NDLI: Decentralized non-overshooting stabilization

Content Provider	IEEE Xplore Digital Library
Author	Alavian, A. Rotkowitz, M.
Copyright Year	2015
Description	Author affiliation: Inst. for Syst. Res., Univ. of Maryland, College Park, MD, USA (Rotkowitz, M.) \|\| Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA (Alavian, A.)
Abstract	In this paper we study the stabilization of systems with decentralized controllers, when the stability criterion of interest is “non-overshooting stability”. This criterion is stronger than those which have typically been studied, particularly for decentralized control, and requires that the size of the state is always decreasing. We identify a key property which allows centralized results for this type of stability to be extended, and this property indeed holds for the most common classes of decentralized control problems. This enables us to determine that stabilizability with respect to static controllers is equivalent to stabilizability with respect to dynamic controllers, and to derive a linear matrix inequality (LMI) which either synthesizes a stabilizing controller or produces a certificate of non-stabilizability. We then compare these results with those for internal state stability, i.e., fixed modes.
Starting Page	4785
Ending Page	4790
File Size	233033
Page Count	6
File Format	PDF
e-ISBN	9781479986842
DOI	10.1109/ACC.2015.7172083
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Asymptotic stability Stability criteria Decentralized control Linear systems Trajectory Lyapunov methods Computers
Content Type	Text
Resource Type	Article

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