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Some remarks on static-feedback linearization for time-varying systems

✍ Scribed by Paulo Sérgio Pereira da Silva

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
879 KB
Volume
44
Category
Article
ISSN
0005-1098

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✦ Synopsis

This work summarizes some results about static state feedback linearization for time-varying systems. Three different necessary and sufficient conditions are stated in this paper. The first condition is the one by [Sluis, W. M. (1993). A necessary condition for dynamic feedback linearization. Systems & Control Letters, 21,[277][278][279][280][281][282][283]. The second and the third are the generalizations of known results due respectively to [Aranda-Bricaire, E., Moog, C. H., Pomet, J. B. (1995). A linear algebraic framework for dynamic feedback linearization. IEEE Transactions on Automatic Control, 40,[127][128][129][130][131][132] and to [Jakubczyk, B., Respondek, W. (1980). On linearization of control systems. Bulletin del'Academie Polonaise des Sciences. Serie des Sciences Mathematiques, 28,[517][518][519][520][521][522]. The proofs of the second and third conditions are established by showing the equivalence between these three conditions. The results are re-stated in the infinite dimensional geometric approach of [Fliess, M., Lévine J., Martin, P., Rouchon, P. (1999). A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Transactions on Automatic Control, 44(5),[922][923][924][925][926][927][928][929][930][931][932][933][934][935][936][937].

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