Title :
A SOS-based robust fault detection method for polynomial nonlinear systems
Author :
Casavola, A. ; Famularo, D. ; Franze, G.
Author_Institution :
DEIS, Univ. degli Studi della Calabria, Rende, Italy
fDate :
June 30 2010-July 2 2010
Abstract :
A novel nonlinear Luenberger-like filter design method is discussed for fault detection of nonlinear polynomial systems subject to unknown inputs. The disturbance rejection/ fault sensitivity conditions are characterized by exploiting Algebraic Geometry methods. By means of the Positivstellensatz Theorem, a Sum of Squares (SOS) formulation of the design problem is obtained and an adaptive threshold is proposed to reduce the effect of false alarms. The effectiveness of the filter is illustrated via a numerical example taken from the literature.
Keywords :
fault diagnosis; filtering theory; nonlinear control systems; observers; polynomials; robust control; Positivstellensatz theorem; SOS based robust fault detection method; algebraic geometry methods; nonlinear Luenberger-like filter design method; polynomial nonlinear systems; sum of squares; Control systems; Design methodology; Fault detection; Filters; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Redundancy; Robustness;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531310
