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Analysis of response of second‐order sliding mode controllers to external inputs in frequency domain
Author(s) -
Boiko Igor,
Castellanos Ivan,
Fridman Leonid
Publication year - 2007
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1206
Subject(s) - frequency domain , control theory (sociology) , nonlinear system , describing function , frequency response , mode (computer interface) , amplitude , harmonic , function (biology) , transfer function , phase (matter) , sliding mode control , time domain , domain (mathematical analysis) , computer science , mathematics , control (management) , engineering , acoustics , physics , mathematical analysis , optics , artificial intelligence , electrical engineering , quantum mechanics , evolutionary biology , computer vision , biology , operating system
Response of systems with the second‐order sliding‐mode (SOSM) control algorithms to an external harmonic excitation is analysed in the frequency domain. The analysis is done via application of the concept of the equivalent gain of a nonlinear function. The equivalent gain is used as a model of propagation of averaged values of signals through nonlinear elements of the system. Two SOSM algorithms: twisting and super‐twisting are analysed. The results are presented in the format of the conventional amplitude and phase frequency response. Copyright © 2007 John Wiley & Sons, Ltd.