Abstract
The paper is concerned with the static state feedback theory for affine control systems. The problem is studied of the existence of structurally stable normal forms of affine systems under the feedback. Two such forms have been found directly and the existence of other structurally stable normal forms has been excluded, except for the case when the dimension of the state space exceeds the number of inputs by one. Approximate feedback groups are introduced as a basic working instrument. The action of the approximate feedback group of order 1 has been examined in very detail, and consequences derived for the class of bilinear systems.
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© 1989 Springer-Verlag
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Tchon, K. (1989). On normal forms of affine systems under feedback. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043014
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DOI: https://doi.org/10.1007/BFb0043014
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