Page 214 - MATLAB an introduction with applications

Control Systems ——— 199

x 
1

]
y = [12 0 x

2
x 

3
Determine the controllability and observability of the system using MATLAB.
P3.38: Determine the eigenvalues of the following system using MATLAB.
 0 1 0  0  


x =  0 1 − 5 x +  
0 u
   
1  
− 21 3    

y = [0 0 1]x
P3.39: For the following path of a unity feedback system in state space representation, determine if the
closed-loop system is stable using the Routh-Hurwitz criterion and MATLAB.
 0 1 0 0  

x =  0 1 5 x +  

0 u
   
− 3 − 4 − 5   
1  

y = [0 1 1]x
P3.40: Consider the differential equation system given by
4y + 3y = 0, y (0) = 0.2 and y (0) = 0.1
y +
Find the state space equation for the system. Also, obtain the response y(t) of the system subject to the
given initial conditions using MATLAB.

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