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1 y (Is² +Cs) (TS+1) KDS Figure 3 (i) Using the Routh-Hurwitz stability criterion show that increasing Kp tends to destabilise the control system, but that increasing KD makes the system more stable. (ii) In order to improve the system's tracking performance, an integral term, Ki is added to the controller such that K₁ *-(K, +4)* u= e Show that for the parameters given below the maximum value of Ki for stable operations is 3.48. Parameter Kp KD I CT Value 3 15 05 2 1 e Kp u +

1 y (Is² +Cs) (TS+1) KDS Figure 3 (i) Using the Routh-Hurwitz stability criterion show that increasing Kp tends to destabilise the control system, but that increasing KD makes the system more stable. (ii) In order to improve the system's tracking performance, an integral term, Ki is added to the controller such that K₁ *-(K, +4)* u= e Show that for the parameters given below the maximum value of Ki for stable operations is 3.48. Parameter Kp KD I CT Value 3 15 05 2 1 e Kp u +

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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1 y (Is² +Cs)(rs+1) KDS Figure 3 Using the Routh-Hurwitz stability criterion show that increasing Kp tends to destabilise the control system, but that increasing KD makes the system more stable. (ii) In order to improve the system's tracking performance, an integral term, Ki is added to the controller such that u= K₁+ +K)0 P Show that for the parameters given below the maximum value of Ki for stable operations is 3.48. Parameter Kp KD I C T Value 3 1.5 0.5 2 1 e Kp u +
Transcribed Image Text:1 y (Is² +Cs)(rs+1) KDS Figure 3 Using the Routh-Hurwitz stability criterion show that increasing Kp tends to destabilise the control system, but that increasing KD makes the system more stable. (ii) In order to improve the system's tracking performance, an integral term, Ki is added to the controller such that u= K₁+ +K)0 P Show that for the parameters given below the maximum value of Ki for stable operations is 3.48. Parameter Kp KD I C T Value 3 1.5 0.5 2 1 e Kp u +
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