H-infinity and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematics Année : 2021

H-infinity and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults

(1) , (2) , (1) , (3) , (1) , (4)
1
2
3
4

Résumé

In this paper, the problem of reliable control design with mixed H-infinity/passive performance is discussed for a class of Takagi-Sugeno TS fuzzy descriptor systems with time-varying delay, sensor failure, and randomly occurred non-linearity. Based on the Lyapunov theory, firstly, a less conservative admissible criterion is established by combining the delay decomposition and reciprocally convex approaches. Then, the attention is focused on the design of a reliable static output feedback (SOF) controller with mixed H-infinity/passive performance requirements. The key merit of the paper is to propose a simple method to design such a controller since the system output is subject to probabilistic missing data and noise. Using the output vector as a state component, an augmented model is introduced, and sufficient conditions are derived to achieve the desired performance of the closed-loop system. In addition, the cone complementarity linearization (CCL) algorithm is provided to calculate the controller gains. At last, three numerical examples, including computer-simulated truck-trailer and ball and beam systems are given to show the efficacy of our proposed approach, compared with existing ones in the literature.

Dates et versions

hal-03609193 , version 1 (15-03-2022)

Identifiants

Citer

Houssem Jerbi, Mourad Kchaou, Attia Boudjemline, Mohamed Amin Regaieg, Sondes Ben Aoun, et al.. H-infinity and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults. Mathematics , 2021, 9 (18), ⟨10.3390/math9182203⟩. ⟨hal-03609193⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More