Section: New Results

Constrained Control of Uncertain, Time-varying Linear Discrete-Time Systems Subject to Bounded Disturbances

Participants : Sorin Olaru [correspondent] , Nam Nguyen [Technion, Israel] , Per-Olof Gutman [Technion, Israel] , Morten Hovd [NTNU, Trondheim, Norway] .

In the paper [26] , robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition and propose a novel robust interpolation based control design involving several local unconstrained robust optimal controls. It is shown that at each time instant a quadratic programming problem is solved on-line for the implementation. Proofs of recursive feasibility and input-to-state stability are provided to support the theoretical foundation.