L2-Gain analysis of sliding mode dynamics

Topacio Osuna; Israel U. Ponce; Yury Orlov; Luis T. Aguilar

doi:10.1049/PBCE102E_ch2.3

L₂-Gain analysis of sliding mode dynamics

Topacio Osuna, Israel U. Ponce, Yury Orlov, Luis T. Aguilar

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

This chapter extends the L₂-gain analysis toward sliding mode dynamic systems. The developed analysis is applied to standard sliding mode algorithms of the first order and to the popular twisting and supertwisting algorithms of the second order. The above algorithms are shown to be capable of not only rejecting matched uniformly bounded disturbances but also attenuating unbounded ones, including unmatched disturbances. Numerical simulations are involved to support the theory. Experimental results on a DC motor with friction complement the chapter.

Original language	English
Title of host publication	Recent Trends in Sliding Mode Control
Publisher	Institution of Engineering and Technology
Pages	131-154
Number of pages	24
ISBN (Electronic)	9781785610776
ISBN (Print)	9781785610769
DOIs	https://doi.org/10.1049/PBCE102E_ch2.3
State	Published - 1 Jan 2016

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10.1049/PBCE102E_ch2.3

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L₂-Gain analysis of sliding mode dynamics

Abstract

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