midterm98 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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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 open-loop 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 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, 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 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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midterm98 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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