Title :
A Gramian-Based Approach to Model Reduction for Uncertain Systems
Author :
Li, Li ; Petersen, Ian R.
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.
Keywords :
Riccati equations; observability; uncertain systems; controllability Gramians; model reduction approaches; observability Gramians; parameterized algebraic Riccati inequalities; structured norm bounded uncertainty; uncertain systems; Australia; Controllability; Linear matrix inequalities; Observability; Reduced order systems; Riccati equations; Robust control; Robustness; Uncertain systems; Uncertainty; Linear fractional transformation; linear matrix inequality; model reduction; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2037466
