TY - JOUR
T1 - Hybrid static output feedback stabilization of two-dimensional LTI systems
T2 - A geometric method
AU - Zhai, G.
AU - Kondo, H.
AU - Imae, J.
AU - Kobayashi, T.
N1 - Funding Information:
The authors would like to thank Professor Anthony N. Michel with University of Notre Dame, Dr Bo Hu with Synopsys, Inc., and Professor Xuping Xu with Penn State Erie, for their valuable discussions that contributed to this paper. The first author has been supported in part by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (B) 15760320 & 17760356.
PY - 2006/8
Y1 - 2006/8
N2 - For two-dimensional linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we propose a hybrid stabilization strategy based on a geometric method. More precisely, we design two static output feedback gains and a switching law between the feedback gains so that the entire closed-loop system is asymptotically stable. The proposed switching law is composed of output-dependent switching and time-controlled switching. We demonstrate the hybrid control method with various examples for different cases.
AB - For two-dimensional linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we propose a hybrid stabilization strategy based on a geometric method. More precisely, we design two static output feedback gains and a switching law between the feedback gains so that the entire closed-loop system is asymptotically stable. The proposed switching law is composed of output-dependent switching and time-controlled switching. We demonstrate the hybrid control method with various examples for different cases.
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U2 - 10.1080/00207170600792974
DO - 10.1080/00207170600792974
M3 - Article
AN - SCOPUS:33745415265
SN - 0020-7179
VL - 79
SP - 982
EP - 990
JO - International Journal of Control
JF - International Journal of Control
IS - 8
ER -