Question 2 A robot tennis player and its simplified control system for Ø(t) is shown below....
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
The open loop transfer function of a feedback system is given by G(s) = K / s (T1s+1) (T2s+1) Draw the Nyquist plot. Derive an expression for gain K in terms of T1, T2 and specific gain margin Gm
2. Given a unity feedback system with open-loop transfer function s+40s-I) a) For K-1, derive the expressions for the real and imaginary parts of G(jo). b) What happen to the real and imaginary parts of G(jo) for ω 0 and for Are there values of ω that either the real or imaginary part goes to zero? If not, compute Gijo) for some ovalue, say,, or 2, to help you sketch the Polar plot of Gja). c) d) Use Matlab to...
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
2. A unity feedback system has the following open-loop transfer function -0.5s + 0.5 G(s)i a) Obtain the Nyquist plot and analyze the stability of the closed loop system b) Compute the stability margins from the Nyquist plot.
4. Consider a unity-feedback control system with the following open-loop transfer function: G(s)3 Sketch a Nyquist plot of G(s) and examine the stability of the system.
4. Control of HIV/AIDS. The linearized transfer function relating virus count to a specific retroviral drug administration is R(s) G(s) Y(s) U(s) s3 +2.6817s +0.11s 0.0126 -520s-10.3844 PCs) =- = H(s) And the system operates within the standard feedback scheme we have been considering in class (see diagram). a) Let G(s) P(s), H(s) 1. Obtain the Nyquist plot (in Matlab). Evaluate the system for closed-loop stability b) Let G(s)P(s), H(s) 1. Obtain the Nyquist plot (in Matlab). Evaluate the system...
EEL 4652 Control Systems 1 (Fall 2018) Homework 4 Nyquist Stability Criterion + Frequency Domain Design Problem 1: Nyquist Plots and Closed-Loop Stability A unity feedback closed-loop system has a forward transfer function of KG(s). Sketch the Nyquist plot for each of the G(s) cases listed below, and then find if the closed loop system is stable and if not - how many RHP closed loop poles there are. Find it for all the relevant ranges of K for -o0SKo,...
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
Discuss the mathematical requirements for stability in a linear feedback system and state the Routh Stability criterion. (6 marks) (a) The open loop transfer function of a control system with unity feedback is given by: (b) 35 s(1 + Ts) (1 +0.25s) G(s) - Use Routh's criterion to determine the value of T for which the closed loop system is marginally stable. (8 marks) i Use the Nyquist criterion to confirm the values obtained in (i). (8 marks) ii Sketch...