Analysis and synthesis of nonlinear control systems

dc.contributor.advisor Wolfgang Kliemann
dc.contributor.advisor Vijay Vittal Lin, Shan
dc.contributor.department Mathematics 2018-08-23T12:45:06.000 2020-06-30T07:10:41Z 2020-06-30T07:10:41Z Mon Jan 01 00:00:00 UTC 1996 1996
dc.description.abstract <p>In this dissertation, regular nonlinear control systems of the form .x=X0(x)+[sigma]spi=1m uiXi(x) are considered. Necessary and sufficient conditions are given for a point to be reached from one of its entire neighborhoods in finite time by a piece-wise analytic feedback controller. Under such a feedback controller, the domain of attraction of the point is maximal. In particular, necessary and sufficient conditions on stabilization of a point or a periodic orbit in two dimension flat space are given. Moreover, practical examples are discussed and some interesting results are derived. Finally, when one dimensional systems are considered, precise criteria for control, stabilization, and existence of invariant sets under large disturbances are given.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 12160
dc.identifier.contextkey 6435951
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/11161
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 18:43:49 UTC 2022
dc.subject.disciplines Electrical and Computer Engineering
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.subject.keywords Electrical and computer engineering
dc.subject.keywords Applied mathematics
dc.subject.keywords Electrical engineering (Communications and signal processing)
dc.subject.keywords Communications and signal processing
dc.title Analysis and synthesis of nonlinear control systems
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48 dissertation Doctor of Philosophy
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