An uncertainty-based approach to discrete-time fault estimation observer design for nonuniformly sampled systems

Regular Papers Control Theory and Applications
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Abstract

This paper considers the fault estimation problem of nonuniformly sampled system in which sensor sampling is performed at aperiodic interval. After being discretized at sampling instant, the nonuniformly sampled system is modeled as an equivalent polytopic system with norm bounded uncertainties. A discrete-time time-varying fault estimation observer with multiple design freedom is then constructed, and a sufficient condition given in linear matrix inequality (LMI) is provided to obtain the constant filter gain and ensure not only the asymptotic stability of fault estimation error but also the robustness of uncertainties. Compared with the existing observer designed based on continuous-time delay approach, the proposed one has a better estimation accuracy and less conservatism and is easy for digital implementation. A numerical simulation and a quadruple-tank benchmark are used to demonstrate the effectiveness and superiority of the proposed method.

Keywords

Discrete-time observer fault estimation nonuniform sampling polytopic uncertainty 
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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Electrical EngineeringNantong UniversityJiangsuChina
  2. 2.School of AutomationNanjing University of Science and TechnologyJiangsuChina

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