Problem 2 The system of Problem l is operated with Ki = K2 = K Sketch the root locus of the poles of the closed-loop sys
Posted: Sun May 15, 2022 2:20 pm
Problem 2 The system of Problem l is operated with Ki = K2 = K Sketch the root locus of the poles of the closed-loop system, showing important features, including: segments on the real axis, asymptotes for large values of K, and crossing(s) of the imaginary axis. Continued on next page
Problem 1 A certain plant has the following state-space description 1 = 12 12 = 10.01 - 3x2 + u y = 2 (a) Determine G(s), the transfer function of the plant. Hint: Since this system appears in the following problems, it is recommended that you calculate the transfer function by two different methods. (b) The forward loop of the closed-loop system F(3) H(s) = 1 + F(s) comprises the plant of part (a) and PI compensator. Thus the forward loop transfer function is Kia K2 F(s) = 2G(8) 8 Determinc thc region in the Ky, K1 planc (if any) in which the closed-loop system is stable.
Problem 1 A certain plant has the following state-space description 1 = 12 12 = 10.01 - 3x2 + u y = 2 (a) Determine G(s), the transfer function of the plant. Hint: Since this system appears in the following problems, it is recommended that you calculate the transfer function by two different methods. (b) The forward loop of the closed-loop system F(3) H(s) = 1 + F(s) comprises the plant of part (a) and PI compensator. Thus the forward loop transfer function is Kia K2 F(s) = 2G(8) 8 Determinc thc region in the Ky, K1 planc (if any) in which the closed-loop system is stable.