讲解 data编程、辅导 Java/Python程序
2024 Summer Process Control
Homework #2 (100)
Problem #1 (20)
Find the time function corresponding to each of the following Laplace transforms using partialfraction
expansions:
Problem #2 (30)
Solve the following ODEs using Laplace transforms:
Problem #3 (30)
Find the solution of the equation
Plot the solutions for 0 ≤ ≤ 2 and values of ℎ = 1,10,100 and the limiting case of ℎ → ∞ (or
ℎ( ) = ( )). Place all four plots on a single figure.
Problem #4 (20)
For the temperature profile on the figure, write function T(t) and Laplace transform T(s). Check
the result in Matlab.
Bonus Problem (10)
For a stirred-tank heater, assume the transfer function between the heater input change ( )
(cal/sec) and the tank temperature change ( ) (°C) can be modeled as
a) find the steady-state response for a unit rectangular pulse change in the heating rate
b) repeat the calculation in (a) for a unit ramp ( ) = 1/
2