Find differential equation & state-space representation, Electrical Engineering

Assignment Help:

1. For the following network:

a. Find the differential equation assuming that v(t) is the input and the charge on the capacitor q(t) is the output. Hints: iR1= (iR2 + iL), iR2 = (vL + vC) / R2, iL = iC = dq/dt and page 114.

2450_circuit diagram.png

b. Find the state-space representation. Give your answer in vector-matrix form assuming the following values L = 1 H, C = 1 F and R1 = R2 = 1 Ω.

Represent the following transfer function in state space. Give your answer in vector-matrix form.

555_firm equation.png

 Extra credit: Find the transfer function G(s) = Y(s) / R(s) for the following system represented in state space.

1036_matrix xy.png


Related Discussions:- Find differential equation & state-space representation

Sign flag - sub subtract instruction , Sign flag Since D 7  bit in ...

Sign flag Since D 7  bit in the  results is 0sign flag is reset. This also  shown that the results is positive.

Clapp oscillator, having looked at the circuit, i first wanted to start my ...

having looked at the circuit, i first wanted to start my frequency from 0 and plot for 10000 to 20000. so in matlab i used f = 0:10000:20000; but the equation for frequency is f= 1

The a.c/d.c. generator - electromagnetic torque, Note, the armature curren...

Note, the armature current is produced in pulses as the armature rotates under the poles, so the torque also pulsates. This can give rise to extra wear on bearings and the engin

Grey code to excess 3 using nand gates, I need to do this experiment. Can a...

I need to do this experiment. Can anyone help me out doing this

Write a short note on rs-232-c, Write a short note on RS-232-C. The RS-...

Write a short note on RS-232-C. The RS-232 standard is a collection of connection standards among different pieces of equipment. The EIA RS-232 serial communication standard is

How can a jfet be used as a voltage controlled resistor, Q. How can a JFET ...

Q. How can a JFET be used as a voltage controlled resistor. Explain from drain characteristics? The region to the left of the pinch off locus is referred to as the ohmic region

Working out the function of a combination of gates, Working out the functio...

Working out the function of a combination of gates? Truth tables are able to be used to work out the function of a combination of gates. Inputs Outputs

Explain stages of attending to rail fracture, Q. Explain stages of attendin...

Q. Explain stages of attending to Rail fracture? Various stages of attending to Rail fracture / weld failure in a L.W.R. track in field - Equipment required - i) Special

amp circuit , Refer to the op amp circuit shown below. Let R 1 = ...

Refer to the op amp circuit shown below. Let R 1 = 140 k_, R 2 = 10 k_, R 3 = 10 k_, R 4 = 20 k_, RL = 10 k_. Assume the op amp is ideal. Find the equation relating the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd