NDLI: Asymptotically reachable states and related symmetry in systems theory

Content Provider	IEEE Xplore Digital Library
Author	Paden, B. Sze Zheng Yong Frazzoli, E.
Copyright Year	2015
Description	Author affiliation: Lab. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA (Paden, B.; Sze Zheng Yong; Frazzoli, E.)
Abstract	In executing state-to-state maneuvers, end states which are stabilizable states provide for robust maneuver control. In the normal circumstance that a maneuver only takes the system to a neighborhood of a stabilizable state, feedback control can be used to regulate to a neighborhood of the desired end state. In contrast, if the end state is not a stabilizable state, large try-again maneuvers which cannot be bounded by the terminal tracking error of the prior maneuver are often required in the event of a near miss. In this paper it is shown that the subspace of stabilizable states for a linear stabilizable system is the intersection of the reachable subspace and a particular controlled invariant subspace we call the constant state subspace. The stabilizable states are also the states which can be approached asymptotically with appropriate choice of control, and we use this characterization as our definition of stabilizable states.
Starting Page	2856
Ending Page	2861
File Size	464481
Page Count	6
File Format	PDF
e-ISBN	9781479986842
DOI	10.1109/ACC.2015.7171168
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	Trajectory Linear systems Feedback control Target tracking Controllability Aerospace electronics Helicopters
Content Type	Text
Resource Type	Article

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