An Inclusion-based Approach for Determination of a Safe Maximal Output Admissible Set

This paper proposes a method for determining the Maximal Output Admissible Set (MOAS) based on the set-inclusion approach. In this regard, we have modified the set-equivalence algorithm that benefits from the set-inclusion operation to determine a safe set. The proposed algorithm is based on a new approach that requires intersecting just a few specified sets for checking inclusion. The major benefit of such a method is the complexity reduction of the optimization sequences in the partial sets' half-space representation. This technique allows to achieve reliable and safe iterations for the determination of the MOAS. Besides, this set-inclusion criterion can develop simpler approaches by using various representations of a set in future works. To guarantee that the algorithm terminates in a finite number of iterations, an inner approximation based on the tightened steady-state set has been presented.