Non-Fragile Control for T-S Fuzzy Switched Positive Systems

Le résumé fourni par la source

This paper investigates the exponential stability and positivity problem for Takagi-Sugeno (T-S) fuzzy switched positive systems subject to non-fragile control constraints. In practical applications, controller parameters are often prone to fluctuations due to environmental uncertainties, which may violate the strict positivity and stability requirements of the system. To address this issue, a non-fragile control scheme is proposed that explicitly accounts for additive gain variations. By constructing a quadratic Lyapunov function and leveraging the mode-dependent average dwell time (MDADT) switching strategy, sufficient criteria are derived to ensure that the closed-loop system remains positive and exponentially stable. The proposed stability conditions are formulated as LMIs, which avoid complex nonlinear optimization. Finally, the effectiveness of the proposed method is validated through a numerical simulation example.

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