Pole placement by static and dynamic output feedbackThis paper gives new results concerning pole-assignability by static and dynamic output feedback, based on the interpretation of transfer functions, feedback laws, poles and zeroes in terms of the incidence geometry of m-planes and p-planes in (m+p)-space. As an illustration of the most basic ideas, a short proof of the Brasch-Pearson theorem is given. A more careful analysis of this proof yields a significant extension of this theorem, which is considerably sharpened in the case of pole-assignment by constant gain output feedback. As a final application, a root-locus design technique for non-square systems is introduced: zero placement by pre- or post-compensation. This zero placement problem is then analyzed by methods similar to those developed for pole placement by output feedback.
Document ID
19840036279
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Byrnes, C. I. (Harvard University Cambridge, MA, United States)
Stevens, P. K. (Scientific Systems, Inc. Cambridge, MA, United States)