WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
Pole Assignment With Static Output Feedback using Algebrogeometric
Methods
Authors: , , ,
Abstract: In this article a solution to the pole assignment problem with output feedback is proposed. Necessary
and sufficient conditions are derived which are related to the controllability or observability of the initial system.
These arise from the solution of the state-feedback problem using the output or input matrix of the system. For the
initial open loop system a new matrix is calculated such that under output feedback the new closed loop system has
the desired poles. In the proposed approach, multilineal algebra, algebraic geometry and the theory of generalized
inverse matrices are employed. An illustrative example of the proposed method is also given. The main advantage
of our approach is that it can be used to derive an algorithm which generates the whole family of output feedback
matrices with the required specifications, while avoiding the use of transfer functions.
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Keywords: Control Theory, Pole assignment, Output feedback, Controllability, Observability, Generalized
inverse matrix
Pages: 64-71
DOI: 10.37394/23203.2025.20.8