Title :
A SOS-based approach to residual generators for discrete-time polynomial nonlinear systems
Author :
Xu, Jun ; Lum, Kai Yew ; Loh, Ai Poh ; Xie, Lihua
Author_Institution :
Nat. Univ. of Singapore, Singapore
Abstract :
This paper mainly discusses the residual generation problem for discrete-time polynomial nonlinear systems with unknown inputs. By employing state-dependent polynomial Lyapunov functions, sufficient conditions for fault detection using lscr2-gain performance indices are presented in terms of nonlinear matrix inequalities (NMIs). We show that those NMIs can be solved by the recently developed technique named sum of squares (SOS), which essentially is an LMI feasibility problem.
Keywords :
Lyapunov methods; discrete time systems; fault diagnosis; linear matrix inequalities; nonlinear control systems; polynomials; discrete-time polynomial nonlinear systems; fault detection; linear matrix inequalities; lscr2-gain performance index; residual generation problem; state-dependent polynomial Lyapunov function; sum of squares; Control systems; Fault detection; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Sufficient conditions; USA Councils; Fault detection; H∞ filter; Sum of squares (SOS); bilinear matrix inequality (BMI); linear matrix inequality (LMI); nonlinear matrix inequality (NLMI); nonlinear systems;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434299
