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

Role of gis in distribution reforms, Role of GIS in Distribution Reforms: ...

Role of GIS in Distribution Reforms: You will agree which distribution is the weakest link in the chain of power supply and has been identified as the key focus area in power

Design the low-pass filter, Q. Design the low-pass filter shown in Figure (...

Q. Design the low-pass filter shown in Figure (by determining L) to have a half-power frequency of 10 kHz.

The octal butters 74ls244, The Octal Butters 74LS244 It has  two group ...

The Octal Butters 74LS244 It has  two group  of four  buffer with  no inverted tri state  output ,  controlled by  two active  low  enable lines  (1G and 2G)  as shown in figur

Explain public mode, Explain PUBLIC For large programs several small mo...

Explain PUBLIC For large programs several small modules are linked together. In order that the modules link together correctly any variable name or label referred to in other m

Mini computers - introduction to microprocessors , Mini Computers Large...

Mini Computers Larger  computer  more  computing  power  having  capability to address  more  memory  and  more  speed  than  microcomputer called minicomputer. These computers

Karnaugh map, how can be a karnaugh map of the count of sequence: 0-5-6-9-1...

how can be a karnaugh map of the count of sequence: 0-5-6-9-11-14

State the principle of working of transformer, a) State the principle of wo...

a) State the principle of working of transformer. b) A 230/110 V, single-phase transformer takes an input of 350 volt-amperes at no load while working at rated voltage. The core

Explain n-type and p-type semiconductors, Explain n-type and p-type semicon...

Explain n-type and p-type semiconductors. n - Type semiconductor: If small amount of pentavalent impurity (group V elements) is added to a pure semiconductor giving a large

Energy bands, Energy Bands 1) Since isolated atoms are brought togethe...

Energy Bands 1) Since isolated atoms are brought together to make a solid, the electron wave functions begin to overlap. 2) Several interactions occur, and, at the proper i

Find the input resistance and output resistance, Quite often an amplifier i...

Quite often an amplifier is used as a component of an amplifier circuit. Consider the amplifier circuit shown in Figure, which contains an amplifier block as an internal component.

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