what is the transfer function of the system (circuit)?
i need the mathematical model
i supose is current ;not sure
Y(s)
or
G(s)
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what is the transfer function of the system (circuit)? i need the mathematical model i supose...
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...
Mathematical model of a system is y" + 4y' + 3y = 2r(). Write system transfer function. 2 R 52 +3s 4 2 R s2 +4s +3 4 R 2+2s+3 R s2 +2s +3
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
System Modeling and Laplace transform: In this problem we will review the modeling proce- dure for the RLC circuit as shown below, and how to find the corresponding transfer function and step response Ri R2 Cv0) i2) i,(0) 3.1 Considering the input to be V(t) and the output to be Ve(t), find the transfer function of the system. To do that, first derive the differential equations for al the three loops and then take the Laplace transforms of them. 3.2...
Description of the behavior of a system using mathematics O Mathematical model O Transfer function O Model simulation O Linear system The law that states that if two inputs are scaled and summed and routed througha linear, time-invariant system, then the output will be identical to the sum of output due to the individual scaled inputs when routed through the same system. Principle of distribution Principle of homogeneity Principle of linearity Principle of superposition o o o o
Find the transfer function for the system represented below. VR, () R2 R vi(t) (+ Oooo 110) 1200) Assuming R1=R2=100 12. VR2(S) Vi(s) Ls 1+ 2Ls VR2(S) Vis) 2 + Ls 1+ 2Ls VR2(S) Vi(5) Ls 10000 + 2Ls VR2(3) 100+ Ls Vi(S) 100 + 2Ls Ls VR2(s) Vis) 100 + 2Ls
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...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
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3. a) For the circuit shown in Figure Q3 (a): i) Find the mathematical expression for the transient behaviour of the voltage 6 vc across the capacitor and the current ic when the switch is moved into position 1 at t- 0 s ii) Find the mathematical expression for the response of vc and ic if the switch 4 is moved into position 2 at t charging phase) τ (where τ is...
(i) Find the transfer function G(s) = Vo(s)/Vi(s) of this system using electrical impedances. Express the transfer function as a ratio of two s polynomials. (ii) Plot the output voltage v, as a function of time by means of the transfer function determined at (i) for an input voltage vi= 120e0.18 Volt, R2 = 110 9, R2 = 900, R3 = 100 0, L = 3H and C= 80-106 F. Use MATLAB's step command to plot volt). Also use Simulink...