TY - GEN
T1 - Quadratic Stabilization of Uncertain Switched Affine Systems
T2 - 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
AU - Zhai, Guisheng
AU - Li, Wenzhi
AU - Huang, Chi
AU - Xiao, Minqing
N1 - Funding Information:
This research has been supported in part by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (C) 21560471, Shanxi Scholarship Council of China under Grant 2015-044, the Fundamental Research Project of Shanxi Province under Grant 2015021085, and the National Science Foundation of China under Grant 61603268.
Publisher Copyright:
© 2018 The Society of Instrument and Control Enginners - SICE.
PY - 2018/10/15
Y1 - 2018/10/15
N2 - This paper investigates quadratic stabilization of switched systems which are composed of uncertain affine subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem is quadratically stable. We show that if a linear convex combination of subsystem linear parts satisfies a convex stabilizability and robust detectability condition, and another convex combination of affine vectors is zero, then we design an output-dependent switching law such that the entire uncertain switched affine system is quadratically stable. The discussion is extended to the case of designing output feedback and switching laws simultaneously.
AB - This paper investigates quadratic stabilization of switched systems which are composed of uncertain affine subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem is quadratically stable. We show that if a linear convex combination of subsystem linear parts satisfies a convex stabilizability and robust detectability condition, and another convex combination of affine vectors is zero, then we design an output-dependent switching law such that the entire uncertain switched affine system is quadratically stable. The discussion is extended to the case of designing output feedback and switching laws simultaneously.
KW - Convex combination
KW - LMIs
KW - Norm bounded uncertainties
KW - Output feedback
KW - Quadratic stabilization
KW - Switched affine systems (SAS)
KW - Switching law
UR - http://www.scopus.com/inward/record.url?scp=85056742874&partnerID=8YFLogxK
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U2 - 10.23919/SICE.2018.8492608
DO - 10.23919/SICE.2018.8492608
M3 - Conference contribution
AN - SCOPUS:85056742874
T3 - 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
SP - 362
EP - 367
BT - 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 11 September 2018 through 14 September 2018
ER -