Hybrid static output feedback stabilization of two-dimensional LTI systems: a geometric method

Authors: Zhai, G.¹; Kondo, H.²; Imae, J.¹; Kobayashi, T.¹

Source: International Journal of Control, Volume 79, Number 8, August 2006 , pp. 982-990(9)

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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.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170600792974

Affiliations: 1: Department of Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan 2: Department of Adaptive Machine Systems, Osaka University, Suita, Osaka 565-0871, Japan

Publication date: 2006-08-01

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