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On robust control of uncertain linear systems in the absence of matching conditions

  • Control Of Uncertain Dynamical Systems
  • Conference paper
  • First Online:
Modeling and Control of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 121))

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Abstract

We establish a general robust control result for linear time-invariant uncertain systems using the Lyapunov approach initiated by Leitmann and Gutman. We show that systems satisfying matching conditions are handled by this result. We give necessary and sufficient conditions for the existence of a robust sliding mode controller. We show that its existence implies the existence of a robust linear controller. A counter example is provided to establish that the converse does not hold. The feedback controllers treated are functions of the complete state without any dynamic compensation.

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  1. Aerospace and Ocean Engineering Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia

    Harold Stalford

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  1. Harold Stalford
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Austin Blaquiére

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© 1989 Springer-Verlag

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Stalford, H. (1989). On robust control of uncertain linear systems in the absence of matching conditions. In: Blaquiére, A. (eds) Modeling and Control of Systems. Lecture Notes in Control and Information Sciences, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041184

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  • DOI: https://doi.org/10.1007/BFb0041184

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50790-1

  • Online ISBN: 978-3-540-46087-9

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