LEADER 03984nam 2200517 450 001 9910809263603321 005 20230809224931.0 010 $a3-11-049719-0 010 $a3-11-049797-2 024 7 $a10.1515/9783110497977 035 $a(CKB)3710000001418572 035 $a(MiAaPQ)EBC4895041 035 $a(DE-B1597)470239 035 $a(OCoLC)993064142 035 $a(OCoLC)999373946 035 $a(DE-B1597)9783110497977 035 $a(Au-PeEL)EBL4895041 035 $a(CaPaEBR)ebr11405474 035 $a(CaONFJC)MIL1017727 035 $a(EXLCZ)993710000001418572 100 $a20170726h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aFractional-order control systems $efundamentals and numerical implementations /$fDingyu? Xue 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (372 pages) $ccolor illustrations 225 0 $aFractional Calculus in Applied Sciences and Engineering,$x2509-7210 ;$vVolume 1 311 $a3-11-049999-1 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tForeword -- $tPreface -- $tContents -- $t1. Introduction to fractional calculus and fractional-order control -- $t2. Mathematical prerequisites -- $t3. Definitions and computation algorithms of fractional-order derivatives and integrals -- $t4. Solutions of linear fractional-order differential equations -- $t5. Approximation of fractional-order operators -- $t6. Modelling and analysis of multivariable fractional-order transfer function matrices -- $t7. State space modelling and analysis of linear fractional-order systems -- $t8. Numerical solutions of nonlinear fractional-order differential equations -- $t9. Design of fractional-order PID controllers -- $t10. Frequency domain controller design for multivariable fractional-order systems -- $tA. Inverse Laplace transforms involving fractional and irrational operations -- $tB. FOTF Toolbox functions and models -- $tC. Benchmark problems for the assessment of fractional-order differential equation algorithms -- $tBibliography -- $tIndex 330 $aThis book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms 606 $aAutomatic control$xMathematical models 615 0$aAutomatic control$xMathematical models. 676 $a629.8 700 $aXue$b Dingyu?$0633746 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809263603321 996 $aFractional-order control systems$93919950 997 $aUNINA