Open AccessRobustification of time varying linear quadratic optimal control based on output integral sliding modes
Author(s) -
GalvánGuerra Rosalba,
Fridman Leonid
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0095
Subject(s) - robustification , control theory (sociology) , integral sliding mode , observer (physics) , state observer , quadratic equation , sliding mode control , mode (computer interface) , state (computer science) , computer science , mathematics , control (management) , nonlinear system , algorithm , physics , process (computing) , artificial intelligence , geometry , quantum mechanics , operating system
A hierarchical observer for an uncertain linear time‐varying system is designed generalising the output integral sliding‐mode approach. The observer is based on a step by step reconstruction of the output and its derivatives, to reconstruct the state theoretically exactly right after the initial time, eliminating completely the effects of the uncertainties/perturbations. The observed state is used in linear quadratic control with an output integral sliding‐mode technique, allowing the uncertain system to behave as a nominal (uncertainties/perturbations free) one. The proposed approach is tested by computer simulations.