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

Vlsi, what is the difference between latch and flipflop

what is the difference between latch and flipflop

Explain the operation of the counter, Q. Figure shows the mod-8 counter whi...

Q. Figure shows the mod-8 counter which counts from 010 to 710 before resetting. Explain the operation of the counter and sketch the timing diagram.

Dc basing bits, Dc basing bits: Operating point: operating is cut off...

Dc basing bits: Operating point: operating is cut off; saturation and linear region of bits character are provided as follow: (1)  Linear-region operation (2)  (1)

Types of bias circuit for class a amplifiers, Types of bias circuit for Cla...

Types of bias circuit for Class A amplifiers: There are five common types of biasing circuits used with Class A bipolar transistor amplifiers: A. Fixed bias B. Collector

Advantages of software defined radio, Advantages of SDR 1. Easy to upgr...

Advantages of SDR 1. Easy to upgrade 2. Great flexibility. It can be dynamically updated with new software without any changes in hardware 3. Due to reduced number of har

A 450 ns eprom won''t work directly with a 5mhz 8088, A 450 ns EPROM won't ...

A 450 ns EPROM won't work directly with a 5MHz 8088.Why? Explain. While the 8088 is operated along with a 5 MHz clock, it permits 460 ns for the memory to access data. Due to t

What is the procedure of binary subtraction, Q. What is the procedure of Bi...

Q. What is the procedure of Binary Subtraction? The Rules of Binary subtraction 0 - 0 = 0 0 - 1 = 1 , and borrow 1 from the next more significant bit 1 -

Critical field circuit resistance and critical speed, Q.   Define and expla...

Q.   Define and explain the critical field circuit resistance and critical speed of a DC shunt generator.   Ans. The OCC and R - line for a DC shunt generator. As, R f is

Difference between write-through and write-back caches, The comparison can ...

The comparison can be made out of two feature 1) Performance and 2) Integrity of Data Write through is better in integrity as it will flush for every writes. Write b

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