Title :
Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions
Author :
Peaucelle, Dimitri ; Arzelier, Denis
Author_Institution :
LAAS-CNRS, Toulouse, France
fDate :
4/1/2001 12:00:00 AM
Abstract :
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
Keywords :
H∞ control; Lyapunov methods; linear systems; matrix algebra; pole assignment; robust control; uncertain systems; LMI-based methods; linear fractional transformation; linear matrix inequality-based sufficient conditions; linear time-invariant systems; parameter-dependent Lyapunov functions; quadratic separation concept; real parametric uncertainty; robust H∞ performance; robust H2 performance; robust performance analysis; robust pole location; robust stability; Linear matrix inequalities; Lyapunov method; Performance analysis; Performance evaluation; Robust stability; Robustness; Sufficient conditions; Testing; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
