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L2 Gain Stability of Switched Output Feedback Controllers for a Class of LTI Systems

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L2 Gain Stability of Switched Output Feedback Controllers for a Class of LTI Systems

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Author: Santarelli, K.R.; Dahleh, M.A.
Department: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Publisher: Institute of Electrical and Electronics Engineers
Date Issued: 2009-07
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.
URI: http://hdl.handle.net/1721.1/54767
ISSN: 0018-9286
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
Terms of Use: 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.
Published As: http://dx.doi.org/10.1109/tac.2009.2022096
Journal: IEEE Transactions on Automatic Control
Keywords: switching systems, output feedback, hybrid systems, L2 gain, Controller design

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