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Unformatted text preview: ECE 147A FEEDBACK CONTROL SYSTEMS  THEORY AND DESIGN F98 Midterm Exam Closed book and notes. No calculators. Show all work. Name: Problem 1: /10 Problem 2: /20 Problem 3: /20 Problem 4: /15 Total: /65 Problem 1 List at least two advantages of feedback control over openloop control. Name: Problem 2 The equations of motion for a particular shunt DC motor are given by ˙ x 1 = c 1 x 1 c 2 x 1 x 2 2 + c 3 x 2 u c 6 τ L ˙ x 2 = c 4 x 2 + c 5 u (1) where x 1 is the angular speed of the motor, x 2 is the field current, τ L is the load torque and u is an input voltage. The numbers c i are positive constants. For simplicity, let c i = 1 for i = 1 , . . . , 6. 1. Find the operating condition x 2 = ¯ x 2 and u = ¯ u corresponding to a constant angular speed ¯ x 1 = 0 . 75 and a constant load torque ¯ τ L = 0 . 25. 2. Find the transfer function from u ¯ u to x 1 ¯ x 1 at the operating condition from part 1. You may want to use the fact that " a 1 a 2 a 3 # 1 = " 1 /a 1 a 2 / ( a 1 a 3 ) 1 /a 3 # . Name:...
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This note was uploaded on 08/03/2010 for the course ECE PROF. VOLK taught by Professor Volkanrodoplu during the Spring '10 term at UCSB.
 Spring '10
 VolkanRodoplu

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