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

Why negative feedback is employed in wein bridge oscillator, Q. Why negativ...

Q. Why negative feedback is employed in Wein Bridge Oscillator. Also explain the working of oscillator? The Wein Bridge Oscillator consists of two stages of the RC coupled ampl

Explain information obtained for the load flow analysis, Explain Informatio...

Explain Information Obtained for the Load Flow Analysis (i)  Magnitude and phase angle of the voltage at each bus. (ii)  Active and Reactive power flow in each line. (iii

Hahaha, Ask question #Minimum 10gzhahahaau0 words accepted#

Ask question #Minimum 10gzhahahaau0 words accepted#

Sketch the depletion mosfet drain characteristics, Q. Sketch the depletion ...

Q. Sketch the depletion MOSFET drain characteristics The depletion-type MOSFET has a structure similar to that of the enhancement-type MOSFET with one important difference: The

State norton''s theorem, Norton's Theorem Nortons Theorem states: "A...

Norton's Theorem Nortons Theorem states: "Any linear circuit containing several energy sources and resistances can be replaced by a single Constant Current generator in para

Chopper configuration - power supplies , Chopper Configuration Choppe...

Chopper Configuration Chopper are classified  in five  different classes according  to their operating capability in particular quadrant. The  current  directions and voltage

Definition of magnetism, Definition of  Magnetism Magnetism is explai...

Definition of  Magnetism Magnetism is explained as the force produced by charge particles (electrons) of magnet. A magnet is a material that obtained a magnetic field.

Electric machinery fundamentals, Ask qu1. If the resistor Radj is adjusted ...

Ask qu1. If the resistor Radj is adjusted to 175O what is the rotational speed of the motor at no-load conditions? 2. Assuming no armature reaction, what is the speed of the motor

Chemistry, write a short note on Scale

write a short note on Scale

Negative voltage regulator series, Negative Voltage Regulator series with N...

Negative Voltage Regulator series with Nine voltage options - IC 7900 Series The IC 7900 series of fixed output negative voltage regulators are complements to the 7800 seri

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