midterm01_sol

midterm01_sol - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY...

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ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND DESIGN F01 Midterm Exam Closed book and notes. No calculators. Show all work. Name: Solution Problem 1: /10 Problem 2: /20 Problem 3: /20 Problem 4: /10 Total: /60 Problem 1 Describe the three main characteristics of a good loop shape, i.e., the characteristics of | C ( ω ) P ( ω ) | . 1. High gain (i.e., large | C ( ω ) P ( ω ) | ) at low frequency; 2. Low gain (i.e., small | C ( ω ) P ( ω ) | ) at high frequency; 3. gentle slope at the crossover frequency.
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Name: Problem 2 A certain controlled RC circuit with nonlinear resistor obeys the ordinary diferential equation ˙ v = - v + 2 v 2 - v 3 + 5 u y = v . 1. Determine the transFer Function that approximates the circuit operating near the voltage v * = 0 . 5. 2. Build a controller (perhaps containing a pre±lter) that, in a negative unity Feedback con±gu- ration, makes the approximate closed-loop transFer Function near the voltage v * = 0 . 5 Type I and has a step response with overshoot less than or equal to 10% and settling time less than
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midterm01_sol - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY...

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