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ECE486 Assignment # 06 Solution


Question 1
With an example, discuss the benefits of using state-space control design. (4 Points)

Question 2
Consider a system 𝐱̇ = 𝐀𝐱 + 𝐁𝑒; 𝐲 = 𝐂𝐱
0 1 0 0
where, 𝐴 = [ 0 0 1 ];𝐡 = [0];𝐢 = [1 1 0]
βˆ’1 βˆ’1 βˆ’2 1
Write down a transfer function representation of the system.

Question 3
Consider the system: (4 Points)
0 0 π‘Ž3 0
π‘₯Μ‡ = (1 0 π‘Ž2) π‘₯ + (0) 𝑒 ; 𝑦 = (0
0 1 π‘Ž1 1
0 1)π‘₯
(a) Are there real values for a1, a2, a3 that make the system non controllable? (6 Points)
(b) Are there real values for a1, a2, a3 that make the system non observable? (6 Points)

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