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A new approach to the modelling uncertainty problem of systems described in state space form

  • Control Of Uncertain Dynamical Systems
  • Conference paper
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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

Modelling of systems is generally done by frequency response methods or state variable methods. It is our object to show how frequency domain robustness results can be extrapolated to their state space counterpart. Using properties of input-output relations of systems and different compatible norms we will show how a corresponding frequency response robustness result can be applied. The method can be used to solve a certain class of non linear equations. It can apply to the control of non linear multivariable systems in order to better stability, sensitivity as well as decentralized control results. It can also apply to assess the state feedback, the output feedback and the observer with regard to the robustnees problem.

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Authors and Affiliations

  1. Ecole de technologie supérieure, Université du Québec, 4750, rue Henri-Julien Case postale 1000, Succursale E, H2T 1RO, Montréal, Quēbec, Canada

    David Bensoussan

Authors
  1. David Bensoussan
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Austin Blaquiére

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© 1989 Springer-Verlag

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Bensoussan, D. (1989). A new approach to the modelling uncertainty problem of systems described in state space form. 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/BFb0041190

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  • DOI: https://doi.org/10.1007/BFb0041190

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50790-1

  • Online ISBN: 978-3-540-46087-9

  • eBook Packages: Springer Book Archive

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