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

Electrical Machines, Design a suitable double –layer lap winding for a 6-po...

Design a suitable double –layer lap winding for a 6-pole dc armature with 18 slots and two coil sides per slot. Give values of front-pitch, brack–pitch and commutator pitch. Draw t

Magnetic circuits with air gaps, The creation of a magnetic field in a ring...

The creation of a magnetic field in a ring may need to be accessed by means of an air gap. This is typically used to apply the magnetic field to a current carrying conductor to pro

Analog circuit analysis, consider a single stage ce amplifier with rs=1kohm...

consider a single stage ce amplifier with rs=1kohm,r1=50ohm,r2=2kohm,rc=1kohm,rl=1.2kohm,hfe=50,hie=1.1kohm,hoe=25microamp/volt and hre=2.5*10-4

Find resistance of the armature circuit and field circuit, When delivering ...

When delivering rated load a 10-kW, 230-V self excited shunt generator has an armature-circuit voltage drop that is 6% of the terminal voltage and a shunt-field current equal to 4%

Transfer function, how can i do a question concerning a transfer function

how can i do a question concerning a transfer function

Determine the steady state position error, Figure shows the block diagram o...

Figure shows the block diagram of an aircraft pitch stabilization system which uses position, velocity and acceleration feedback. i) Show that for a unit step input the steady s

Verniercallipars, what is a verniercallipar?what is its uses in labs?why it...

what is a verniercallipar?what is its uses in labs?why it is using o meassure he diameer and volume of cylendars?what is its least count?what is zero error?

Register to register , Register to Register  This  instruction  is u...

Register to Register  This  instruction  is used to copy data from the  source  register to the destitution register. The  previous contents on the  destination register wil

Electrical Engineering Design Report, hi there i just need help for Electri...

hi there i just need help for Electrical Engineering Design Report about any topic (prefer charger and inverter) which should be include Summary,Table of contents,Introduction,Body

Thunderstrom detector, Ask question #how to construct thunderstrom detector...

Ask question #how to construct thunderstrom detector with circuit breaker.

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