system is described by the following differential equation, Find the transfer function y(s)/x(s)
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A system is described by the differential equation −5y′′(t)−3y′(t)+3y(t)=ys(t), Find the transfer function associated with this system H(s). Write the solution as a single fraction in s. H(s)=_______________?
Find transfer function by differential method A-2-11. Obtain the transfer function of the system defined by 1 10x 0 0 -2 x y= [1 0 01x2
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
Question 1 a) Define the term transfer function in relation to a linear control system. [5 marks] Figure Q1 shows a block diagram of a feedback control system, with a plant with transfer function G(s) , a controller with transfer function C(s) , and a sensor with transfer function H(s) . b) Derive from first principles the closed loop transfer function G (s) cl from the reference signal r(t) , to the output signal y(t) . [5 marks] c) Give...
9. For the transfer function: Find its state space representation. 10. A system is described by the following differential equations: Find its state space representation.
2. what is the transfer function of the system? The continuous-time system shown in the figure consists of two integrators and two scalar multipliers. r(t) e(t) y(t) w(t) 1. Write a differential equation that relates the input x(t) and the output y(t)
you can use matlab to solve 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...
2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for the response y[n]. Use Matlab to calculate the coefficients c) Simulate and plot the response using Matlab.(stem plot) Generate 50 points. (Matlab: x ones(1,50)); 2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for...
Determine which of the following is true for the transfer function below: C(s) 2(8+1) R(8) 8(8+2) = (Hint: Poles are the roots for the denominator of the transfer function denoted by "x" in the graph and Zeros are the roots for the numerator of the transfer function denoted by "o" in the graph) System is overdamped System is undamped jw الماز s-plane s-plane O -2 -2 -1 The transfer function of the system described by dy + 3 + 2y...