- Title
- Feedback limitations in nonlinear systems: from Bode integrals to cheap control
- Creator
- Seron, M. M.; Braslavsky, J. H.; Kototović, P. V.; Mayne, D. Q.
- Relation
- IEEE Transactions on Automatic Control Vol. 44, Issue 4, p. 829-833
- Publisher Link
- http://dx.doi.org/10.1109/9.754828
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 1999
- Description
- Feedback limitations of nonlinear systems are investigated using the cheap control approach. The main result is that in the limit, when the control effort is free, the smallest achievable L₂ norm of the output is equal to the least amount of control energy (L₂ norm) needed to stabilize the unstable zero dynamics. This nonlinear result is structurally similar to an earlier linear result by Qiu and Davison (1993), which, in turn, is connected with a Bode-type integral derived by Middleton (1991).
- Subject
- cheap optimal control; nonlinear systems; nonminimum phase systems; performance limitations; zero dynamics
- Identifier
- http://hdl.handle.net/1959.13/937402
- Identifier
- uon:12561
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 1999 IEEE. Reprinted from IEEE Transactions on Automatic Control. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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