A Local Parameterization of the State‐Feedback Matrices in the Pole Assignment Problem
Abstract
ABSTRACT Given a controllable system , a local parameterization is obtained for the set of the feedback gain matrices such that the state matrix, , of the closed‐loop system is in a prescribed similarity class. It is shown that this set can be endowed with the structure of a differentiable manifold whose dimension is also computed. Then a local parameterization and a local system of coordinates are obtained using a diffeomorphism between this set of state‐feedback matrices and the orbit space of a set of truncated observability matrices via the action of a Lie group.
Fields of Study & Subjects
Stability and Control of Uncertain Systems
Control Systems and Identification
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- IET Control Theory and Applications
- Publisher
- Institution of Engineering and Technology (IET)
- Volume
- 20
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN