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

Determine the fall-off rate, Q. A low-pass filter circuit is shown in Figur...

Q. A low-pass filter circuit is shown in Figure. Using a PSpice program and PROBE, obtain the Bode magnitude plot for the transfer function ¯H(f) = ¯V out / ¯V in for the frequ

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

What is the per-unit slip at full load, Q. A three-phase, 60-Hz induction m...

Q. A three-phase, 60-Hz induction motor runs at almost 1800 r/min at no load, and at 1710 r/min at full load. (a) How many poles does the motor have? (b) What is the per-unit

Differentiate between n and p type semiconductors, Differentiate between n ...

Differentiate between n and p type semiconductors. n - Type semiconductor:- (i) If small amount of pentavalent impurity is added with, to a pure semiconductor giving a la

Instrument, Differentiate between dual beam and dual trace oscilloscope

Differentiate between dual beam and dual trace oscilloscope

Microprocessor system, A burglar alarm system is controlled by a microproce...

A burglar alarm system is controlled by a microprocessor system. The system has three independent circuit each consisting of 7 passive infra red sensors. The controller can be prog

What is dmx, What is DMX? It is a communications protocol between step ...

What is DMX? It is a communications protocol between step motors, actuators and an electronic circuit. A kind of language among elements there different manufacturers can use c

Calculate the total power supplied to the divider circuit, There is often a...

There is often a need to produce more than one voltage from a single supply using a voltage divider. For example, the memory components of many personal computers require voltages

Determine the response of a series r-c circuit, Determine the response of a...

Determine the response of a series R-C circuit to a SQUARE wave. Explain how the time constant affects the waveform observed across the components. Illustrate your answer by means

Compute the current loss in the lines, Q. Consider a 240-V supply feeding a...

Q. Consider a 240-V supply feeding a resistive load of 10 kW through wires having a total resistance of R = 0.02 . For the same load, let a 120-V supply be used with a total wire

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