Find the transfer function, G(s) = C(s)/R(s), corresponding to the differential equation d^3 c/dt^3 + 3...
Laplace transfer functions and ODE? 1) Here is a differential equation. Please find the Laplace transfer function C(s)/R(s). Note that Initial conditions are zero. ***answer provided, please show work ANS: 2) Here is a Laplace transfer function. Please find the corresponding ODE. ANS: dct) 9, ... - 4 20rc and²c(t) , - dt2 CE) 2 dct) dr(t) . - + 20r(t) + 5 - 2- d+3 dt dt² 57년 5월 S P(s) = C(9) = 52+4 R(S) (s*+1) dic tur...
Problem 1a (6 points): Find the differential equation associated with the transfer function: C(S) = R(S) 53 +52 + 1 e-ST
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
I need to solve the following differential equation in Matlab. dr/dt*pi(3r - r^2) = -0.5*sqrt(17r) How would I write the code for this? Please keep it as simple as possible as I'm new to Matlab.
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...
b) The following differential equation represents a mechanical system. dt Determine the transfer function of the system given that the system was initially relaxed. (12 marks)
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Find the time constant t of the following differential equation: a(dy/dt)+by+cx=e(dx/dt)+f(dy/dt)+g, of the given that x is the inout, y is the output, and a through g are constants. 13, Find the time constant τ from the following differential equation, dt dt given that x is the input, y is the output and, a through g are constants. It is known that for a first-order instrument with differential equation a time constant r- alao dy the 13, Find the time...
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
1. Use Matlab to solve the differential equation (d^2φ/dt)=-(g/R)sin(φ), for the case that the board is released from φ0 = 20 degrees, using the values R = 5 m and g = 9.8 m/s^2 . Make a plot of φ against time for two or three periods. To do this, you'll need two .m files: one with your main code, which calls ode45, and one with the differential equation you're solving. 2. On the same picture, plot the approximate solution...