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Exercise 1: Obtain Bode Plot of the system having forward path transfer function of G(s) 400 s(5+s)(s+10) The gain cross over frequency, the phase cross over frequency, the Gain margin and phase margin of the system. Determine the stability based on phase cross over frequency and gain cross over frequency. Determine stability based on the gain margin and phase margin of the system.

Exercise 1: Obtain Bode Plot of the system having forward path transfer function of G(s) 400 s(5+s)(s+10) The gain cross over frequency, the phase cross over frequency, the Gain margin and phase margin of the system. Determine the stability based on phase cross over frequency and gain cross over frequency. Determine stability based on the gain margin and phase margin of the system.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Can I get assistance on how to plot this in matlab? Thank you.

Observe the system output by applying a sinusoidal input and using the `lsim` command as shown below. ```plaintext w = 0.3; t = 0:0.1:100; u = sin(w*t); [y, t] = lsim(Gs, u, t); plot(t, y, t, u); ``` ### Explanation: - **w = 0.3;** This line sets the frequency of the sinusoidal input. - **t = 0:0.1:100;** This defines a time vector `t` from 0 to 100 with increments of 0.1. - **u = sin(w*t);** This creates a sinusoidal input signal `u` by applying the `sin` function with the frequency `w` over the time vector `t`. - **[y, t] = lsim(Gs, u, t);** This command simulates the time response of a dynamic system with transfer function `Gs` to the input `u`, over the time vector `t`. It outputs `y`, the system's response, and `t`, the time vector. - **plot(t, y, t, u);** This plots the system's output response `y` and the input signal `u` against time `t`. This allows for a visual comparison of the input and output signals over time.
Transcribed Image Text:Observe the system output by applying a sinusoidal input and using the `lsim` command as shown below. ```plaintext w = 0.3; t = 0:0.1:100; u = sin(w*t); [y, t] = lsim(Gs, u, t); plot(t, y, t, u); ``` ### Explanation: - **w = 0.3;** This line sets the frequency of the sinusoidal input. - **t = 0:0.1:100;** This defines a time vector `t` from 0 to 100 with increments of 0.1. - **u = sin(w*t);** This creates a sinusoidal input signal `u` by applying the `sin` function with the frequency `w` over the time vector `t`. - **[y, t] = lsim(Gs, u, t);** This command simulates the time response of a dynamic system with transfer function `Gs` to the input `u`, over the time vector `t`. It outputs `y`, the system's response, and `t`, the time vector. - **plot(t, y, t, u);** This plots the system's output response `y` and the input signal `u` against time `t`. This allows for a visual comparison of the input and output signals over time.
**Exercise 1:** Obtain the Bode Plot of the system having a forward path transfer function of \[ G(s) = \frac{400}{s(5+s)(s+10)} \] - Determine the gain cross over frequency, the phase cross over frequency, the gain margin, and the phase margin of the system. - Determine the stability based on the phase cross over frequency and gain cross over frequency. - Determine stability based on the gain margin and phase margin of the system. *Note: This exercise requires knowledge of control systems and proficiency in analyzing Bode plots to determine system stability.*
Transcribed Image Text:**Exercise 1:** Obtain the Bode Plot of the system having a forward path transfer function of \[ G(s) = \frac{400}{s(5+s)(s+10)} \] - Determine the gain cross over frequency, the phase cross over frequency, the gain margin, and the phase margin of the system. - Determine the stability based on the phase cross over frequency and gain cross over frequency. - Determine stability based on the gain margin and phase margin of the system. *Note: This exercise requires knowledge of control systems and proficiency in analyzing Bode plots to determine system stability.*
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