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
fDate :
June 29 2011-July 1 2011
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;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5990740
