TY - GEN
T1 - Quadratic stabilization and L2 gain analysis of switched affine systems
AU - Huang, Chi
AU - Zhai, Guisheng
AU - Li, Wenzhi
N1 - Funding Information:
This research has been supported by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (B) 15760320 & 17760356 and (C) 21560471. It has been jointly supported by the Research Project Supported by Shanxi Scholarship Council of China under Grant 2015-044, the Fundamental Research Project of Shanxi Province under Grant 2015021085.
Publisher Copyright:
© 2017 IEEE.
PY - 2017/7/12
Y1 - 2017/7/12
N2 - We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched system is quadratically stable. The result is also extended to L2 gain analysis under state feedback.
AB - We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched system is quadratically stable. The result is also extended to L2 gain analysis under state feedback.
KW - Convex combination
KW - L gain
KW - LMIs
KW - Output feedback
KW - Quadratic stabilization
KW - State feedback
KW - Switched affine systems
KW - Switching law
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U2 - 10.1109/CCDC.2017.7978848
DO - 10.1109/CCDC.2017.7978848
M3 - Conference contribution
AN - SCOPUS:85028071074
T3 - Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
SP - 2018
EP - 2023
BT - Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 29th Chinese Control and Decision Conference, CCDC 2017
Y2 - 28 May 2017 through 30 May 2017
ER -