PUBLICATIONS - Technical Reports

Title:

State Feedback Dyadic Pole Assignment Methods: A Unification

Author:

M T Söylemez

Year:

1997

Report No:

Control Systems Centre Report 873

Place:

UMIST, Manchester, UK
Keywords: Pole Assignment, Output Feedback, Pole Retention

Abstract:

A new technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign $\min(n, \varphi)$ poles using this new method. Here $n$ is the order of the system, and

\begin{equation}
\varphi \triangleq \max(m,\ell) + \lfloor \frac{\max(m,\ell)}{2} \rfloor +
\ldots +
\lfloor \frac{\max(m,\ell)}{\min(m,\ell)} \rfloor
\notag
\end{equation}
where $m$ and $\ell$ are the number of inputs and outputs, respectively, and $\lfloor . \rfloor$ denotes the nearest integer lower than or equal to (ie. floor($.$)). Only the normal procedures of linear algebra are required to implement the technique. We note that $\varphi \geq m+\ell-1$, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem.
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