Title :
New LMI-based conditions for robust H2 performance analysis
Author :
Peaucelle, D. ; Arzelier, D.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Abstract :
This paper presents robust H2 performance analysis results for linear time invariant systems with real parametric uncertainty. New conditions based on parameter-dependent Lyapunov functions are proposed. The results encompass a wide variety of uncertain systems since an L(Σ, Δ)-type modelling of uncertainties is considered. In the particular case when the modelling reduces to affine polytopic uncertainty, three types of parameter-dependent Lyapunov functions are compared. Valuable conclusions are inferred from a numerical example
Keywords :
Lyapunov methods; continuous time systems; controllability; linear systems; matrix algebra; observability; optimal control; robust control; transforms; uncertain systems; Lyapunov functions; continuous time systems; controllability; linear fractional transform; linear matrix inequality; linear time invariant systems; observability; optimal control; parametric uncertainty; robust control; stability; uncertain systems; Constraint optimization; Cost function; Observability; Performance analysis; Robust control; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878892