B-2-13

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B-2-8. Obtain a state-space representation of the system shown in Figure 2-35. Figure 2-35 Control system. +p -14 B-2-9. Consider the system described by ÿ + 3y + 2y = u Derive a state-space representation of the system. B-2-10. Consider the system described by = -4 D-CD+D 3 -1 y = [10] Obtain the transfer function of the system. 14 B-2-11. Consider a system defined by the following state- space equations: N-BK+D 3 -1 X₁ y = [1 2] Obtain the transfer function G(s) of the system. B-2-12. Obtain the transfer matrix of the system defined by 0 A-AA-Q 0 0 1 X₂ + -2-4-6 01 00 A-DA X1 about a point x = 2. X₂ 0 B-2-13. Linearize the nonlinear equation z = x² + 8xy + 3y² in the region defined by 2 ≤ x ≤ 4, 10 ≤ y ≤ 12. B-2-14. Find a linearized equation for y = 0.2x² B-2-8. Obtain a state-space representation of the system shown in Figure 2-35. Figure 2-35 Control system. +p -14 B-2-9. Consider the system described by ÿ + 3y + 2y = u Derive a state-space representation of the system. B-2-10. Consider the system described by = -4 D-CD+D 3 -1 y = [10] Obtain the transfer function of the system. 14 B-2-11. Consider a system defined by the following state- space equations: N-BK+D 3 -1 X₁ y = [1 2] Obtain the transfer function G(s) of the system. B-2-12. Obtain the transfer matrix of the system defined by 0 A-AA-Q 0 0 1 X₂ + -2-4-6 01 00 A-DA X1 about a point x = 2. X₂ 0 B-2-13. Linearize the nonlinear equation z = x² + 8xy + 3y² in the region defined by 2 ≤ x ≤ 4, 10 ≤ y ≤ 12. B-2-14. Find a linearized equation for y = 0.2x²

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