a) b) the system. € c) d) The unit-step response of a linear control system is shown in Figure 4. Find maximum overshoot and peak time. Find the transfer function of a second order prototype system to model Calculate rise time and settling time (2% criterion). Find the time constant of the system. response 1.4 1.2 1.25 0.8 0.6 0.4 0.2 1 0.01 0.02 0.03 0.04 0.05 time (s) 0.06 0.07 0.08 0.09 0.1 Figure 4

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TIME DOMAIN MODELING AND RESPONSE FOR CONTROL SYSTEMS

solve, show solution and show matlab code for part b, vibrations

Please solve the following WITHOUT the use of AI. Do not run the prompt through chatgpt. Using MATLAB for the required question, solve the problems. Thank you!

Question 4 a) A control engineer has modelled the suspension system of a new model car using a 2nd order differential equation. Using Laplace Transform, the engineer has managed to work out the transfer function, which is given below: 0.001 s2 + 12s+81 What is the natural frequency, the damping ratio and the constant K of the system? Please show all calculations. b) The same engineer has studied the suspension system of a SUV vehicle and modelled it using again a 2nd order differential equation, which has resulted into the following 2nd order transfer function: Y(s) 32 U(s) 4s² +8s + 16 For this system first calculate the damping ratio and its natural frequency and state whether the system is underdamped, overdamped or critically damped. Then calculate the peak time, peak value, settling time and damped natural frequency of the system.

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6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.

PLease solve the following without the use of AI. Thank You!

solve, show solution and matlab code, vibrations