scholarly journals Zonotopic fault detection observer for discrete-time descriptor systems considering − fault sensitivity

Author(s):  
Ye Wang ◽  
Vicenç Puig ◽  
Gabriela Cembrano ◽  
Yuxin Zhao
2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Guangfu Deng ◽  
Huihong Zhao

This paper deals with the problem ofH∞fault detection for a class of linear discrete time-varying descriptor systems with missing measurements, and the missing measurements are described by a Bernoulli random binary switching sequence. We first translate theH∞fault detection problem into an indefinite quadratic form problem. Then, a sufficient and necessary condition on the existence of the minimum is derived. Finally, an observer-basedH∞fault detection filter is obtained such that the minimum is positive and its parameter matrices are calculated recursively by solving a matrix differential equation. A numerical example is given to demonstrate the efficiency of the proposed method.


2018 ◽  
Vol 12 (15) ◽  
pp. 2156-2163 ◽  
Author(s):  
Weixin Han ◽  
Zhenhua Wang ◽  
Yi Shen ◽  
Yipeng Liu

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Javier Martinez ◽  
Braulio Aguiar ◽  
Víctor Estrada-Manzo ◽  
Miguel Bernal

This paper presents actuator fault detection of discrete-time nonlinear descriptor systems by means of nonlinear unknown input observers. The approach is based on the exact factorization of the estimation error in order to overcome the well-known problem of unmeasurable scheduling variables within the observation of convex models, thus avoiding the use of Lipschitz constants, differential mean value theorem, or robust techniques. As a result, the designing conditions are cast in terms of linear matrix inequalities and efficiently solved via commercially available software. Numerical as well as academic setups are provided to illustrate the advantages and performance of the proposal.


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