Describing functions, Volterra series, and the analysis of non-linear systems in the frequency domain
作者： J. C. PEYTON JONES , S. A. BILLINGS
DOI: 10.1080/00207179108953654
关键词:
摘要: A relationship between the higher-order frequency response functions of Volterra series model and well-known describing function representation for non-linear systems is derived. It shown that a large class generalized can be derived from this approach removes restriction to specific inputs. The concept worst case transfer introduced, examples are included illustrate results.
sci-hub.se 参考文章(5)
Wallace Earl Vander Velde, Arthur Gelb, Multiple-Input Describing Functions and Nonlinear System Design ,(1968)
Vito Volterra, Theory of Functionals and of Integral and Integro-Differential Equations ,(2005)
S. A. BILLINGS, J. C. PEYTON JONES, Mapping non-linear integro-differential equations into the frequency domain International Journal of Control. ,vol. 52, pp. 863- 879 ,(1990) , 10.1080/00207179008953572
D. P. Atherton, George M. Siouris, Nonlinear Control Engineering IEEE Transactions on Systems, Man, and Cybernetics. ,vol. 7, pp. 567- 568 ,(1977) , 10.1109/TSMC.1977.4309773
J. C. PEYTON JONES, S. A. BILLINGS, Interpretation of non-linear frequency response functions International Journal of Control. ,vol. 52, pp. 319- 346 ,(1990) , 10.1080/00207179008953539