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

Single-axis autopilot control system of an aircraft, Q. Single-axis autopil...

Q. Single-axis autopilot control system of an aircraft? Figure (a) shows the block diagram of a simplified single-axis (pitch, yaw, or roll) autopilot control systemwith digita

Components of gis, Components of GIS: 1.  Software: GIS software gi...

Components of GIS: 1.  Software: GIS software gives the functions and tools required to store, analyze, and show geographical information. The key software elements are:

Reduction of sequential monte carlo in medium voltage, how can optimized th...

how can optimized the system through the matlab software?

How single stepping can be done in 8086, How single stepping can be done in...

How single stepping can be done in 8086? By setting the Trace Flag (TF) the 8086 goes to single-step mode. In this mode, after the implementation of every instruction s 8086 ge

Electronic devices technology and circuits, Please can you explain the oper...

Please can you explain the operation of a transistor in a Common Emitter Class A audio Amplifier?

Give the applications of steel, Give the applications of steel. Steel ...

Give the applications of steel. Steel : It contains iron with a small percentage of carbon added to this. Iron itself is not extremely strong but while carbon is added this as

Determine the speed at which the machine runs as a motor, A 100-kW, dc shun...

A 100-kW, dc shunt generator, connected to a 220-V main, is belt-driven at 300 r/min, when the belt suddenly breaks and the machine continues to run as a motor, taking 10 kW from t

The cross-sectional area of a wire of the same length, Some wire of cross-s...

Some wire of cross-sectional area 1mm 2 has a resistance of 20Ω. Determine: a)  The resistance of a wire of the same length and material if the cross-sectional area is 4 mm 2 .

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