Control of Continuous Linear Systems

Throughout this book, we use the following notation:
| 1 ( t) | Unit step | |
| F ( s) | Closed-loop transfer function | |
| G( s) | Transfer function of the forward path | |
| H( s) | Transfer function of the feedback path | |
| OS | Overshoot | |
| Q | Q factor | |
| R ( s) | Transfer function of the regulator | |
| T( s) | Open-loop transfer function | |
| T u | Ultimate period | |
| W( s) | Sensitivity transfer function | |
| d( t) | Perturbation | |
| g( t) | Impulse response | |
| k | Static gain | |
| k c | Controller gain | |
| klim | Critical (ultimate) gain | |
| k m | Gain margin | |
| p i | ith pole | |
| u( t) | Process input | |
| v( t) | Voltage | |
| y( t) | Process output | |
| y r ( t) | Desired output (set-point) | |
| Z i | ith zero | |
| ?( S) | Laplace transform of the error | |
| ?( t) | Dirac impulse (impulse function) | |
| ?( t) | Error | |
| ? | Damping factor | |
| ? | Time delay | |
| T d | Derivative time | |
| T i | Integral time | |
| ? m | Phase margin | |
| w c | Critical frequency | |
| w r | Resonance frequency |
Indices
| i = 1, N | i = 1,2,3, , N | |
| r | Reference |
A filled square ? indicates the end of a proof.