TY - GEN
T1 - Quadratic Stabilization of Switched Uncertain Linear Systems
AU - Chang, Yufang
AU - Fu, Bo
AU - Zhai, Guisheng
N1 - Funding Information:
This work has been supported in part by the Natural Science Foundation of Hubei Province (2016CFB512) and the Green Industry Leading Program of Hubei University of Technology (CPYF2017003).
Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/6
Y1 - 2018/7/6
N2 - We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.
AB - We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.
KW - LMIs
KW - Switched linear systems (SLS)
KW - convex combination
KW - norm bounded uncertainties
KW - output-dependent switching
KW - quadratic stabilization
KW - state-dependent switching
UR - http://www.scopus.com/inward/record.url?scp=85050868891&partnerID=8YFLogxK
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U2 - 10.1109/CCDC.2018.8407949
DO - 10.1109/CCDC.2018.8407949
M3 - Conference contribution
AN - SCOPUS:85050868891
T3 - Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
SP - 4727
EP - 4731
BT - Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 30th Chinese Control and Decision Conference, CCDC 2018
Y2 - 9 June 2018 through 11 June 2018
ER -