DocumentCode
3445606
Title
The continual reachability set and its computation using maximal reachability techniques
Author
Kaynama, Shahab ; Oishi, Meeko ; Mitchell, Ian M. ; Dumont, Guy A.
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of British Columbia, Vancouver, BC, Canada
fYear
2011
fDate
12-15 Dec. 2011
Firstpage
6110
Lastpage
6115
Abstract
The continual reachability set, the set of initial states of a constrained dynamical system that can reach a target at any desired time, is introduced. The properties of this set are investigated and its connection with maximal reachability constructs is examined. Owing to this connection, efficient and scalable maximal reachability techniques can be used to compute the continual reachability set. An approximation of this set based on ellipsoidal techniques is presented. The results are demonstrated on a problem of control of anesthesia.
Keywords
approximation theory; nonlinear dynamical systems; reachability analysis; anesthesia control; constrained dynamical system; continual reachability set; ellipsoidal techniques; scalable maximal reachability techniques; Anesthesia; Approximation methods; Electron tubes; Ellipsoids; Kernel; Safety; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location
Orlando, FL
ISSN
0743-1546
Print_ISBN
978-1-61284-800-6
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2011.6161424
Filename
6161424
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