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Calculation of constant output feedback matrices for pole placement by a Gauss-Newton method

: Franke, M.; Röbenack, K.


Control and intelligent systems 42 (2014), No.3, pp.225-230
ISSN: 1480-1752
ISSN: 1925-5810
Journal Article
Fraunhofer IIS, Institutsteil Entwurfsautomatisierung (EAS) ()

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.