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Nonlinear robust stabilization of multi-parameter families of systems

โœ Scribed by Bertina Ho-Mock-Qai

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
124 KB
Volume
45
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

We show that given any family of asymptotically stabilizable LTI systems depending continuously on a parameter that lies in some subset [a1; b1] ร— โ€ข โ€ข โ€ข ร— [ap; bp] of R p , there exists a C 0 time-varying state feedback law v(t; x) (resp. a C 0 time-invariant feedback law v(x)) which robustly globally exponentially stabilizes (resp. which robustly stabilizes, not asymptotically) the family. Further, if these systems are obtained by linearizing some nonlinear systems, then v(t; x) locally exponentially stabilizes these nonlinear systems. Finally, v(t; x) globally exponentially stabilizes any time-varying system which switches "slowly enough" between the given LTI systems.

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