hw12-s10-4300 - (1 K v = 600 sec-1(2 Phase margin ≥ 50...

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ECE 382 Homework 12 Due: Thursday, March 4, 2010 (I) Consider the automobile cruise-control system as shown in HW#11. Assume that the sensor gain H ( s ) = 1 rather than the value of 0.4 as shown in the figure. The design specifications are given as: (1) Phase margin 50 (2) Gain margin 40 db. (a) What is the gain margin and phase margin of this uncompensated system? (b) Find the transfer function of a series compensator that will make the overall system satisfy the above given specifications. (c) Check the gain margin and phase margin whether the compensated system meets the above specifications. (d) From your designed compensator transfer function G c ( s ) , determine the values of re- sistors and capacitor of the compensating network. (II) A unity feedback system has an open-loop transfer function G ( s ) = 10 5 s ( s + 30 )( s + 300 ) . The design specifications are given as:
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Unformatted text preview: (1) K v = 600 sec-1 (2) Phase margin ≥ 50 ◦ (3) Gain margin ≥ 10 db. (a) Design a series compensator G c ( s ) that will make the system satisfy the above specifi-cations. (b) Repeat (a) with a phase-lead network and discuss the performance of the compensated system. Final Exam Schedule and Information Date: Monday, March 8, 2010 Time: 4:30 – 6:30 PM Place: EE 234 Materials: • The exam covers “everything” and is a closed-book exam. At least 20% of the exam material will come from the “compensator design” lectures. • You can bring in a SIMPLE calculator. • The exam format will be the same as previous tests, consisting of True/False questions, multiple-choice questions, and analytical problems, etc. • A formula sheet will be given at the exam for your reference....
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