Yu Zhang,∗ Hong Yang,∗ and Hongyuan Ma
Switched fuzzy system, observer, variable-delay time, H∞ memory state-feedback control, fault-tolerant control
For the switched fuzzy systems (SFS) with disturbances and time- varying delays, this study investigates the problems of the system in the event of sensor failures within the observer feedback loop. A fault-tolerant observer and a memory state feedback (MSF) controller based on this observer were developed to mitigate the impact of time delays and sensor faults on the system’s convergence rate. By constructing less conservative multiple-Lyapunov functions, sufficient conditions for asymptotic stability and H∞ performance of closed-loop augmented SFS with time-varying delays are established. Subsequently, the gain matrices of both the observer and the controller are simultaneously determined using linear matrix inequalities (LMIs) that incorporate time-delay characteristics and fault matrices. Finally, two simulation examples are provided to illustrate the effectiveness and practicality of the proposed approach.
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