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Recent results on output feedback problemsGiven a real linear system sigma = (A, B, C) with m inputs, p outputs and degree n, the problem of generic pole placement by output feedback is studied, which is to compute the constant C(m,p) such that the inequality C(m,p) not less than n is necessary and sufficient for generically positioning the poles of the generic linear system by constant output feedback. A constant C prime (m,p) is determined, which gives a sufficient condition for generic pole placement and which, to the best of the author's knowledge, is at least as good an estimate of C(m,p) as any in the literature. Some results on the construction of solutions in case mp = n are announced, based on the degree formula of Brockett and Byrnes and the Galois theory. In particular, a question raised by Anderson, Bose, and Jury, on the existence of a rational procedure for computing the feedback law from the desired characteristic polynomial is answered.
Document ID
19820042048
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Byrnes, C. I.
(Harvard University Cambridge, MA, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
Cybernetics
Meeting Information
Meeting: Conference on Decision and Control
Location: Albuquerque, NM
Start Date: December 10, 1980
End Date: December 12, 1980
Accession Number
82A25583
Funding Number(s)
CONTRACT_GRANT: NSG-2265
CONTRACT_GRANT: NSF ENG-79-09459
Distribution Limits
Public
Copyright
Other

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