Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s)...
Consider a pneumatic actuator represented by 1000 G(s) = (s + 100)(s + 10)" (a) What is the logarithmic gain (dB) at w = 10 rad/s? (b) What is the logarithmic gain (dB) at w = 200 rad/s? (c) What is the phase angle at w = 700 rad/s? (d) Create the Bode plot for this system.
2. An active suspension system for AMTRAK trains uses a pneumatic actuator in parallel with the passive suspension system. The force of the actuator subtracts from the force applied by the ground, as represented by displacement ⅞φ. Acceleration is sensed by an accelerometer, and signals proportional to acceleration and velocity are fed back to the force actuator (50pt). You may use MATLAB for this problem Obtain the transfer function s Im(S)/Yg(S) relating acceleration to ground displacement (15pt) Assuming that M=1,...
singal and
system
QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...