Pole placement using dynamic compensators

Abstract

A technique for t.he identificat.ion of linear systems," IEEE Trans.

Mathematica implementation of output-feedback pole assignment for uncertain systems via symbolic algebra

“…Since this is the final step, pole retention is no longer needed. There are two remaining poles to be assigned, thus k (2) contains no extra degrees of freedom. Therefore, k (2) is determined from equation (15) as In the above example, the general compensator obtained through the partial pole shows that all poles are successfully moved to the desired locations.…”

“…Pearson [2,8,9] found the relationship between the minimum order of the outputfeedback compensator and the controllability and observability indices. In addition,…”

Rational curves on Grassmannians: systems theory, reality, and transversality

“…When K is algebraically closed, the pole placement problem may be solved for q ≥ n − 1 [8] and q ≤ (n − mp)/(m + p − 1) is necessary [44] and sufficient [65] for generic systems. Thus for q large enough there exist stabilizing dynamic compensators.…”

Foundations of Feedback Theory for Nonlinear Dynamical Systems

“…[28,291) or a dynamical output feedback (see e.g. [30]) can stabllIze an unstable system; recently, Youla et. al.…”