Abstract
We consider nonlinear uncertain control systems described by ordinary differential inclusions. Tracking or linearization, either in exact or asymptotic sense, is obtained through a differential inequality approach, by using variable structure control methods. Chattering is eliminated by suitable immersion of the original system, leading to ordinary or partial differential inequalities of the Hamilton-Jacobi type for the (state feedback) continuous control law. No assumption (like matching) is required on the uncertainty acting on the dynamic structure of the systems.
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© 1991 Springer Science+Business Media New York
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Bartolini, G., Zolezzi, T. (1991). Control of Deterministically Uncertain Systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_11
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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