Consider a plant described by the following transfer function S +1 G(s) s2 + 10s + 24 (a) Formulate the state-space repr

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Consider A Plant Described By The Following Transfer Function S 1 G S S2 10s 24 A Formulate The State Space Repr 1 (45.93 KiB) Viewed 29 times

Consider a plant described by the following transfer function S +1 G(s) s2 + 10s + 24 (a) Formulate the state-space representation of the system in the standard form: X(t) = AX(t) + Bu(t) y(t) = Cx(t) (b) Determine controllability and observability of the system. (c) Determine a closed-loop control of the system by introducing a state feedback u(t) = -Kx(t). Compute using Matlab the feedback gain K by so that the resulting system has the eigenvalues 11 = -4 – 25.46 and 12 = -4 + j5.46. (d) Now introduce a full-order state observer in the feedback. Determine suitable observer pole locations (e) Compute the observer gain vector using Matlab