Abstract
In this chapter we apply perturbation methods to analyze the trajectories of forced affine connection control systems. We consider two types of control signals: periodic, large-amplitude, high-frequency signals, which we refer to as oscillatory; and small-amplitude signals. For both classes of signals, we perform a perturbation analysis that predicts, with some specified level of accuracy, the behavior of the resulting forced affine connection system.
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© 2005 Springer Science+Business Media New York
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Bullo, F., Lewis, A.D. (2005). Perturbation analysis. In: Geometric Control of Mechanical Systems. Texts in Applied Mathematics, vol 49. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-7276-7_9
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DOI: https://doi.org/10.1007/978-1-4899-7276-7_9
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1968-7
Online ISBN: 978-1-4899-7276-7
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