Title: Mixed H_/H fault detection observer design for networked control system with variable sampling period

Authors: Jin-rong Fan; Hua-jing Fang

Addresses: College of Computer Science, South-Central University for Nationalities, 182 Minyuan Road, Wuhan, China ' Department of Control Science and Engineering, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan, China

Abstract: For networked control system (NCS) with time-varying sampling period and time-delay, a discrete-time model with parameter uncertainties lying inside a polytopic framework is proposed. Based on the finite frequency parameter dependent quadratic H index performance for minimising the disturbance and the corresponding H_ index performance for maximising the worst-case fault sensitivity, a fault detection observer is designed for residual generation. By the aid of the generalised Kalman-Yakubovich-Popov (GKYP) lemma, the existence conditions of such an observer are given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.

Keywords: networked control systems; NCS; variable sampling periods; H-infinity; H_ index; polytopic uncertainty; fault detection; observer design; generalised Kalman-Yakubovich-Popov lemma; GKYP lemma; linear matrix inequalities; LMIs; time delay; discrete-time modelling; parameter uncertainties.

DOI: 10.1504/IJMIC.2014.059391

International Journal of Modelling, Identification and Control, 2014 Vol.21 No.1, pp.38 - 46

Published online: 07 Jun 2014 *

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