Uniquely connecting frequency domain representations of given order polynomial Wiener-Hammerstein systems

Automatica

Volumn 48, Issue 9, 2012, Pages 2381-2384

  Rijlaarsdam, David ^a,b   Oomen, Tom ^a   Nuij, Pieter ^a   Schoukens, Johan ^b   Steinbuch, Maarten ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Describing functions; Frequency response methods; Generalized frequency response function; Higher order sinusoidal input describing function; Nonlinear systems

Indexed keywords

ANALYTICAL RESULTS; COMPUTATIONAL PROCEDURES; FREQUENCY DOMAINS; FREQUENCY RESPONSE FUNCTIONS; FREQUENCY RESPONSE METHODS; GENERALIZED FREQUENCY RESPONSE FUNCTIONS; HIGHER ORDER SINUSOIDAL INPUT DESCRIBING FUNCTIONS; LINEAR DYNAMICS; ORDER POLYNOMIALS; SUFFICIENT CONDITIONS; WIENER-HAMMERSTEIN SYSTEM;

DESCRIBING FUNCTIONS; FAST FOURIER TRANSFORMS; FREQUENCY RESPONSE;

NONLINEAR SYSTEMS;

EID: 84865008421     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.06.006     Document Type: Article

References (12)

1. S. Billings, and K. Tsang Spectral analysis for non-linear systems, part i: parametric non-linear spectral analysis Mechanical Systems and Signal Processing 3 1989 319 339
2. P. Eykhoff System identification parameter and state estimation 1974 John Wiley & Sons
3. George, D. (1959). Continuous nonlinear systems. Technical report MIT. USA.
4. Z. Lang, S. Billings, R. Yue, and J. Li Output frequency response function of nonlinear Volterra systems Automatica 43 2007 805 816
5. P. Nuij, O. Bosgra, and M. Steinbuch Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses Mechanical Systems and Signal Processing 20 2006 1883 1904
6. A. Pavlov, A. Pogromsky, N. van de Wouw, and H. Nijmeijer Convergent dynamics, a tribute to Boris Pavlovich Demidovich Systems & Control Letters 52 2004 257 261
7. A. Pavlov, N. van de Wouw, and H. Nijmeijer Frequency response functions for nonlinear convergent systems IEEE Transactions on Automatic Control 52 2007 1159 1165
8. D. Rijlaarsdam, P. Nuij, J. Schoukens, and M. Steinbuch Frequency domain based nonlinear feed forward control design for friction compensation Mechanical Systems and Signal Processing 27 2011 551 562
9. D. Rijlaarsdam, P. Nuij, J. Schoukens, and M. Steinbuch Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions Automatica 47 2011 2684 2688
10. M. Schetzen The Volterra and Wiener theories of nonlinear systems 1980 John Wiley & Sons, Inc.
11. J. Schoukens, R. Pintelon, T. Dobrowiecki, and Y. Rolain Identification of linear systems with nonlinear distortions Automatica 41 2005 491 504
12. K. Shanmugam, and M.T. Jong Identification of nonlinear systems in frequency domain IEEE Transactions on Aerospace 11 1975 1218 1225