For the system shown below do the following: 1. Derive the equation of motion. 2. Find the transfer Function. 3. For the

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For The System Shown Below Do The Following 1 Derive The Equation Of Motion 2 Find The Transfer Function 3 For The 1 (96.17 KiB) Viewed 25 times

For the system shown below do the following: 1. Derive the equation of motion. 2. Find the transfer Function. 3. For the open loop system with unit step input and m= 1 kg, B = 6 N.s/m, K = 13 N/m, find the steady state response (Xss ) and the steady state error (ess). 4. Design a proportional controller with š = VI (Sketch the root locus and find Xss and ess). 2 = NIA NIN = 5. Design a PI controller with } (Sketch the root locus and find Xss and ess). 2 6. Design a PD controller with with half reduction in settling time (Sketch the root locus and find Xss and ess). 7. Design a PID controller with } with half reduction in settling time and zero steady state error for a step input (Sketch the root locus and find Xss and ess). 8. Compare the results and write the conclusion. x(t) K 0000 M f(t) B