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
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);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2256691
