Design Of Nonlinear Control Systems With The Highest Derivative In Feedback, Volume 16

| A FMS( z) | characteristic polynomial of discrete-time FMS |
| D FMS( s) | characteristic polynomial of continuous-time FMS |
| deg A( s) | degree of polynomial A( s) |
| det B | determinant of matrix B |
| dim M | dimension of manifold M |
| e | error of the reference input realization where e = r - y |
| e F | error of the desired dynamics realization |
| e s | steady-state error of the reference input realization |
| | velocity error due to ramp disturbance w( t) |
| | relative velocity error due to ramp disturbance w( t) |
| | velocity error in the presence of ramp input r( t) |
| | relative velocity error due to ramp reference input r( t) |
| I m | identity matrix, where I m ? ? m m |
| Im S i | imaginary part of s i |
| k 0 | high gain |
| lg( ?) | base 10 logarithm of the elements of ?, i.e., lg( ?) = log 10( ?) |
| L( ?) | Bode amplitude diagram |
| n | degree of differential equation of plant model |
| n s | high-frequency sensor noise |
| q | degree of differential or difference equation of controller |
| p | operator of differentiation, p = d( )/ dt |
| r | reference input |
| ? m | vector space of the mth dimension |
| Re S i | real part of S i |
| Re ? i( A) | real part of eigenvalue ? i of A |
| t | time |
| t p | peak time of the output... |