Calculation of constant output feedback matrices for pole placement by a gauss-newton method

Research output: Contribution to journalResearch articleContributedpeer-review



In this paper, the problem of pole placement by static output feedback is addressed. The systems under consideration are given by implicit linear time-invariant differential equations which are assumed to be completely controllable and observable. By means of an image representation of these systems, the pole placement problem can be easily formulated by a multilinear mapping. The application of an adapted Gauss-Newton method to the defining multilinear equations results in a very quickly converging algorithm. The performance of this algorithm is illustrated in detail on the well-known example of an inverted pendulum on a cart.


Original languageEnglish
Pages (from-to)225-230
Number of pages6
JournalControl and Intelligent Systems
Issue number3
Publication statusPublished - 11 Aug 2014

External IDs

ORCID /0000-0002-3347-0864/work/142255199



  • Descriptor system, Gauss-Newton method, Implicit system, Linear time-invariant system, Pole placement, Static output feedback