In the proposed approach, a self-recurrent Wavelet Neural Network (SRWNN) is applied with the aim of constructing a self-recurrent consequent part for each fuzzy rule of a Takagi-Sugeno-Kang (TSK) fuzzy model.
In addition to feedback connections, there are self-recurrent connections in all nodes of the context and hidden layers.
A cell is composed of four main elements: an input gate, a neuron with a self-recurrent connection, a forget gate, and an output gate.
In the proposed approach, the SRWNN is employed to construct a full-adaptive self-recurrent consequent part for each fuzzy rule of a TSK fuzzy model.
By incorporating Self-Recurrent Wavelet Neural Networks (SRWNNs) into Takagi Sugeno Kang (TSK) fuzzy model, this paper not only develops a novel Indirect Stable Adaptive Fuzzy Wavelet Neural Controller (ISAFWNC), but also uses it as a supplementary damping controller of Flexible AC Transmission System FACTSS) devices.
To create an adaptive nature for PI/PID controller and for online processing of the error signal, this work subtly employs a one to one offline trained self-recurrent wavelet neural network as a processing unit (SRWNN-PU) in series connection with the fixed-proportional gain of conventional PI/PID controller.
The proposed controller is thus able to handle the plant uncertainty by both the concepts of fuzzy logic and ASRWNNI while the local details of non stationary signals can be decomposed in terms of the dilation and translation parameters of the self-recurrent wavelet neural networks.
This effect was found for self reported recurrent ankle sprains (relative risk 0.63, 95% confidence interval 0.45 to 0.88), recurrent ankle sprains leading to loss of sports time (0.53, 0.32 to 0.88), and recurrent ankle sprains resulting in healthcare costs or lost productivity costs (0.25, 0.12 to 0.50).
Studies using other definitions (i.e. self-reported physician diagnosed asthma, self-reported asthma, self-reported recurrent/persistent wheeze, and self-reported recurrent asthma symptoms; or a combination of these measures) were deemed lower quality.
28 All self reported recurrent ankle sprains were registered as re-injuries.
