Hybrid static output feedback stabilization of two-dimensional LTI systems: a geometric method |
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| Authors: | G Zhai H Kondo J Imae T Kobayashi |
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| Affiliation: | 1. Department of Mechanical Engineering , Osaka Prefecture University , Sakai, Osaka 599-8531, Japan zhai@me.osakafu-u.ac.jp;3. Department of Adaptive Machine Systems , Osaka University , Suita, Osaka 565-0871, Japan;4. Department of Mechanical Engineering , Osaka Prefecture University , Sakai, Osaka 599-8531, Japan |
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| Abstract: | 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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