Reference no: EM131264182
Consider the oven temperature control system described in Example 3.5 with transfer function
(a) Obtain the step response of the system with a PD cascade controller with gain 80 and a zero at 25.
(b) Obtain the step response of the system with PD feedback controller with a zero at 25 and unity gain and forward gain of 80.
(c) Why is the root locus identical for both systems?
(d) Why are the time responses different although the systems have the same loop gains?
(e) Complete a comparison table using the responses of (a) and (b), including the percentage overshoot, the time to first peak, the settling time, and the steady-state error. Comment on the results, and explain the reason for the differences in the response.
EXAMPLE 3.5
Find the z-domain transfer function of the furnace sketched in Figure 3.12, where the inside temperature Ti is the controlled variable, Tw is the wall temperature, and To is the outside temperature. Assume perfect insulation so that there is no heat transfer between the wall and the environment with heating provided through a resistor. The control variable u has the dimension of temperature scaled by an amplifier with gain K. The sampling period T = 5 1 s.
|
Explain why the phase margin is not defined for the system
: For a gain of 0.5, derive the gain margin and phase margin of the systems of Problem 4.6 analytically. Let T =5 1 with no loss of generality because the value of ωT in radians is all that is needed for the solution.
|
|
Calculate the before-tax and after-tax costs of debt
: Find the net proceeds from sale of the bond, Nd? Show the cash Flows from the firm's point of view over the maturity of the bond. Calculate the before-tax and after-tax costs of debt.
|
|
Underapplied or overapplied manufacturing overhead
: Osborn Manufacturing uses a predetermined overhead rate of $21.20 per direct labor-hour. This predetermined rate was based on 8,120 estimated direct labor-hours and $172,144 of estimated total manufacturing overhead. The company incurred actual total..
|
|
How vans use giveaways and contests to market its products
: How does Vans use giveaways and contests to market its products? - Why do these strategies work so well for Vans?
|
|
Why is the root locus identical for both systems
: Complete a comparison table using the responses of (a) and (b), including the percentage overshoot, the time to first peak, the settling time, and the steady-state error. Comment on the results, and explain the reason for the differences in the re..
|
|
Goods sold gross profit operating expenses net income year
: Presented here are the components in Wildhorse Co.’s income statement. Determine the missing amounts. Sales Revenue Cost of Goods Sold Gross Profit Operating Expenses Net Income Year
|
|
Develop and re-wrap the trivial console application
: COS30016/HIT3037 Programming in Java - Develop and re-wrap the trivial console application into a GUI Application which allows the users to perform similar operations as indicated in assignment 1 handout.
|
|
Discuss the importance of pricing decisions to the economy
: Discuss the importance of pricing decisions to the economy and to the individual firm. - Why is pricing so important to the marketing manager? - How does price allocate goods and services?
|
|
Plant operates five days per week with daily payroll
: Nathan Company's plant operates five days per week with a daily payroll of $50,000. Employees are paid every Tuesday for the prior week's work (Monday through Friday). The last day of the month is Tuesday, April 30. What effect does the accrual at Ap..
|