Title: Robust fault detection filter for non-linear state-delay networked control system

Authors: Xiaomei Qi; Chengjin Zhang; Jason Gu

Addresses: School of Control Science and Engineering, Shandong University, Jinan, 250061, China ' School of Control Science and Engineering, Shandong University, Jinan, 250061, China ' Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, B3J 2X4, Canada

Abstract: A robust fault detection filter (RFDF) problem is investigated for a non-linear state-delay networked control system (NCS) with model uncertainty and data packet dropout. In both sensor-to-controller link and controller-to-actuator link, the random data packet dropouts are described by two variables, which obey the Bernoulli distribution. An observer-based RFDF is presented as a residual generator, and the residual dynamical system is modelled as a novel stochastic non-linear NCS with state-delay, model uncertainty, external disturbance. A performance index is proposed to deal with the robustness issue, which is to enhance the robustness of the residual generator against network-induced uncertainties and disturbances, without significant loss of the sensitivity of faults. Sufficient condition for asymptotically mean-square stable of this residual dynamical system is derived. Then, the desired RFDF is obtained, which is constructed in terms of certain linear matrix inequality. Finally, two numerical examples are employed to illustrate that the proposed approach performs better than the existing approaches.

Keywords: robust filters; fault detection filters; RFDF; nonlinear NCS; networked control systems; Bernoulli distribution; residual generation; residual evaluation; model uncertainty; data packet dropout; state delay.

DOI: 10.1504/IJAAC.2012.051881

International Journal of Automation and Control, 2012 Vol.6 No.3/4, pp.215 - 230

Received: 13 Jun 2012
Accepted: 08 Sep 2012

Published online: 07 Nov 2014 *

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