Nonlinear robust stabilization of multi-parameter families of systems |
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Authors: | Bertina Ho-Mock-Qai |
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Affiliation: | Ecole Nationale de l'Aviation Civile, 7 av E. Belin, BP 4005, 31055 Toulouse Cédex, France |
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Abstract: | We show that given any family of asymptotically stabilizable LTI systems depending continuously on a parameter that lies in some subset a1,b1]××ap,bp] of
, there exists a C0 time-varying state feedback law v(t,x) (resp. a C0 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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Keywords: | Robust stabilization Nonlinear feedback Multi-parameter families of systems |
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