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R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii) not stable.
A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of the system will be (i) stable, (ii) not stable. RS) Cs) K s++38+10:2430s+150 0
Upload your answers to this question below or via the submission folder on Brightspace. Hz/s) R(s) Gi(s) Gr(s) G3(s) Ga(s) Cls) Hils) Consider the system described by the block diagram above. a. Find the transfer function of the system by reducing the diagram. b. Draw a signal-flow diagram for the given system. c. Using Mason's rule find the transfer function of the system. d. Compare your answers to part (a) and part (c). What do you notice? Explain.
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) = K s(s + 1)(s + 2)(8 + 6) a) Find the value of the gain K, that will make the system stable. b) Find the value of the gain K, that will make the system marginally stable. c) Find the actual location of the closed-loop poles when the system is marginally stable.
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
2. For the feedback system shown below: X 1 K s+3 S s+10 XX ) . - a Find the open loep gain. G6) k b. Find the closed foop galn S410 (EnXey& ke -3 . Find the open loop poles c. d. Find the epen loop zeros . Find K that makes 4 one of the closed loop poles. (h+5) Scanned by CamScanne
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...