a. Using the step-invariant method, obtain the discretized form of the state equation for the continuous time system <= {x} (= }₁0( ) de X X₁ + 1 u (t) 1 1 X X2 0.1 X₂ 1 Assuming a sampling interval T= 0.2 seconds b. Design a minimum time controller for the discretized sytem obtained in 1.a c. In your own words clearly explain the importance of digital controls?

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question 1 B
a. Using the step-invariant method, obtain the discretized form of the
state equation for the continuous time system
= {x} [= }₁0( ) [×₁)
X =
+ 1
u (t)
=
1 1 x
X2
0.1
X₂
1
Assuming a sampling interval T= 0.2 seconds
b. Design a minimum time controller for the discretized sytem obtained in
1.a
c. In your own words clearly explain the importance of digital controls?
Transcribed Image Text:Question 1 B a. Using the step-invariant method, obtain the discretized form of the state equation for the continuous time system = {x} [= }₁0( ) [×₁) X = + 1 u (t) = 1 1 x X2 0.1 X₂ 1 Assuming a sampling interval T= 0.2 seconds b. Design a minimum time controller for the discretized sytem obtained in 1.a c. In your own words clearly explain the importance of digital controls?
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