Feedback limitations in nonlinear systems: from Bode integrals to cheap control
journal contribution
posted on 2025-05-11, 07:36 authored by Maria SeronMaria Seron, Julio BraslavskyJulio Braslavsky, P. V. Kototović, D. Q. MayneFeedback 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).
History
Journal title
IEEE Transactions on Automatic ControlVolume
44Issue
4Pagination
829-833Publisher
Institute of Electrical and Electronics Engineers (IEEE)Language
- en, English
College/Research Centre
Faculty of Engineering and Built EnvironmentSchool
School of EngineeringRights statement
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.Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC