The fault-tolerant control strategy of the Takagi-Sugeno fuzzy car following model with two-delays

Considering the driver's sensing the headway and velocity exist the different time-varying delays respectively, and the driver's sensitivity will change with headway and speed, meanwhile the sensor exist failure constraints, introducing the fuzzy control theory, a new fuzzy car following model with two time-delays is presented, the fault-tolerant control strategy of the new fuzzy car following model is studied. Basing on the Lyapunov function theory and linear matrix inequality (LMI) approach, the sufficient condition that the existence of the fuzzy fault-tolerant controller is given, which making the closed-loop system is asymptotic stable under the sensor failures of partial vehicles, namely traffic congestion phenomenon still can effectively suppressed, the controller gain matrix can be obtained via solving linear matrix inequality. Finally, through the simulation examples verify that the method in suppress the traffic congestion is effective.

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