TABLE OF CONTENTS The notation conforms to 'standard usage' - there are no novel notations. However, the following list, in which symbols are defined with respect to the first chapter in which they appear, may be found useful.
| Chapter | Symbol | Meaning |
|---|---|---|
| 3 | G | Operator representing a system to be controlled |
| D | Operator representing a controller | |
| H | Operator representing the behaviour of a composite system | |
| v | The desired value for y | |
| y | The measured value of system output | |
| e | The error between v and y | |
| 4 | L{ } | The operation of Laplace transforming |
| L -1{ } | The operation of inverse Laplace transforming | |
| s | The complex variable associated with the Laplace transform | |
| F{ } | Fourier transformation | |
| * | Convolution | |
| R u,y | The correlation function between u and y | |
| ? (zeta) | Damping factor | |
| ? | Frequency | |
| ? n | Undamped natural frequency | |
| ? d | Damped frequency | |
| ? r | Resonant frequency | |
| R( P) | Real part of P | |
| I( P) | Imaginary part of P | |
| ? (sigma) | The real part of a complex number - often used to label the real axis while j ? is used to label the imaginary axis | |
| 5 | | |
| 6 | | n dimensional real space |
| x( k) | The value of x after k sampling intervals has elapsed | |
| 7 | ?, ? | Inner product |
| x | The norm of the vector x | |
| ? |
