Abstract
In this paper we prove that any smooth (resp. analytic) strict feedforward system can be brought into its normal form via a smooth (resp. analytic) feedback transformation. This allows us to identify a subclass of strict feedforward systems, called systems in special strict feedforward form, shortly (SSFF), possessing a normal form which is a smooth (resp. analytic) counterpart of the formal Kang normal form. For (SSFF)-systems, the step-by-step normalization procedure leads to smooth (resp. convergent analytic) normalizing feedback transformations. We illustrate the class of (SSFF)-systems by a model of an inverted pendulum on a cart.
Keywords: Normal form, strict feedforward system, feedback transformations.
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Tall, I.A., Respondek, W. Smooth and Analytic Normal Forms: A Special Class of Strict Feedforward Forms. In: Meurer, T., Graichen, K., Gilles, E.D. (eds) Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems. Lecture Notes in Control and Information Science, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11529798_10
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DOI: https://doi.org/10.1007/11529798_10
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-27938-9
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