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Continuous sliding‐mode control for singular systems
Author(s) -
Hernández D.,
Fridman L.,
Golkani M.
Publication year - 2018
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.4094
Subject(s) - control theory (sociology) , lipschitz continuity , impulse (physics) , sliding mode control , compensation (psychology) , mode (computer interface) , inverted pendulum , mathematics , computer science , control (management) , mathematical analysis , nonlinear system , physics , artificial intelligence , psychology , quantum mechanics , psychoanalysis , operating system
Summary Singular systems with matched Lipschitz perturbations and uncertainties are considered in this paper. Since continuous solutions of an impulse‐free singular system require continuous input signals, a two‐step continuous sliding‐mode control strategy to compensate matched Lipschitz perturbations and uncertainties in singular systems is proposed. Our suggested methodology is tested in a singular representation of a DC motor pendulum of relative degree two. The performance of the proposed strategy is assessed by comparing the accuracy, in both cases, with and without considering small noise in the output, obtained through other continuous sliding‐mode control, and reconstruction/compensation of perturbations and uncertainties techniques.