L2 Gain Stability of Switched Output Feedback Controllers for a Class of LTI Systems
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Santarelli-2009-L2 Gain Stability of.pdf
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Author(s)
Dahleh, Munther A.
Santarelli, Keith R.
Date Issued
July 2009
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers
Citation
Santarelli, K.R., and M.A. Dahleh. “L2 Gain Stability of Switched Output Feedback Controllers for a Class of LTI Systems.” Automatic Control, IEEE Transactions on 54.7 (2009): 1504-1514. © 2009 IEEE
Version
Final published version
Abstract
Our previous work has been devoted to designing asymptotically stabilizing switching controllers for a class of second order LTI plants. Here, we extend the results of our previous work by proving that, when a plant can be asymptotically stabilized using a particular switching architecture, the overall closed-loop interconnection is also finite L2 gain stable. We shall first prove this result for a simplified problem in which a portion of the switching architecture has full access to the state of the plant and shall then extend to the case where the architecture only has access to the plant output by designing an appropriate observer.
Subjects
switching systems
output feedback
hybrid systems
L2 gain
Controller design
MIT Department
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1109/tac.2009.2022096
