EXAM PACK
2025
,ACT3701
Assessment 05
Due October 2025
, Assessment 5
A control system for a solar tracking mechanism is given in state-space form by
0 6 0
ẋ = Ax + Bu, A= , B = ,
−1 −5 1
where x = [θ, ω]T . Determine:
(a) the roots of the characteristic equation (the eigenvalues of A),
(b) the state transition matrix Φ(t) = eAt .
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