Solving disturbance decoupling for singular systems by p&d-feedback and p&d-output injection

Abstract

Singular systems are an important class of systems from both point of view theoretical and practical. In this paper we analyze the problem of constructing feedbacks and/or output injections that suppress this disturbance in the sense that it does not affect the inputoutput behavior of the system and makes the resulting closed-loop system regular and of index at most one. All results are based on the canonical reduced forms that they can be computed using a complete system of invariants and can be implemented in a numerically stable way.