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. 2021 Jun 30;21(13):4495. doi: 10.3390/s21134495
TPA Transfer Path Analysis
KF Kalman Filter
ADE-KF Augmented Discrete Extended Kalman Filter
MB MultiBody
FE Finite Element
EOM Equation Of Motion
(I-), (E-) DAE (Implicit), (Explicit) Differential Algebraic Equation
(I-), (E-) ODE (Implicit), (Explicit) Ordinary Differential Equation
MBRC MultiBody Research Code
FNCF Flexible Natural Coordinates Formulation
BDF Backward Differentiation Formula
VS Virtual Sensor
MEMS Micro Electro-Mechanical Systems
PID Proportional Integrative Derivative
Z integer numbers set
R real numbers set
aR scalar
aRna column vector
a1Ta2TTRna1+na2 vertical vector concatenation
ARn1×n2 matrix
IaZna×na identity matrix
0a1Zna1 zero vector
0a1,a2Zna1×na2 zero matrix
T transpose operator
1 inverse matrix operator
a priori prediction
+ a posteriori prediction
k=(t=tk) kth time step
n natural coordinates
˙=ddt, ¨=d2dt2 time derivatives
da1da2Rna1×na2 total derivative
a1a2Rna1×na2 partial derivative
2a1a2a3Rna1×na2×na3 second partial derivative
||||2 2-norm operator