Table of Symbols
The symbols used in this document are summarized in the Table of Symbols along with their units. The symbols are listed in alphabetical order.
| Symbol | Description | Units |
|---|---|---|
| \(\mathit{AbsTol}\) | Absolute Tolerance | – |
| \({C_{\text{s}}}\) | Control Variable in the frequency domain | – |
| \(c\) | Damping coefficient of the spring | – |
| \({c_{\text{t}}}\) | Control Variable in the time domain | – |
| \({D_{\text{s}}}\) | Derivative control in the frequency domain | – |
| \({E_{\text{s}}}\) | Process Error in the frequency domain | – |
| \({e_{\text{t}}}\) | Process Error in the time domain | – |
| \({F_{\text{s}}}\) | Laplace Transform of a function | – |
| \({f_{\text{t}}}\) | Function in the time domain | – |
| \({H_{\text{s}}}\) | Transfer Function in the frequency domain | – |
| \({K_{\text{d}}}\) | Derivative Gain | – |
| \({K_{\text{p}}}\) | Proportional Gain | – |
| \(k\) | Stiffness coefficient of the spring | \({\text{s}}\) |
| \(\mathit{L⁻¹[F(s)]}\) | Inverse Laplace Transform of a function | – |
| \(m\) | Mass | \({\text{kg}}\) |
| \({P_{\text{s}}}\) | Proportional control in the frequency domain | – |
| \({R_{\text{s}}}\) | Set-Point in the frequency domain | – |
| \({r_{\text{t}}}\) | Set-Point | – |
| \(\mathit{RelTol}\) | Relative Tolerance | – |
| \(s\) | Complex frequency-domain parameter | – |
| \(t\) | Time | \({\text{s}}\) |
| \({t_{\text{sim}}}\) | Simulation Time | \({\text{s}}\) |
| \({t_{\text{step}}}\) | Step Time | \({\text{s}}\) |
| \({Y_{\text{s}}}\) | Process Variable in the frequency domain | – |
| \({y_{\text{t}}}\) | Process Variable | – |
Table of Symbols