Explanation Given : The given mechanical system is, Overshoot =17% Settling time T s = 10 s Step input , f t = 1 s Concept Used: Apply the D Alembert’s principle for rotational systems in Laplace domain to obtain the transfer function and then substitute the given values to obtain the resultant transfer function. Also use the time domain response formula to obtain ζ : - ζ = − ln % O S 100 π 2 + ln 2 % O S 100 Compare the obtained transfer function with second order standard transfer function to obtain the desired result. Calculation: Use D Alembert’s principle for rotational systems in Laplace domain ( M s 2 + f v s + 1 ) X ( s ) = F ( s ) X ( s ) F ( s ) = 1 ( M s 2 + f v s + 1 ) = 1 M ( s 2 + f v M s + 1 M ) Also, we have ζ = − ln % O S 100 π 2 + ln 2 % O S 100 <

7th Edition

ISBN: 9781118170519

Author: Norman S. Nise

Publisher: WILEY

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Chapter 4, Problem 75P

To determine

The value of M and fv for mechanical system with given specification.

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Chapter 4, Problem 74P

Chapter 4, Problem 76P

Chapter 4 Solutions

Control Systems Engineering

Ch. 4 - Prob. 1RQ Ch. 4 - What does the performance specification for a...Ch. 4 - Prob. 3RQ Ch. 4 - In a system with an input and an output, what...Ch. 4 - Prob. 5RQ Ch. 4 - Prob. 6RQ Ch. 4 - 7. What is the difference between the natural...Ch. 4 - Prob. 8RQ Ch. 4 - Prob. 9RQ Ch. 4 - Prob. 10RQ

Ch. 4 - List five specifications for a second-order...Ch. 4 - Prob. 12RQ Ch. 4 - What pole locations characterize (1) the...Ch. 4 - Prob. 14RQ Ch. 4 - How can you justify pole-zero cancellation?Ch. 4 - Prob. 16RQ Ch. 4 - 17. What is the relationship between , which...Ch. 4 - Name a major advantage of using time-domain...Ch. 4 - Prob. 19RQ Ch. 4 - What three pieces of information must be given in...Ch. 4 - 21. How can the poles of a system be found from...Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - MATIAB ML 3. Plot the step responses for Problem 2...Ch. 4 - Find the capacitor voltage in the network shown in...Ch. 4 - For the system shown in Figure P4.3, (a) find an...Ch. 4 - Prob. 8P Ch. 4 - MATLAB ML 9. Use MATLAB to find the poles of...Ch. 4 - Find the transfer function and poles of the system...Ch. 4 - MATLAB ML 11. Repeat Problem 10 using MATLAB....Ch. 4 - Write the general form of the capacitor voltage...Ch. 4 - Solve for x(t) in the system shown in Figure P4.5...Ch. 4 - Prob. 15P Ch. 4 - Prob. 16P Ch. 4 - Calculate the exact response of each system of...Ch. 4 - Prob. 18P Ch. 4 - Prob. 19P Ch. 4 - For each of the second-order systems that follow,...Ch. 4 - MATLAB ML 21. Repeat Problem 20 using MATLAB. Have...Ch. 4 - GUI Tool GUIT 22. Use MATLAB’s LTI Viewer and...Ch. 4 - Prob. 23P Ch. 4 - Find the transfer function of a second-order...Ch. 4 - For the system shown in Figure P4.7, do the...Ch. 4 - For the system shown in Figure P4.8, a step torque...Ch. 4 - Prob. 28P Ch. 4 - Prob. 29P Ch. 4 - Prob. 30P Ch. 4 - Prob. 31P Ch. 4 - Prob. 32P Ch. 4 - Prob. 33P Ch. 4 - Prob. 34P Ch. 4 - Prob. 35P Ch. 4 - Prob. 36P Ch. 4 - State Space SS 38. A system is represented by the...Ch. 4 - Prob. 39P Ch. 4 - Prob. 40P Ch. 4 - State Space SS 41. Given the following system...Ch. 4 - State Space SS 42. Solve the following state...Ch. 4 - Prob. 43P Ch. 4 - Prob. 44P Ch. 4 - Prob. 46P Ch. 4 - Prob. 47P Ch. 4 - Prob. 48P Ch. 4 - Prob. 53P Ch. 4 - Prob. 54P Ch. 4 - A MOEMS (optical MEMS) is a MEMS (Micro...Ch. 4 - Prob. 56P Ch. 4 - Prob. 59P Ch. 4 - Prob. 60P Ch. 4 - Prob. 61P Ch. 4 - Prob. 63P Ch. 4 - Prob. 67P Ch. 4 - Figure P4.l6 shows the step response of an...Ch. 4 - Figure P4. I 7 shows the free-body diagrams for...Ch. 4 - Find an equation that relates 2% settling time to...Ch. 4 - Prob. 74P Ch. 4 - Prob. 75P Ch. 4 - 76. Find J and K in the rotational system shown in...Ch. 4 - Given the system shown in Figure P4.22, find the...Ch. 4 - Prob. 78P Ch. 4 - Find M and K, shown in the system of Figure P4.24,...Ch. 4 - If vi(t) is a step voltage in the network shown in...Ch. 4 - Prob. 81P Ch. 4 - Prob. 82P Ch. 4 - For the circuit shown in Figure P4.26, find the...Ch. 4 - Prob. 84P Ch. 4 - Prob. 86P

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