Consider a system described be the state-space equation X(t) = AX(t) + Bu(t) = 1-2 ]<0 +(-2)«50 y(t) = Cx(1) = [1 0x(1)

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Consider A System Described Be The State Space Equation X T Ax T Bu T 1 2 0 2 50 Y T Cx 1 1 0x 1 1 (34.17 KiB) Viewed 18 times

Consider a system described be the state-space equation X(t) = AX(t) + Bu(t) = 1-2 ]<0 +(-2)«50 y(t) = Cx(1) = [1 0x(1) A standard feedback controller u(t) = -Kx(1) is used. The desired eigenvalues for the closed system are at -2 +2j a) Find the desired characteristic polynomial. b) Calculate the feedback gain K by hand calculation by equating the coefficients in A1 - A+BK with those in the desired characteristic polynomial c) Write a Matlab script that verifies that gain vector K calculated in (b) is correct