Use matlab to compute state transition matrix and then

Question

1. Obtain a state variable model for the single-input multi-output system shown in Fig. 1. r(t) is the input and y₁(t) and y₂(t) are outputs.

2. For the system shown in Fig. 1, use MATLAB to compute state transition matrix and then obtain the step responses y1(t) and y2(t), given that the initial state vector is zero and,

R₁ = R₂ = 2 Ω, C = 1 F, L₁₌ L₂ = 1 H

3. A feedback control system has a closed loop transfer function given by Eq. 1. Construct the state models using the following methods:

a. Phase Variable Format,

b. Input Feedforward Format.