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(i) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) is neglected. [Sebagai anggaran, hitung julat K yang boleh diterima untuk sistem yang stabil apabila polinomial pengangka (sifar) diabaikan.] (ii) Determine the value of K that will make this system unstable (If any). [Tentukan nilai K yang akan menjadikan sistem ini tidak stabil (Jika ada). (iii) If this system does go unstable for this value of K, how many unstable poles are there? [Jika sistem ini tidak stabil untuk nilai K ini, berapakah bilangan kutub tidak stabil yang ada?]

(i) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) is neglected. [Sebagai anggaran, hitung julat K yang boleh diterima untuk sistem yang stabil apabila polinomial pengangka (sifar) diabaikan.] (ii) Determine the value of K that will make this system unstable (If any). [Tentukan nilai K yang akan menjadikan sistem ini tidak stabil (Jika ada). (iii) If this system does go unstable for this value of K, how many unstable poles are there? [Jika sistem ini tidak stabil untuk nilai K ini, berapakah bilangan kutub tidak stabil yang ada?]

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The stability of a motorcycle and rider is an important area for study because many motorcycle designs result in vehicles that are difficult to control. The handling characteristics of a motorcycle must include a model of the rider as well as one of the vehicles. The dynamics of one motorcycle and rider can be represented by a loop transfer function as shown in Figure 1(b). [Kestabilan motosikal dan penunggang merupakan satu bidang yang penting untuk dikaji kerana banyak reka bentuk motosikal mengakibatkan kenderaan yang sukar dikawal. Ciri-ciri pengendalian motosikal mestilah termasuk model penunggang serta salah satu kenderaan. Dinamik satu motosikal dan penunggang boleh diwakili oleh fungsi pemindahan gelung seperti yang ditunjukkan dalam Rajah 1(b).] K(S + 5) S2 + 8S + 4 1 R(s). Y(s) (S + 2) Figure 1(b) [Rajah I(b)] (i) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) is neglected. [Sebagai anggaran, hitung julat K yang boleh diterima untuk sistem yang stabil apabila polinomial pengangka (sifar) diabaikan.] (ii) Determine the value of K that will make this system unstable (If any). [Tentukan nilai K yang akan menjadikan sistem ini tidak stabil (Jika ada). 1 (iii) If this system does go unstable for this value of K, how many unstable poles are there? [Jika sistem ini tidak stabil untuk nilai K ini, berapakah bilangan kutub tidak stabil yang ada?]
Transcribed Image Text:The stability of a motorcycle and rider is an important area for study because many motorcycle designs result in vehicles that are difficult to control. The handling characteristics of a motorcycle must include a model of the rider as well as one of the vehicles. The dynamics of one motorcycle and rider can be represented by a loop transfer function as shown in Figure 1(b). [Kestabilan motosikal dan penunggang merupakan satu bidang yang penting untuk dikaji kerana banyak reka bentuk motosikal mengakibatkan kenderaan yang sukar dikawal. Ciri-ciri pengendalian motosikal mestilah termasuk model penunggang serta salah satu kenderaan. Dinamik satu motosikal dan penunggang boleh diwakili oleh fungsi pemindahan gelung seperti yang ditunjukkan dalam Rajah 1(b).] K(S + 5) S2 + 8S + 4 1 R(s). Y(s) (S + 2) Figure 1(b) [Rajah I(b)] (i) As an approximation, calculate the acceptable range of K for a stable system when the numerator polynomial (zeros) is neglected. [Sebagai anggaran, hitung julat K yang boleh diterima untuk sistem yang stabil apabila polinomial pengangka (sifar) diabaikan.] (ii) Determine the value of K that will make this system unstable (If any). [Tentukan nilai K yang akan menjadikan sistem ini tidak stabil (Jika ada). 1 (iii) If this system does go unstable for this value of K, how many unstable poles are there? [Jika sistem ini tidak stabil untuk nilai K ini, berapakah bilangan kutub tidak stabil yang ada?]
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