FILTRATIONS IN FEEDBACK SYNTHESIS - PART II - INPUT-OUTPUT DECOUPLINGAND DISTURBANCE DECOUPLING

The input-output decoupling problem and the disturbance decoupling pro blem are solved using the general feedback setting introduced in E. De laleau and P.S. Pereira da Silva, Filtrations in feedback synthesis: P art I - Systems and feedbacks, Forum Math. 10 (1998) 147-174. Necessar y and sufficient rank conditions are supplied, showing that endogenous stale feedback is sufficiently general in order to solve these proble ms for generalized dynamics. The definitions of feedback of the first part of the paper are extended for considering the disturbed case, i.e ., the case where dynamics are influenced by disturbances. For classic al dynamics, most commonly considered in the literature, quasi-static state feedback is in fact rich enough for solving these problems. This kind of feedback, which is in between the static and the general dyna mic feedback, does not require the integration of any differential equ ation.