Title :
Multiplier-based, robust H∞ estimation with application to robust fault detection
Author :
Collins, Eniinanuel G., Jr. ; Song, Tinglun
Author_Institution :
Dept. of Mech. Eng., Florida A&M Univ., Tallahassee, FL, USA
Abstract :
This paper uses the Popov-Tsypkin multiplier (which has intimate connections to the mixed structured singular value theory) to design robust H∞ estimators for uncertain linear discrete-time systems and considers the application of robust H∞ estimators to robust fault detection. The key to estimator-based, robust fault detection is to generate residuals which are robust against plant uncertainties and external disturbance inputs, which in turn requires the design of robust estimators. The robust H∞ estimation problem is formulated as a Riccati equation feasibility problem in which a cost function is minimized subject to a Riccati equation constraint. The robust H∞ estimator framework is then applied to the robust fault detection of dynamic systems
Keywords :
H∞ optimisation; Riccati equations; discrete time systems; fault diagnosis; filtering theory; linear systems; matrix algebra; robust control; state estimation; uncertain systems; H∞ estimators; Popov-Tsypkin multiplier; Riccati equation; discrete-time systems; dynamic systems; fault detection; filtering; linear matrix inequality; linear systems; robust control; singular value theory; state estimation; uncertain systems; Cost function; Fault detection; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Riccati equations; Robustness; State estimation; Symmetric matrices; Uncertainty;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786404