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Solving State Space Representation

Consider the following system whose state space representation is as follows:

x'1 1 1 0 x1 2

x'2 = 0 -1 1 x2 + -1 u

x'3 13 -1 -2 x3 -2

y = [1 1 0]x

a) Check the stability of the system
b) Design a feedback controller to move (only) the unstable pole to s= -3.
c) Check that the closed loop system will have the required eigenvalues.


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