Abstract:

The problem of disturbance decoupling by state feedback is considered for a linear singular system. Assumptions are introduced, and an algorithm developed. By using such an algorithm, a set of new coordinates can easily constructed, in which the system can be expressed in a simple form. A linear feedback law is then constructed which ensures, under appropriate conditions, that the closed loop system is regular, free of impulses, and its outputs are unaffected by disturbances. Sufficient and necessary conditions for solvability of (almost) disturbance decoupling are derived.

Key words: Singular systems, Disturbance decoupling, State feedback, Time_varying systems