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Nonparametric System Identification


  • Page extent: 400 pages
  • Size: 253 x 177 mm
  • Weight: 0.99 kg


 (ISBN-13: 9780521868044)

Presenting a thorough overview of the theoretical foundations of non-parametric system identification for nonlinear block-oriented systems, this book shows that non-parametric regression can be successfully applied to system identification, and it highlights the achievements in doing so. With emphasis on Hammerstein, Wiener systems, and their multidimensional extensions, the authors show how to identify nonlinear subsystems and their characteristics when limited information exists. Algorithms using trigonometric, Legendre, Laguerre, and Hermite series are investigated, and the kernel algorithm, its semirecursive versions, and fully recursive modifications are covered. The theories of modern non-parametric regression, approximation, and orthogonal expansions, along with new approaches to system identification (including semiparametric identification), are provided. Detailed information about all tools used is provided in the appendices. This book is for researchers and practitioners in systems theory, signal processing, and communications and will appeal to researchers in fields like mechanics, economics, and biology, where experimental data are used to obtain models of systems.

• Mathematical techniques and fundamental information about the tools essential to the main text, are provided in the appendices to provide additional explanation without convoluting the core topics • Presents up-to-date results and examples to put the theory into a practical context • Has applications in many disciplines where experimental data is used to obtain models of systems, including systems theory, signal processing, communication, mechanical engineering, chemical engineering, biology and economics


1. Introduction; 2. Discrete-time Hammerstein systems; 3. Kernel algorithms; 4. Semi-recursive kernel algorithms; 5. Recursive kernel algorithms; 6. Orthogonal series algorithms; 7. Algorithms with ordered observations; 8. Continuous-time Hammerstein systems; 9. Discrete-time Wiener systems; 10. Kernel and orthogonal series algorithms; 11. Continuous-time Wiener system; 12. Other block-oriented nonlinear systems; 13. Multivariate nonlinear block-oriented systems; 14. Semiparametric identification; Appendices.


Review of the hardback: 'All chapters end with precise technical derivations of the presented material and bibliographical notes providing numerous references to the related literature … The monograph fills the gap in the system identification monographic literature dealing mainly with the parametric approach, and can be recommended for researchers and practitioners interested in system identification problems where a priori information is very limited and only experimental data can be reliably used to recover system models.' Zentralblatt MATH

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