NDLI: Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers

Content Provider	IEEE Xplore Digital Library
Author	Inoue, M. Wada, T. Asai, T. Ikeda, M.
Copyright Year	2011
Description	Author affiliation: Administration Bureau, Osaka University, Suita, Japan (Ikeda, M.) \|\| Department of Mechanical Engineering, Graduate School of Engineering, Osaka University, Suita, Japan (Inoue, M.; Wada, T.; Asai, T.)
Abstract	This paper proposes non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. We consider state feedback and dynamic output feedback to make the states of the closed-loop systems decay non-exponentially.We first introduce a non-exponential stability concept that the state of a zero-input time-varying system converges to the origin with an upper bound provided by a specified function. Then, we give non-exponential stabilizability conditions and time-varying controllers to achieve the behavior defined by a desired upper bound function for the closed-loop system. By the proposed methods, we can realize various non-exponential behaviors, which may improve control performance.
Starting Page	4090
Ending Page	4095
File Size	180611
Page Count	6
File Format	PDF
ISBN	9781612848006
ISSN	07431546
e-ISBN	9781612848013
e-ISBN	9781612847993
DOI	10.1109/CDC.2011.6161487
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	State feedback Closed loop systems Output feedback Time varying systems Differential equations Asymptotic stability
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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