Pole Placement by Static Output Feedback for Generic Linear Systems

Pole Placement by Static Output Feedback for Generic Linear Systems

We consider linear systems withm inputs, p outputs and McMillan degree n, such that n = mp. If both m and p are even, we show that there is a non-empty open (in the usual topology) subset U of such systems, where the real pole placement map is not surjective. It follows that for each system in U , there exists an open set of pole configurations, symmetric with respect to the real line, which ca...

Mismatching Problem between Generic Pole-assignabilities by Static Output Feedback and Dynamic Output Feedback in Linear Systems

In this paper, it is clearly shown that the two well-known necessary and sufficient conditions mp ≥ n as generic static output feedback pole-assignment and mp + d(m+p) ≥ n+d as generic minimum d-th order dynamic output feedback pole-assignment on complex field , unbelievably, do not match up each other in strictly proper linear systems. For the analysis, a diagram analysis is newly created (whi...

Counterexamples to pole placement by static output feedback

We consider linear systems with inner state of dimension n, with m inputs and p outputs, such that n = mp, min{m,p} = 2 and max{m, p} is even. We show that for each (m,n, p) satisfying these conditions, there is a non-empty open subset U of such systems, where the real pole placement map is not surjective. It follows that for systems in U , there exist open sets of pole configurations which can...

Adaptive fuzzy pole placement for stabilization of non-linear systems

A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...

Output Feedback Pole Placement: A Best Linear Condition