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

Difference, Difference between bootstrip sweep circuit and Miller sweep ci...

Difference between bootstrip sweep circuit and Miller sweep circuit

Ac generators - the alternator, In practice, it is usually better to wind t...

In practice, it is usually better to wind the field coils on the rotor and supply the field current to them via slip rings.  As the rotor turns, the changing magnetic field expe

Collector-to-base bias, Collector-to-base bias: Figure: Collec...

Collector-to-base bias: Figure: Collector-to-base bias This configuration uses negative feedback to avoid thermal runaway and stabilize the operating point. In th

FRACTIONAL PID TUING USING GA FOR LOAD FREQUENCY CONTROL, Iam doing my proj...

Iam doing my project on LFC using tuned FOPID.I have considered a two area model..I need help regarding my project.i need help regarding implementation of GA MATLAB code for a two

Zener diode, how does a zener diode works.

how does a zener diode works.

What are the different functional units in 8086, Bus Interface Unit and imp...

Bus Interface Unit and implementation unit, are the two dissimilar functional units in 8086.

Discuss all the five software interrupt instructions, Discuss all the five ...

Discuss all the five software interrupt instructions. The INTEL family microprocessor consist of software interrupts INT, INT0, INT3 and BOUND and IRET. Out of all these five

Derive an expression for the electric force, Q. A two-winding system has it...

Q. A two-winding system has its inductances given by where k 1 and k 2 are constants. Neglecting the winding resistances, derive an expression for the electric force when

Frequency synthesized signal generator, Q. what is frequency synthesized si...

Q. what is frequency synthesized signal generator? Describe its circuit in detail. OR Give the circuit details of frequency synthesizer also explain its working. OR

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