ECE3709-HW09-fa19.pdf - Z Yu 1 ECE 3709 Control Systems Engineering Homework Assignment 9 Due Tuesday 26 November 1 Given the following turbine governor

# ECE3709-HW09-fa19.pdf - Z Yu 1 ECE 3709 Control Systems...

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Z. Yu 1 ECE 3709: Control Systems Engineering Homework Assignment 9 Due Tuesday, 26 November 1. Given the following turbine - governor system, in which G(s) = G c (s)G g (s)G t (s)G m (s),where Figure 1 1 2 . 0 1 ) ( + = s s G g is the governor’s transfer function, 1 5 . 0 1 ) ( + = s s G t is the turbine transfer function, 8 . 0 10 1 ) ( + = s s G m represents the machine and load transfer functions, G c (s) is the load frequency control (LFC) compensation to be designed. a. Assuming G c (s)=K, find the value of K that will result in a dominant pole with ζ=0.7 . Obtain the corresponding T s . b. Design a PID controller to obtain the same damping factor as in Part a, but with a settling time of 2 seconds and zero steady-state error to step input commands. c. Verify your results using a MATLAB simulation. 2. Repeat Problem 1 using a lag-lead compensator. Design for a steady state error of 1% for a

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Unformatted text preview: step input command. 3. A position control is to be designed with a 20% overshoot and a settling time of 2 seconds. The components which composed the system are: • An amplifier and a power amplifier to drive the motor, whose cascaded transfer function is K 1 /(s+20) . • Two pots are available to convert shaft position into voltage; the transfer function is 1/2. • A dc motor w hose transfer function is 20/s(s+2 ). a. Draw a complete block diagram of the system, specifying the transfer function of each component when t he system is operating with 20% overshoot. b. What will the steady-state error be for a unit ramp input? c. Determine the transient response characteristics....
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