Regulation of rectangular descriptor systems with constrained states and controls

The constrained regulation problem for a class of rectangular descriptor systems with constrained states and controls is considered in this paper. A dynamic compensator is designed to guarantee that resultant closed-loop singular systems are admissible, and have a prescribed positively invariant set. Our design approach first translates the regulation problem into that for square descriptor systems, and then the constrained regulation problem is solved by using the generalized inverse and a result (some modifications are done) obtained in [Internat. J. Systems Sci., 38, 689-698]. A numerical example shows the applicability of proposed approach.