Control of a Class of Constrained Implicit Systems

We consider the control of a class of implicit systems arising from discrete-event models for production or telecommunication systems. Such systems are subject to polyhedral constraints, and one is interested in the existence, the unicity, and the computation, of solutions respecting the constraints. Necessary and sufficient conditions are described, for the existence of a control law so that for the closed-loop systems, a unique solution exists, and a given polyhedron is invariant. Copyright © IFAC 2010