Loop Transfer Recovery (LTR) by Output Feedback Control for Non-Minimum Phase Systems

Abstract

The main subject of this work is loop transfer recovery (LTR) for linear, time invariant, not necessarily right invertible and not necessarily minimum phase multivariable systems. Output feedback control is considered. LTR is applied, via Luenberger dual observer, when the loop is broken at the output pomt of the system. A special coordinate basis is utilized to demonstrate the necessary and sufficient conditions for exact recovery and asymptotic recovery for this structure. The shape of target loop plus the loop transfer recovery generate recuperable subspaces for non-minimum phase and not invertible systems. The structure of invariant and input output decoupling zeros is an important issue in this procedure. At the end of this work one example is presented.