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A central controller is assumed to regulate controllable devices by using wireless wide-area communication.
In the second stage, a central controller is assumed to measure node voltages and regulate the outputs of controllable devices using a linearized voltage-sensitivity approach.
The fuzzy controller is assumed to be nonlinearity in a bounded sector and the controlled plant - a linear system described by the differential or integral equations.
The controller is assumed to be PID type.
The feedback channel from the plant output to the controller is assumed noiseless.
In the above section, the controller is assumed to be known for the stability analysis.
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The T-S fuzzy model consists of N interconnected discrete-time Takagi-Sugeno (T-S) fuzzy subsystems, the decentralized control scheme is adopted and the communication links between the subsystem and controller are assumed to be imperfect, that is, data packet dropouts occur intermittently, which is often the case in a network environment.
The communication links between the system plant and the controller are assumed to be imperfect and therefore the data packet dropouts occur frequently.
The measurements transmitted from the plant to the observer and the controller are assumed to be imperfect, and two stochastic variables are utilized to model the missing data separately.
The parameters' trajectory sensitivity curves under both kinds of disturbances are given in Fig. A2 and Fig. A3 in Appendix A. The parameters of PI controllers are assumed to be similar to individual wind turbines.
The fuzzy controller is designed to mimic an ideal controller which is assumed guarantying the control objective.
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