1. Prove the relationship in Equation involving complex numbers. 2.Use the control system toolbox to a. Find the transfer functions Δu(s)/ΔδT(s), Δα(s)/ΔδT(s), q(s)/ΔδT(s), Δθ(s)/ΔT(s). b. Plot the...

1. Prove the relationship in Equation involving complex numbers.

2.Use the control system toolbox to

a. Find the transfer functions Δu(s)/Δδ_T(s), Δ_α(s)/Δδ_T(s), q(s)/Δδ_T(s), Δθ(s)/Δ_T(s).

b. Plot the unit step responses for the linearized model in Equation with Δy=Δx.