STRONG DECOUPLING OF DESCRIPTOR SYSTEMS VIA PROPORTIONAL STATE-FEEDBACK

The problem of strong input-output decoupling by proportional state fe edback is considered for linear descriptor systems. The resulting syst em is required to be regular, with a diagonal transfer function matrix and an impulse-free response. The problem is solved in two steps. Fir st, a generalized structure algorithm is used to regularize the system . Then, another algorithm is proposed which produces a sequence of int egers. These integers are invariant under restricted system equivalenc e and regular proportional state feedback. The second algorithm provid es a condition for existence as well as a procedure for construction o f a decoupling feedback law.