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Integral Sliding‐Mode Observation and Control for Switched Uncertain Linear Time Invariant Systems: a Robustifying Strategy
Author(s) -
GalvánGuerra Rosalba,
Fridman Leonid,
Iriarte Rafael,
VelázquezVelázquez JuanEduardo,
Steinberger Martin
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1661
Subject(s) - integral sliding mode , control theory (sociology) , algebraic number , observer (physics) , sliding mode control , minification , lti system theory , compensation (psychology) , mathematics , invariant (physics) , computer science , mathematical optimization , linear system , control (management) , nonlinear system , physics , mathematical analysis , artificial intelligence , psychology , quantum mechanics , psychoanalysis , mathematical physics
A robustifying methodology for switched systems with matched and unmatched uncertainties/perturbations and autonomous location transitions is presented. We avail of such methodology to design a control strategy based on integral sliding modes, thereby ensuring theoretically exact compensation of the matched uncertainties/perturbations and the minimization of the effects of the unmatched ones. An output integral sliding‐mode control technique, based on a switched algebraic hierarchical observer is also proposed. This approach allows the theoretically exact compensation of the matched uncertainties/perturbations right after the first moment. The proposed approach is illustrated via numerical simulations.