Section: New Results

Interpolation-based design for constrained dynamical systems

Participants : Sorin Olaru, Nam Nguyen [IFP, France] , Per Olof Gutman [Technion, Israel] .

A technique is presented in [49] leading to an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided which not only guarantees recursive feasibility and robust asymptotic stability, but is also optimal for a region of the state space containing the origin.