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

What is session layer, Q. What is Session Layer? Session layer is used ...

Q. What is Session Layer? Session layer is used to allow users to identify themselves when waiting access to the network. This is concerned with setting up and sustaining an op

Determine the slip at maximum torque, A three-phase induction motor, operat...

A three-phase induction motor, operating at its rated voltage and frequency, develops a starting torque of 1.6 times the full-load torque and a maximum torque of 2 times the full-l

Mobile communications, Problem: (a) Compare the different MAC schemes...

Problem: (a) Compare the different MAC schemes, namely FDMA, SDMA, TDMA and CDMA. (b) Describe with help of diagrams the different phenomena involved in multipath propaga

Define asynchronous communication with serial communication, With respect t...

With respect to serial communication define the asynchronous communication. Asynchronous implies "no synchronization", and therefore does not require sending and receiving idl

What do you mean by double word, Q. What do you mean by Double Word? A ...

Q. What do you mean by Double Word? A double word is precisely what its name implies, two words. Thus, a double word quantity is 32 bits. Logically, this double word can be div

Clipper, how to write kvl equation in series clipper circuit without any ba...

how to write kvl equation in series clipper circuit without any battery

Explain common collector configuration, Q. Explain common collector configu...

Q. Explain common collector configuration? It is called the common-collector configuration because (ignoring the power supply battery) both the signal source and the load share

Find the slip and the rotor frequency at full load, Q. A three-phase, 50-Hz...

Q. A three-phase, 50-Hz induction motor has a full load speed of 700 r/min and a no-load speed of 740 r/min. (a) How many poles does the machine have? (b) Find the slip and t

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