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Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions

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2 Author(s)
Peaucelle, Dimitri ; LAAS-CNRS, Toulouse, France ; Arzelier, D.

Robust performance analysis for linear time-invariant systems with linear fractional transformation real parametric uncertainty is considered. New conditions of robust stability/performance based on parameter-dependent Lyapunov functions are proposed. The robust stability/performance measures are: robust pole location, robust H performance and robust H2 performance. Linear matrix inequality (LMI)-based sufficient conditions for the existence of parameter-dependent Lyapunov functions are derived by using the quadratic separation concept. The performances of the proposed conditions are compared with existing tests

Published in:

Automatic Control, IEEE Transactions on  (Volume:46 ,  Issue: 4 )