Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results

نویسندگان

  • Dimitri Peaucelle
  • Alexander L. Fradkov
چکیده

Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. The contributions are based on the introduction of a parallel feed-forward shunt that liberates from the strong equality constraint PB = C G often used for strict passification. The shunt, combined with the introduction of slack variables, allows to conclude with easy to test conditions without restrictions on which data is uncertain in the process model. The resulting adaptive control is such that the control gain is bounded in a chosen set whatever bounded disturbances. Moreover, it proves to be not worse than computable parameter-dependent static output-feedback controls with respect to L2 gain attenuation. A simple academic example illustrates the results.

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عنوان ژورنال:
  • Systems & Control Letters

دوره 57  شماره 

صفحات  -

تاریخ انتشار 2008