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

Discuss dos function call with one example, Discuss DOS function call with ...

Discuss DOS function call with one example. DOS function call: So as to use DOS function calls, always place the function number in register AH and load all other pertinent

Define time constant, Time constant Time constant, defines as time for ...

Time constant Time constant, defines as time for current achieve maximum (IM) if this maintain the early promotion rate current.

Essay, Transmission parameters are more effective than the hybrid parameter...

Transmission parameters are more effective than the hybrid parameters for simulation of the transmission line

Illustration of embedded web technology, Illustration of embedded web techn...

Illustration of embedded web technology An oven comprise an embedded processor. Owner can use a web ready mobile phone anywhere to control the oven remotely. By accessing a

Interrupts, how the interrupts are affected by system rest

how the interrupts are affected by system rest

Explain by using a circuit diagram a darlington pair, Q. Explain by using a...

Q. Explain by using a circuit diagram, a ‘Darlington Pair'. Mention its advantages? THE DARLINGTON PAIR : This is a very special way of direct coupling of two transistors. The

What are cu and neu in 8087, What are CU and NEU in 8087? CU-Control un...

What are CU and NEU in 8087? CU-Control unit NEU- Numeric extension unit. The numeric extension unit implements all the numeric processor instructions whereas the control un

Perform analysis and calculate the values of vgs, A small signal amplifier ...

A small signal amplifier circuit is given in figure Q 4. The values of RD and RS must be set such that the gain of the system is 8. It is also known that Vgs = ¼ Vp. a). Per

Determine potential drop between the terminals of a battery, The potential ...

The potential drop between the terminals of a battery is equal to the battery's EMF when: a) No current is drawn from the battery b) A very large current is drawn from th

Explain the term- electronic mail, Explain the term- Electronic Mail (email...

Explain the term- Electronic Mail (email) Another form of communication is through email. This has the below advantages over video conferencing: -  There are no language pro

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