Limits on achievable robustness against coprime factor uncertainty
dc.contributor.author | Christian, Laura | en_US |
dc.contributor.author | Freudenberg, James S. | en_US |
dc.date.accessioned | 2006-04-10T17:48:33Z | |
dc.date.available | 2006-04-10T17:48:33Z | |
dc.date.issued | 1994-11 | en_US |
dc.identifier.citation | Christian, Laura, Freudenberg, Jim (1994/11)."Limits on achievable robustness against coprime factor uncertainty." Automatica 30(11): 1693-1702. <http://hdl.handle.net/2027.42/31238> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6V21-47WVR9F-10/2/ecce1f45334a0a7c5aac721f8cd22317 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/31238 | |
dc.description.abstract | We consider the problem of robustness optimization against normalized coprime factor uncertainty in single-input, single-output systems. We show that loop shapes known from classical analysis to be inconsistent with closed-loop robust stability will tend to have poor optimal robustness. Such loop shapes include those with a high crossover frequency relative to a nonminimum phase zero, a low crossover frequency relative to an unstable pole, or a rapid rolloff rate near gain crossover. Our results consist of a set of lower bounds on the optimal cost of the robustness optimization problem, each lower bound being appropriate to one of these three problematic loop shapes. The lower bounds are derived using the Poisson integral, and display the qualitative relationship between the loop shape and the level of optimal robustness. | en_US |
dc.format.extent | 809854 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Limits on achievable robustness against coprime factor uncertainty | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbsecondlevel | Industrial and Operations Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | EECS Department, University of Michigan, Ann Arbor MI 48109-2122, U.S.A. | en_US |
dc.contributor.affiliationother | MS NP-2L, P.O. Box 800, Princeton NJ 08543, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/31238/1/0000144.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0005-1098(94)90072-8 | en_US |
dc.identifier.source | Automatica | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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