The control-to-facet problem plays an important role in the design of feedback controllers for piecewise-affine hybrid systems on polytopes. In the litera- ture, necessary and sufficient conditions for solvability by static state feedback exist. In this paper, we extend these results to the case of continuous piecewise-affine out- put feedback. For the construction of a controller, a triangulation of the output polytope is made, that satisfies additional conditions, to guarantee compatibility with the induced subdivision of the state polytope. In the state feedback case, the use of this special type of triangulations was not required.
|Title of host publication
|Mathematical Theory of Networks and Systems (Proceedings 18th Symposium, MTNS 2008, Blacksburg VA, USA, July 28-August 1, 2008)
|Published - 2008