SYSTEMS AND CONTROL
State Space Homework
0. (a) Write a dynamic model of the system shown in Figure 1 in state space form. Use
the voltage across the capacitor and its derivative as the two components of the state
vector. Assume that the system is initial
SYSTEMS AND CONTROL State Space Homework 0. (a) Write a dynamic model of the system shown in Figure 1 in state space form. Use the voltage across the capacitor and its derivative as the two components of the state vector. Assume that the system is initial
Problem 0: For the Open Loop Magnitude and Phase Plots shown below
1
L( s ) =
s( s + 1) 2
Find 1) Gain Crossover Frequency, g 2) the Phase Crossover Frequency, 3) Gain
Margin (linear and dB), and 4) the Phase margin (in degrees and radians). Also, 5) find
SYSTEMS AND CONTROL
HW #2
8. (a) Write a dynamic model of the system shown in Figure 1 as a second order linear
differential equation. Use the voltage across the capacitor as the output. Assume
that the system is initially at rest.
Figure 1
(b) Find the o
Problem 0: For the Open Loop Magnitude and Phase Plots shown below
1
L( s ) =
s( s + 1) 2
Find 1) Gain Crossover Frequency, g 2) the Phase Crossover Frequency, 3) Gain
Margin (linear and dB), and 4) the Phase margin (in degrees and radians). Also, 5) find