DocumentCode
2845986
Title
Reach control on simplices by piecewise affine feedback
Author
Broucke, M.E. ; Ganness, M.
Author_Institution
Dept. of Electr. & Comput. En- gineering, Univ. of Toronto, Toronto, ON, Canada
fYear
2011
fDate
June 29 2011-July 1 2011
Firstpage
2633
Lastpage
2638
Abstract
We study the reach control problem for affine systems on simplices, and the focus is on cases when it is known that the problem is not solvable by continuous state feedback. Using the reach control indices for affine systems on simplices, we propose a subdivision algorithm and associated piecewise affine feedback. The main result is that if the reach control problem is solvable by open-loop controls, then it is solvable by piecewise affine feedback.
Keywords
affine transforms; open loop systems; reachability analysis; state feedback; two-dimensional digital filters; continuous state feedback; open loop control; piecewise affine feedback; reach control indices; subdivision algorithm; Indexes; Partitioning algorithms; Silicon; State feedback; Switches; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2011
Conference_Location
San Francisco, CA
ISSN
0743-1619
Print_ISBN
978-1-4577-0080-4
Type
conf
DOI
10.1109/ACC.2011.5990740
Filename
5990740
Link To Document