Electromagnetic suspension systems for air cushioned trains are known as magnetic levitation (maglev) trains. One maglev train uses a superconducting magnet system. It uses superconducting coils, and the levitation distance x(t) is inherently unstable. The model of the levitation is

where V(s) is the coil voltage; Ƭ₁ is the magnet time constant; and ω₁ is the natural frequency. The system uses a position sensor with a negligible time constant. A train traveling at 250 km/hr would have Ƭ₁ = 0.75 s and ω₁ = 75 rad > s. Determine a controller in a unity feedback system that can maintain steady, accurate levitation when disturbances occur along the railway.

Transcribed Image Text:

G(s) = X(s) V(s) K (ST₁ + 1) (s²w)"