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

Xuanjin Deng (1) , Junfeng Zhang (1) , Tarek Raissi (2)

1 HDU - Hangzhou Dianzi University
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques

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.

Mots clés: Positive Markov jump systems; Event-triggered filter; Non-fragile filter; Linear programming

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

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