LEADER 06703nam 22007215 450 001 9910299696003321 005 20200701231013.0 010 $a3-319-12391-2 024 7 $a10.1007/978-3-319-12391-2 035 $a(CKB)3710000000360274 035 $a(SSID)ssj0001452089 035 $a(PQKBManifestationID)11801490 035 $a(PQKBTitleCode)TC0001452089 035 $a(PQKBWorkID)11479311 035 $a(PQKB)10773864 035 $a(DE-He213)978-3-319-12391-2 035 $a(MiAaPQ)EBC5588291 035 $a(Au-PeEL)EBL5588291 035 $a(OCoLC)904123047 035 $a(PPN)18449852X 035 $a(EXLCZ)993710000000360274 100 $a20150217d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFrequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion $eA Parametric Characteristic Approach /$fby Xingjian Jing, Ziqiang Lang 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XV, 331 p. 67 illus.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-12390-4 327 $a1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References. 330 $aThis book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain.  The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aComputational complexity 606 $aStatistical physics 606 $aAutomatic control 606 $aRobotics 606 $aMechatronics 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aControl, Robotics, Mechatronics$3https://scigraph.springernature.com/ontologies/product-market-codes/T19000 615 0$aComputational complexity. 615 0$aStatistical physics. 615 0$aAutomatic control. 615 0$aRobotics. 615 0$aMechatronics. 615 14$aComplexity. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aControl, Robotics, Mechatronics. 676 $a620 700 $aJing$b Xingjian$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720561 702 $aLang$b Ziqiang$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299696003321 996 $aFrequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion$92537119 997 $aUNINA