# ps8 - 2.14/2.140 Problem Set 8 Assigned Thurs Due Thurs in...

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2.14/2.140 Problem Set 8 Assigned: Thurs. April 19, 2007 Due: Thurs. April 26, 2007, in class Reading: Nise Chapter 12 Reading for 2.140 students: A Vibration Isolation Platform, posted on course web page The following problems are assigned to both 2.14 and 2.140 students. Problem 1 Nise Chapter 12, problem 4 Problem 2 Nise Chapter 12, problem 6 Problem 3 Nise Chapter 12, problem 12 Problem 4 The following problem is taken from Franklin, Powell and Emami-Naeini, Feedback Control of Dynamic Systems, 4th Edition, Pentice-Hall, 2002. 7.14. Consider the system shown in Fig. 7.81: Figure 7.81 1 %-a A block diagram for 0 - - Problem 7.14 1 X3 (a) Find the transfer function from U to Y. (b) Write state equations for the system using the state variables indicated. Problem 5 The following problem is taken from Franklin, Powell and Emami-Naeini, Feedback Control of Dynamic Systems, 4th Edition, Pentice-Hall, 2002. 7 . h Consider the plant described by (a) Draw a block diagram for the plant with one integrator for each state variable. (b) Find the transfer function using matrix algebra.

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