https://doi.org/10.1140/epjs/s11734-024-01360-7
Regular Article
New insights on dissipative control technique for Takagi–Sugeno fuzzy system with variable time-delays and random packet dropouts
1
Department of Mathematics, Tripura University, Suryamaninagar, 799022, Tripura, India
2
MSU-BIT-SMBU Joint Research Center of Applied Mathematics, Shenzhen MSU-BIT University, 518172, Shenzhen, China
Received:
30
April
2024
Accepted:
1
October
2024
Published online:
18
October
2024
This research aims to analyze the behavior of a Takagi–Sugeno (T–S) fuzzy system (TSFS) while considering both variable delays and packet dropouts. To achieve this, a suitable augmented Lyapunov–Krasovskii functional (LKF) is constructed, followed by establishing a new permissible and strictly dissipative condition using linear matrix inequalities (LMIs). The proposed dissipative condition ensures that the system will be asymptotically stable even in cases of random control packet dropout. The study then presents the results of numerical experiments to support the effectiveness of the proposed method. To demonstrate the practical applications of this work, the study provides three examples including a nonlinear single-species bio-economic system and the truck-trailer model. The first example also highlights the less conservativeness of this proposed method.
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