 0 _aFractional order systems :
_bmodeling and control applications /
_cRiccardo Caponetto ... [and others].
264 1 _aSingapore ;
_aHackensack, NJ :
_bWorld Scientific,
_c[2010]
264 4 _c©2010
300 _axxi, 178 pages :
_billustrations ;
_c23 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aWorld Scientific series on nonlinear science. Series A, Monographs and treatises ;
_vv. 72
504 _aIncludes bibliographical references (pages 167-175) and index.
505 0 0 _tContents
_t Preface
_t Acknowledgments
_t List of Figures
_t List of Tables
_t1. Fractional Order Systems
_t 1.1 Fractional Order Differintegral Operator: Historical Notes
_t 1.2 Preliminaries and Definitions
_t 1.3 Laplace Transforms and System Representation
_t 1.4 General Properties of the Fractional System
_t 1.5 Impulse Response of a General Fractional System
_t 1.6 Numerical Methods for Calculation of Fractional Derivatives and Integrals
_t 1.7 Fractional LTI Systems
_t 1.8 Fractional Nonlinear Systems
_t 1.9 Stability of Fractional LTI Systems
_t 1.10 Stability of Fractional Nonlinear Systems
_t2. Fractional Order PM Controller and their Stability Regions Definition
_t 2.1 Introduction
_t 2.2 Problem Characterization
_t 2.3 Theory for Analyzing Systems with Time Delays
_t 2.3.1 Hermite-Biehler Theorem
_t 2.3.2 Pontryagin Theorem
_t 2.4 Stability Regions with PIλ Dμ Controller
_t 2.5 Results
_t3. Fractional Order Chaotic Systems
_t 3.1 Introduction
_t 3.2 Concept of Chua's System
_t 3.2.1 Classical Chua's Oscillator
_t 3.2.2 Chua-Hartley's Oscillator
_t 3.2.3 Chua-Podlubny's Oscillator
_t 3.2.4 New Fractional-Order Chua's Oscillator
_t 3.3 Fractional-Order Van der Pol Oscillator
_t 3.4 Fractional-Order Duffing's Oscillator
_t 3.5 Fractional-Order Lorenz's System
_t 3.6 Fractional-Order Genesio-Tesi System
_t 3.7 Fractional-Order Lu's System
_t 3.8 Fractional-Order Rossler's System
_t 3.9 Fractional-Order Newton-Leipnik System
_t 3.10 Fractional-Order Lotka-Volterra System
_t 3.11 Concept of Volta's System
_t 3.11.1 Integer-Order Volta's System
_t 3.11.2 Fractional-Order Volta's System
_t4. Field Programmable Gate Array Implementation
_t 4.1 Numerical Fractional Integration
_t 4.2 Griinwald-Letnikov Fractional Derivatives
_t 4.3 The "Short-Memory" Principle
_t 4.4 FPGA Hardware Implementation
_t 4.4.1 FPGA Introduction
_t 4.4.2 Remarks on the Fractional Differintegral Operator
_t 4.4.3 FPGA Implementation of the Fractional Differintegral Operator
_t5. Microprocessor Implementation and Applications
_t 5.1 Introduction
_t 5.2 Fractional Controller Realized by PIC Processor
_t 5.2.1 Fractional-Order Integrator
_t 5.2.2 Measured Results
_t 5.3 Temperature Control of a Solid by PC and PCL 812
_t 5.3.1 Model of Controlled System
_t 5.3.2 Controller Parameters Design and Implementation
_t 5.3.3 Experimental Setup and Results
_t 5.4 Temperature Control of a Heater by PLC BR 2005
_t 5.4.1 Model of Controlled System
_t 5.4.2 Controller Parameters Design and Implementation
_t 5.4.3 Experimental Setup and Results
_t 5.5 Concluding Remarks
_t6. Field Programmable Analog Array Implementation
_t 6.1 The FPAAs Development System
_t 6.2 Experimental Results
_t7. Switched Capacitor Integrated Circuit Design
_t 7.1 Introduction
_t 7.2 Passive and Active Filters
_t 7.3 Switched Capacitors Filters
_t 7.4 Design of Sampled Data Filters
_t 7.4.1 The Impulse Invariance Method
_t 7.4.2 The Matched-z Transformation Method
_t 7.4.3 Backward Euler Approximation of Derivatives
_t 7.4.4 Forward Euler Approximation of Derivatives
_t 7.4.5 The Bilinear Transformation Method
_t 7.4.6 The Lossless Discrete Integrator Transformation
_t 7.5 Switched Capacitor Fundamental Circuits
_t 7.5.1 Resistor Realized by Backward Euler Transformation
_t 7.6 Circuital Implementation of the Fractional Order Integrator
_t 7.7 Switched Capacitors Implementation of Fractional Order Integrator
_t 7.8 Results
_t8. Fractional Order Model of IPMC
_t 8.1 Fractional Model Identification Introduction
_t 8.2 Ionic Polymer Metal Composites (IPMC)
_t 8.3 Actuation Mechanism on IPMCs
_t 8.4 State-of-the-Art for IPMC Models
_t 8.5 Experimental Setup
_t 8.6 Marquardt Algorithm for the Least Squares Estimation
_t 8.7 Fractional Models for IPMC Actuators
_t 8.7.1 Comparison Between an Integer Model and a Fractional Model of IPMC Actuators
_t 8.7.2 Fractional Models for the Electrical and Electromechanical Stages of IPMC Actuators
_t Bibliography
_t Index
650 0 _aFractional calculus.
650 0 _aMathematical physics.
650 0 _aPID controllers
_xMathematical models.
650 0 _aField programmable gate arrays
_xMathematical models.
700 1 _aCaponetto, R.
_q(Riccardo),
_d1966-
830 0 _948428
_aWorld Scientific series on nonlinear science.
_nSeries A.
_pMonographs and treatises ;
_vv. 72.
900 _a30913
900 _bsatın
942 _2lcc
_cKT
999 _c27726
_d27726