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Systems with Large Modeling Uncertainty

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Switching in Systems and Control

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

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Abstract

This chapter is devoted to control problems for uncertain systems. Modeling uncertainty is typically divided into structured uncertainty (unknown parameters ranging over a known set) and unstructured uncertainty (un-modeled dynamics). When we say that the uncertainty is “large,” we usually refer to the structured uncertainty. Informally, this means that the parametric uncertainty set is so large that robust control design tools are inapplicable and thus an adaptive control approach is required. It is probably impossible to formally distinguish between an adaptive control law and a nonadaptive dynamic control law. However, one can in principle draw such a distinction if one knows how the control law in question was designed. To this end, the following circular “definition” is sometimes given: a control law is adaptive if it involves adaptation.

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© 2003 Springer Science+Business Media New York

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Liberzon, D. (2003). Systems with Large Modeling Uncertainty. In: Switching in Systems and Control. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0017-8_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0017-8_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6574-0

  • Online ISBN: 978-1-4612-0017-8

  • eBook Packages: Springer Book Archive

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