A Study of Decoupling Conditions for Descriptor Systems

Disturbance decoupling for descriptor systems by measurement feedback

Disturbance decoupling for descriptor systems by behavioral feedback

We study disturbance decoupling for linear descriptor systems. Compared to previous approaches, where state feedback is used, we use the concept of behavioral feedback which allows to study a larger class of systems. We derive geometric characterizations for solvability of the disturbance decoupling problem following the classical approach. Exploiting the freedom in the choice of the behavioral...

Disturbance Decoupling for Descriptor Systems by State Feedback

We study the disturbance decoupling problem for linear time invariant descriptor systems. We give necessary and suucient conditions for the existence of a solution to the disturbance decoupling problem with/without stability via a proportional and/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively ba...

Disturbance decoupling problem for a class of descriptor systems with delay via systems over rings

In recent years, a considerable amount of research has been devoted to linear time-invariant descriptor systems (called also singular or differential–algebraic) and to delay differential systems because of their extensive applications. The presence of time delays, in fact, arises in various technical systems, such as electric, pneumatic and hydraulic networks, chemical processes, long transmiss...

Strong decoupling of descriptor systems via proportional state feedback