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

fYear

2007

fDate

12-14 Dec. 2007

Firstpage

372

Lastpage

377

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2007 46th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

978-1-4244-1497-0

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2007.4434299

Filename

4434299