Answer Happy

Q3) Consider the system described by the transfer function 3 Y(S) G(s) U(s) (s + 1)(s +3) (a) Draw the block diagram corresponding to this system in control canonical form, define the state vector, and give the corresponding description matrices F, G, H, J. (b) Write G(s) in partial fractions and draw the corresponding parallel block diagram with each component part in control canonical form. Define the state and give the corresponding state description matrices A, B, C, D. (c) By finding the transfer functions X/U and XZ/U of part (a) in partial fraction form, express Xi and xz in terms of {1 and 2. Write these relations as the two-by-two transformation T such that x = T}. (d) Verify that the matrices you have found are related by the formulas A = T-FT, B = T-16, C = HT, D = J.