Research Article

Optimized PID Position Control of a Nonlinear System Based on Correlating the Velocity with Position Error

Table 1

Parameters of the model.

SymbolDescriptionValue

Motor torque constant0.00767
Back-emf constant0.00767
Servo system gear ratio70
Armature resistance2.6
Equivalent moment of inertia at the load
Equivalent viscous damping coefficient
Lever arm offset (in.)1
Beam length (in.)16.75
Earth’s gravitational constant (m/s2)9.8
Gearbox efficiency0.9
Motor efficiency0.36
Ball position
Beam pitch
Servo load gear angle
Motor input voltage