DocumentCode
6198
Title
Monotonic Reach Control on Polytopes
Author
Helwa, M.K. ; Broucke, Mireille E.
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
Volume
58
Issue
10
fYear
2013
fDate
Oct. 2013
Firstpage
2704
Lastpage
2709
Abstract
The technical note studies the problem of making the trajectories of an affine system defined on a polytopic state space reach a prescribed facet of the polytope in finite time without first leaving the polytope. The focus is on solvability by continuous piecewise affine feedback, and we formulate a variant of the problem in which trajectories exit in a monotonic sense. This allows to obtain necessary and sufficient conditions for solvability in certain geometric situations.
Keywords
computability; continuous time systems; control system synthesis; piecewise linear techniques; state-space methods; MRCP; afIine system; continuous piecewise afIine feedback; finite time; monotonic reach control problem; necessary and sufficient condition; polytopic state space; solvability; Aerospace electronics; Face; Indexes; Pricing; State feedback; Trajectory; Vectors; Hybrid systems; piecewise affine control; reach control problem (RCP);
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2256691
Filename
6493398
Link To Document