# Event-triggered positive $l_1$-gain non-fragile filter design for positive Markov jump systems

2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : This paper is concerned with the event-triggered positive -gain non-fragile filter design of positive Markov jump systems. By using the upper and lower bounds of the error vector of system measurement outputs, the positive -gain filtering system to be designed is transformed into interval uncertain systems. Combining linear Lyapunov functions and linear programming, the positivity and stability of such systems can be obtained. Then, the proposed approach is developed to investigate positive -gain additive and multiplicative non-fragile filters, respectively. Furthermore, two classes of non-fragile positive filters are proposed for positive Markov jump systems with incomplete measurements and sensors saturation, respectively. Finally, two examples are provided to verify the effectiveness of the proposed design.
Keywords :
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-03152090
Contributor : Tarek Raïssi Connect in order to contact the contributor
Submitted on : Thursday, February 25, 2021 - 11:58:07 AM
Last modification on : Monday, February 21, 2022 - 3:38:18 PM

### Citation

Xuanjin Deng, Junfeng Zhang, Tarek Raissi. Event-triggered positive $l_1$-gain non-fragile filter design for positive Markov jump systems. Information Sciences, Elsevier, 2021, ⟨10.1016/j.ins.2021.02.030⟩. ⟨hal-03152090⟩

Record views