(Solved):   pls help Part 3: Simulink Model for'Analysis of Second-order System Use the same \( G(s) \ ...

 

pls help

Part 3: Simulink Model for'Analysis of Second-order System Use the same \( G(s) \) in Part 2, develop a Simulink model to investigate the dynamic characteristic of the system in Figure 3. i) Develop two Simulink models based on transfer function and the state-space representation. As the transfer function and state-space matrices represent the same system, they should produce the same results. You should be able to prove this. ii) Find the step response of the system with \( K=1 \) and determine the steady-state error. iii) Evaluate and comment the correctness of the steady-state error in ii) with calculation of steady-state error using Final Value Theorem. iy) Adjusting value of \( K \) until you get better output performance than the one you obtained in ii). Comments on your answer and suggests for any further improvement. v) Find damping ratio, and natural frequency of the system. Determine the type of response specification of the system and state why? vi) Investigate the dynamic characteristic of the output response including the peak time \( \left(T_{p}\right) \), rise time \( \left(T_{r}\right) \), settling time \( (T s) \) and percentage of overshoot (\%OS) using calculation via values obtained in \( \mathrm{v} \) ) and the measurement from the simulation.