Premium
Zero cancelling compensators for singular control problems and their application to the inner–outer factorization problem
Author(s) -
Copeland B. R.,
Safonov M. G.
Publication year - 1992
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590020205
Subject(s) - factorization , mathematics , pole–zero plot , zero (linguistics) , transfer function , control theory (sociology) , invariant (physics) , lti system theory , linear system , control (management) , mathematical analysis , computer science , algorithm , engineering , mathematical physics , linguistics , philosophy , electrical engineering , artificial intelligence
Many control problems fall into the category of what we call singular control problems, i.e., problems for which known solutions fail owing to the fact that the relevant transfer functions have zeros on the extended imaginary axis, 0e . An example of this is the inner–outer factorization (IOF) problem for such transfer functions. In this paper, we show how to design compensators which would allow for a direct solution to these problems through cancellation of the offending 0e zeros. This is demonstrated for the IOF problem mentioned above. Our interest lies primarily with infinite zeros but we develop formulae for finite 0e compensators as well. The paper also presents some discussions on the infinite zero structure of linear time‐invariant systems.