Sensor Faults Observer Design with H Performance for Non-linear T-S systems

Imen Haj Brahim Maha Bouattour Driss Mehdi Mohamed Chaabane Ghani Hashim

Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane, Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(6): 563-570. doi: 10.1007/s11633-013-0754-5
引用本文: Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane, Ghani Hashim. Sensor Faults Observer Design with H Performance for Non-linear T-S systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(6): 563-570. doi: 10.1007/s11633-013-0754-5
Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane and Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems. International Journal of Automation and Computing, vol. 10, no. 6, pp. 563-570, 2013. doi: 10.1007/s11633-013-0754-5
Citation: Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane and Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems. International Journal of Automation and Computing, vol. 10, no. 6, pp. 563-570, 2013. doi: 10.1007/s11633-013-0754-5

Sensor Faults Observer Design with H Performance for Non-linear T-S systems

doi: 10.1007/s11633-013-0754-5

Sensor Faults Observer Design with H Performance for Non-linear T-S systems

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    Author Bio:

    Imen Haj Brahim received the master degree in automatic control and industrial computing from the University of Sfax, Tunisia in 2010. Currently, she is a Ph.D. candidate in electrical engineering at the National Engineering School of Sfax (ENIS) and an associate researcher in the Laboratory of Sciences and Techniques of Automatic & Computer Engineering Lab-STA, University of Sfax. Her research interests include robust observer and fault tolerant control for Takagi-Sugeno fuzzy models as well as singular systems. E-mail: hajbrahim.imen@yahoo.com

    Corresponding author: Driss Mehdi
  • 摘要: This paper deals with the problem of the state estimation and the sensor faults detection for nonlinear perturbed systems described by Takagi-Sugeno (T-S) fuzzy models with unmeasurable premise variables. Indeed, a T-S observer is synthesized, in descriptor form, to estimate both the system states and the sensor faults simultaneously. The idea of the proposed approach is to introduce the sensor fault as an auxiliary variable in the state vector. Besides, the T-S model with unmeasurable premise variables is reduced to a perturbed model with measurable variables. Convergence conditions are established with Lyapunov theory and the H performance in order to guarantee the best robustness to disturbances. These conditions are expressed in terms of linear matrix inequalities (LMIs). The parameters of the observer are computed using the solution of the LMI conditions. Finally, a numerical example is given to illustrate the design procedures. Simulation results show the satisfactory performances.
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Sensor Faults Observer Design with H Performance for Non-linear T-S systems

doi: 10.1007/s11633-013-0754-5
    作者简介:

    Imen Haj Brahim received the master degree in automatic control and industrial computing from the University of Sfax, Tunisia in 2010. Currently, she is a Ph.D. candidate in electrical engineering at the National Engineering School of Sfax (ENIS) and an associate researcher in the Laboratory of Sciences and Techniques of Automatic & Computer Engineering Lab-STA, University of Sfax. Her research interests include robust observer and fault tolerant control for Takagi-Sugeno fuzzy models as well as singular systems. E-mail: hajbrahim.imen@yahoo.com

摘要: This paper deals with the problem of the state estimation and the sensor faults detection for nonlinear perturbed systems described by Takagi-Sugeno (T-S) fuzzy models with unmeasurable premise variables. Indeed, a T-S observer is synthesized, in descriptor form, to estimate both the system states and the sensor faults simultaneously. The idea of the proposed approach is to introduce the sensor fault as an auxiliary variable in the state vector. Besides, the T-S model with unmeasurable premise variables is reduced to a perturbed model with measurable variables. Convergence conditions are established with Lyapunov theory and the H performance in order to guarantee the best robustness to disturbances. These conditions are expressed in terms of linear matrix inequalities (LMIs). The parameters of the observer are computed using the solution of the LMI conditions. Finally, a numerical example is given to illustrate the design procedures. Simulation results show the satisfactory performances.

English Abstract

Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane, Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(6): 563-570. doi: 10.1007/s11633-013-0754-5
引用本文: Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane, Ghani Hashim. Sensor Faults Observer Design with H Performance for Non-linear T-S systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(6): 563-570. doi: 10.1007/s11633-013-0754-5
Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane and Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems. International Journal of Automation and Computing, vol. 10, no. 6, pp. 563-570, 2013. doi: 10.1007/s11633-013-0754-5
Citation: Imen Haj Brahim, Maha Bouattour, Driss Mehdi, Mohamed Chaabane and Ghani Hashim. Sensor Faults Observer Design with H∞ Performance for Non-linear T-S systems. International Journal of Automation and Computing, vol. 10, no. 6, pp. 563-570, 2013. doi: 10.1007/s11633-013-0754-5
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