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For the system shown in Figure 2, suppose that R(s) is the reference input signal and the D(s) is the disturbance input signal, with K and K, to be decided. D(s) R(s) E(s) |1(s) Y(s) u1(s) K Kr

For the system shown in Figure 2, suppose that R(s) is the reference input signal and the D(s) is the disturbance input signal, with K and K, to be decided. D(s) R(s) E(s) |1(s) Y(s) u1(s) K Kr

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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For the system shown in Figure 2, suppose that R(s) is the reference input signal and the D(s) is the disturbance input signal, with K and K, to be decided. D(s) R(s) E(s) u1(s) (s) Y(s) --2z + 2u K K Figure 2: 1 1). Find the closed-loop transfer functions G1(s) and G2(s) in E(s) = G1(s)R(s) + G2(s)D(s). 2). What are the damping ratio ( and natural frequency wn of this system ? Discuss the impact of K and K, on ç and wn. 3). Discuss the impact of K and K, on the tracking error e(0) for a unit-ramp reference signal and a unit-step disturbance signal.
Transcribed Image Text:For the system shown in Figure 2, suppose that R(s) is the reference input signal and the D(s) is the disturbance input signal, with K and K, to be decided. D(s) R(s) E(s) u1(s) (s) Y(s) --2z + 2u K K Figure 2: 1 1). Find the closed-loop transfer functions G1(s) and G2(s) in E(s) = G1(s)R(s) + G2(s)D(s). 2). What are the damping ratio ( and natural frequency wn of this system ? Discuss the impact of K and K, on ç and wn. 3). Discuss the impact of K and K, on the tracking error e(0) for a unit-ramp reference signal and a unit-step disturbance signal.
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