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Hasse diagram and dynamic feedback of linear systems. (English) Zbl 0826.93033
Bowers, Kenneth L. (ed.) et al., Computation and control III. Proceedings of the third Bozeman conference, Bozeman, MT, USA, August 5-11, 1992. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 15, 391-398 (1993).
Given the number of inputs, outputs and states of a linear system, the determination of the order of a dynamic compensator such that arbitrary poles placement is possible, is a problem with a long history. In [SIAM J. Control Optimization 32, 279-296 (1994; Zbl 0797.93018)], J. Rosenthal presented a formula for the number of complex dynamic feedback compensators of a given order that places the poles at a desired location. This formula is given in terms of the degree of some variety. Here the authors derive a simple procedure for calculating this degree.
For the entire collection see [Zbl 0809.00032].
Reviewer: H.Zwart (Enschede)
93B55 Pole and zero placement problems
93B27 Geometric methods
93C05 Linear systems in control theory