TY - GEN
T1 - Stabilization of switched linear uncertain stochastic systems
AU - Chang, Yufang
AU - Zhai, Guisheng
AU - Fu, Bo
AU - Xiong, Lianglin
N1 - Funding Information:
The authors would like to thank Mr. Ayato Hihara with Shibaura Institute of Technology for valuable discussion. This research has been supported in part by the Green Industry Leading Program of Hubei University of Technology (CPYF2017003), and the National Nature Science Fund of China (61601176, 41601394, 11601474).
Publisher Copyright:
© 2019 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2019/7
Y1 - 2019/7
N2 - We consider global quadratic stabilization in probability for switched systems which are composed of a finite set of linear uncertain stochastic subsystems with norm bounded uncertainties. Assuming that no single subsystem is globally quadratically stable in probability (GQS-P), we show that if a convex combination of subsystems is GQS-P, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is GQS-P. A numerical example is provided to show effectiveness of the proposed approach.
AB - We consider global quadratic stabilization in probability for switched systems which are composed of a finite set of linear uncertain stochastic subsystems with norm bounded uncertainties. Assuming that no single subsystem is globally quadratically stable in probability (GQS-P), we show that if a convex combination of subsystems is GQS-P, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is GQS-P. A numerical example is provided to show effectiveness of the proposed approach.
KW - Convex combination
KW - Globally quadratically stable in probability (GQS-P)
KW - LMIs
KW - Norm bounded uncertainties
KW - Output-dependent switching
KW - State-dependent switching
KW - Switched linear uncertain stochastic systems (SLUSS)
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U2 - 10.23919/ChiCC.2019.8865321
DO - 10.23919/ChiCC.2019.8865321
M3 - Conference contribution
AN - SCOPUS:85074393063
T3 - Chinese Control Conference, CCC
SP - 1784
EP - 1788
BT - Proceedings of the 38th Chinese Control Conference, CCC 2019
A2 - Fu, Minyue
A2 - Sun, Jian
PB - IEEE Computer Society
T2 - 38th Chinese Control Conference, CCC 2019
Y2 - 27 July 2019 through 30 July 2019
ER -