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. 2023 May 12;25(5):789. doi: 10.3390/e25050789
cij The ijth term of the centrifugal force matrix
C Centrifugal force matrix
cj The center of the jth rule
e Control-error signal
f¯j The upper output of the rule layer
f_j The lower output of the consequent layer
fi Force of friction
F Static and dynamic friction matrix
gi The ith gravitational vector
G Gravitational vector matrix
hij The ijth term of the inertial matrix
H Inertial matrix
kd The index function
li The length of the ith arm
qd Expected angle
qi The actual angle of the ith joint
y¯ The upper output of the consequent layer
y_ The lower output of the consequent layer
y The output of the FNN
α The parameter of rule adaptive
θj The width of the jth rule
λ The uncertain disturbance term caused by modeling error and external interference
μ¯ij The value of Upper membership function
μ_ij The value of Lower membership function
ρ1 Estimation error
ρ2 Experience error
τ Control moment