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. 2022 Jul 26;24(8):1028. doi: 10.3390/e24081028
Acronyms
PMSM Permanent magnetic synchronous motor
SVPWM Space vector pulse width modulation
NN Neural network
RBFNN Radial basis function neural network
DO Disturbance observer
PPF Prescribed performance function
FDSC Funnel dynamic surface control
NDSC Neural dynamic surface control
PID Proportion integral differential
IAE Integration over the absolute value of the error
ITAE Integration over time and the absolute value of the error
ISE Integration over squared error
Variables
xi,i=1,,4 State variables
ΔE External disturbance term
Δli(x(tτi)),i=1,,4 Time delay terms
Rl Desired weight vector of RBFNN
^ Updated weight vector
ψ(X) Estimation error
νi=[νi1,,νim]T Receptive field centers
βi,i=1,,4 Unknown variables
uic,i=2,3 The output of first-order filters
ui Virtual controllers, the input of first-order filters
ϕi,i=2,3 First-order filter errors
η1 Modified funnel variable
Functions
f1(t) Positive funnel prescribed performance function
Fk() Gain function over time
G(t) Scaling function
ξij>0 Smooth functions in LyapunovKrasovskii functional  VT
Parameters
l>1 Node numbers of RBFNN
χi Widths of the Gaussian functions