Regularity conditions for control problem with descriptor systems

Abstract

We present a practical method for solving the measurement feedback control problems with a desriptor standard control structure (SCS) through their transformation into problems with a state-space (SCS). We motivate by an example and define regularity conditions for descriptor SCS, and prove that the original descriptor SCS is regular if and only if the transformed by our algorithm state-space SCS is regular. The elaborated overall method for finding optimal controllers for descriptor systems simplifies all existing methods. Numerical examples are given, which illustrate the paper’s results.