Invariant set constructions for feasible reference tracking

Hichem Benlaoukli (1) , Sorin Olaru (1)

1 E3S - Supélec Sciences des Systèmes

Model predictive control strategy is based on the iterative resolution of a constrained optimization problem. In thsi context, the feasibility represents a central issue. The present paper concentrates on the use of the invariant sets to guarantee the feasibility of the predictive control law for reference tracking applications. In a first stage, two basic algorithms to approximate the maximal invariant set (MPI) will be presented. The first one proposes set iterations using a contraction procedure, while the second one uses an expansive construction. In a second stage, these procedures are adapted for the computation of feasible reference tracking (FRT) sets.

Domains: Automatic

Hichem Benlaoukli, Sorin Olaru. Invariant set constructions for feasible reference tracking. 2009 IEEE International Conference on Control and Automation (ICCA), Dec 2009, Christchurch, New Zealand. pp.972-977, ⟨10.1109/ICCA.2009.5410423⟩. ⟨hal-00418330⟩