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
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;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161424
