Set-membership parity space approach for fault detection in linear uncertain dynamic systems

• Published in: International journal of adaptive control and signal processing Vol. 30; no. 2; pp. 186 - 205
• Main Authors: Blesa, Joaquim, Puig, Vicenç, Saludes, Jordi, Fernández-Cantí, Rosa M.
• Format: Journal Article Publication
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01-02-2016; Wiley Subscription Services, Inc
• Subjects: Automatic control; Control automàtic; Differential equations, Linear; Dynamical systems; Dynamics; Equacions diferencials lineals; Fault detection; Fault location (Engineering); Informàtica; Keywords: fault detection; Linear systems; Mathematical models; Parity; parity equations; parity space; Polynomials; set membership; Sistemes lineals; Transformations; Wind turbines; zonotopes; Àrees temàtiques de la UPC
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.2476

Summary
In this paper, a set‐membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived from the system characteristic polynomial. As a result of this transformation, parity relations can be expressed in regressor form. On the one hand, this facilitates the parameter estimation of those relations using a zonotopic set‐membership algorithm. On the other hand, fault detection is then based on checking, at every sample time, the non‐existence of a parameter value in the parameter uncertainty set such that the model is consistent with all the system measurements. The proposed approach is applied to two examples: a first illustrative case study based on a two‐tank system and a more realistic case study based on the wind turbine fault detection and isolation benchmark in order to evaluate its effectiveness. Copyright © 2014 John Wiley & Sons, Ltd.