@inproceedings{091ad0eae3474092a0cc579f44736326,
title = "On the transfer properties of second-order sliding mode control systems",
abstract = "A comprehensive approach to the input/output analysis of a class of secondorder sliding mode control (2-SMC) systems is developed. Linear SISO plants with the 'generalized suboptimal' 2-SMC algorithm are investigated. It is shown that in order to evaluate the properties of robustness against the presence of external perturbations the generalized suboptimal controller can be replaced by a proper constant gain, which is called 'equivalent gain' . The approximate DF method, and the theoretically exact LPRS method, are developed for computing the equivalent gain. It results from the presented analysis that the considered algorithm possesses an higher equivalent open-loop gain as compared to the standard relay. A thoroughly discussed worked example confirms the theoretical results and shows the feasibility of the presented procedures.",
keywords = "Linear systems, Robust control",
author = "Alessandro Pisano and Fridman, {Leonid M.} and Igor Boiko and Elio Usai",
note = "Funding Information: This work was supported in part by Mexican CONACyT (Consejo Nacional de Ciencia y Tecnologia), grants no. 43807-Y no. J110.418/2006, and Programa de Apoyo a Proyectos de Investigacion e Innovacion Tecnolgica (PA-PIIT) UNAM, grant no. 107006-2.; 17th World Congress, International Federation of Automatic Control, IFAC ; Conference date: 06-07-2008 Through 11-07-2008",
year = "2008",
doi = "10.3182/20080706-5-KR-1001.1320",
language = "British English",
isbn = "9783902661005",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
number = "1 PART 1",
booktitle = "Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC",
edition = "1 PART 1",
}