- Title
- Global and semi-global stabilizability in certain cascade nonlinear systems
- Creator
- Braslavsky, J. H.; Middleton, R. H.
- Relation
- IEEE Transactions on Automatic Control Vol. 41, Issue 6, p. 876-881
- Publisher Link
- http://dx.doi.org/10.1109/9.506242
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 1996
- Description
- This paper addresses the issue of global and semi-global stabilizability of an important class of nonlinear systems, namely, a cascade of a linear, controllable system followed by an asymptotically (even exponentially) stable nonlinear system. Such structure may arise from the normal form of “minimum phase” nonlinear systems that can be rendered input-output linear by feedback. These systems are known to be stabilizable in a local sense. And, in some cases, global stabilizability results have also been obtained. It is also known, however, that when the linear “connection” to the nonlinear system is nonminimum phase, i.e,, it has zeros with positive real part, then global or semi-global stabilizability may be impossible. Indeed, it has been shown that for any given nonminimum phase linear subsystem, there exists an asymptotically stable nonlinear subsystem for which the cascade cannot be globally stabilized. We expand on the understanding of this area by establishing, for a broader class of systems, conditions under which global or semiglobal stabilization is impossible for linear and nonlinear feedback.
- Subject
- asymptotic stability; cascade systems; control system analysis; feedback; nonlinear systems; robust control
- Identifier
- http://hdl.handle.net/1959.13/937413
- Identifier
- uon:12563
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 1997 IEEE. Reprinted from IEEE Transactions on Automatic Control, Vol. 41, No. 6. 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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