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Robust Fault Detection for Nonlinear Discrete Systems with Data Drift and Randomly Occurring Faults Under Weighted Try-Once-Discard Protocol

  • Weilu Chen
  • Jun HuEmail author
  • Xiaoyang Yu
  • Dongyan Chen
  • Junhua Du
Article
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Abstract

This paper is concerned with the robust fault detection (FD) problem for discrete uncertain systems with data drift, randomly occurring faults (ROFs) and randomly occurring nonlinearities (RONs) under weighted try-once-discard (WTOD) protocol. The phenomena of the RONs are characterized by the Bernoulli distributed variable. The Markov chain with two states is introduced to describe the ROFs in the system. The data drift is depicted by an array of mutually independent stochastic variables with individual probabilistic distribution functions. Moreover, the WTOD protocol is utilized to lessen the incidence of data collisions and enhance the communication efficiency. An FD filter is established, and sufficient conditions are proposed under which the resultant filtering error system is stochastically stable and achieves a prescribed \(H_{\infty }\) performance irrespective of the simultaneous presence of the WTOD protocol mechanism, ROFs, RONs and data drift. Besides, the form of the desired filter parameters is presented in terms of the solutions to certain matrix inequalities. Finally, two examples are exploited to demonstrate the feasibility of the obtained robust FD algorithm.

Keywords

Discrete nonlinear system Randomly occurring faults Data drift Weighted try-once-discard protocol Fault detection 

Notes

Compliance with Ethical Standards

Conflict of interest

The authors claim that there are no potential conflicts of interest. In addition, this submission has been approved by all co-authors.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.The Higher Educational Key Laboratory for Measuring & Control Technology and Instrumentations of Heilongjiang ProvinceHarbin University of Science and TechnologyHarbinChina
  2. 2.School of ScienceHarbin University of Science and TechnologyHarbinChina
  3. 3.School of EngineeringUniversity of South WalesPontypriddUK
  4. 4.Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex SystemsHarbin University of Science and TechnologyHarbinChina
  5. 5.College of ScienceQiqihar UniversityQiqiharChina

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