TY - JOUR
T1 - Quadratic stabilization of switched uncertain linear systems
T2 - A convex combination approach
AU - Chang, Yufang
AU - Zhai, Guisheng
AU - Fu, Bo
AU - Xiong, Lianglin
N1 - Funding Information:
Manuscript received May 7, 2019; accepted July 10, 2019. This work was supported in part by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (C) (21560471), the Green Industry Leading Program of Hubei University of Technology (CPYF2017003), and the National Natural Science Foundation of China (11601474, 11461082). Recommended by Associate Editor Huaguang Zhang. (Corresponding author: Guisheng Zhai.) Citation: Y. F. Chang, G. Zhai, B. Fu, and L. L. Xiong, “Quadratic stabilization of switched uncertain linear systems: a convex combination approach,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 5, pp. 1116–1126, Sept. 2019.
Publisher Copyright:
© 2014 Chinese Association of Automation.
PY - 2019/9
Y1 - 2019/9
N2 - We consider quadratic stabilization for a class of switched systems which are composed of a finite set of continuous-time linear subsystems with norm bounded uncertainties. Under the assumption that there is no single quadratically stable subsystem, if a convex combination of subsystems is quadratically stable, then we propose a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable. When the state information is not available, we extend the discussion to designing an output-dependent switching law by constructing a robust Luenberger observer for each subsystem.
AB - We consider quadratic stabilization for a class of switched systems which are composed of a finite set of continuous-time linear subsystems with norm bounded uncertainties. Under the assumption that there is no single quadratically stable subsystem, if a convex combination of subsystems is quadratically stable, then we propose a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable. When the state information is not available, we extend the discussion to designing an output-dependent switching law by constructing a robust Luenberger observer for each subsystem.
KW - Convex combination
KW - limear matrix inequalities (LMIs)
KW - norm bounded uncertainties
KW - output-dependent switching
KW - quadratic stabilization
KW - state-dependent switching
KW - switched uncertain linear systems (SULS)
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U2 - 10.1109/JAS.2019.1911681
DO - 10.1109/JAS.2019.1911681
M3 - Article
AN - SCOPUS:85072194318
SN - 2329-9266
VL - 6
SP - 1116
EP - 1126
JO - IEEE/CAA Journal of Automatica Sinica
JF - IEEE/CAA Journal of Automatica Sinica
IS - 5
M1 - 8823574
ER -