Texts: I want to compare linear and non-linear maglev systems as shown below. Which Matlab codes or Simulink blocks do I need? Please help.
For steady-state position z,s = 0.0048 m, the steady-state current computed using Eq. (11.81) is I,s = 0.64 A, and the corresponding steady-state source voltage is ein() = RIs = 3.2 V. Hence, the steady-state perturbation voltage is ein = eio - e*, = -0.8 V, as shown in Fig. 11.57. For the desired reference position
$+40 s+160
24.525 s^2 - 817.5
0.018s+5
dz
Ref dz step
Gain, K
Lead controller
RL coil
Mechanical ball
To Workspace
Integrator
Clock To Workspace
Ref voltage e_in*
1780
$+40 s+160
e_inI
Ret z step
Gain, K
Lead controller
RL coil subsystem
Mechanical ball subsystem
To Workspace
Clock To Workspace
Figure 11.58 Simulink model of nonlinear maglev system with lead-plus-integral controller.
x 10^-3
Nonlinear maglev model
z(r), Position
Linearized maglev model
Reference step input
0.1
0.2
0.3
0.4
0.5 Time, s
90
0.7
0.8
Figure 11.61 Closed-loop step responses of the linearized and nonlinear maglev systems using the lead-plus-integral controller.
Linear maglev model
Nonlinear maglev model
(r)g 3
perturbation
0.1
0.2
0.3
0.4
0.5 Time, s
0.6
0.7
0.8