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.

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.

 Extra credit: Find the transfer function G(s) = Y(s) / R(s) for the following system represented in state space.

Posted Date: 3/1/2013 5:29:08 AM | Location : United States

Ask an Expert

Related Discussions:- Find differential equation & state-space representation, Assignment Help, Ask Question on Find differential equation & state-space representation, Get Answer, Expert's Help, Find differential equation & state-space representation Discussions

Write discussion on Find differential equation & state-space representation
Your posts are moderated

Write your message here..

Related Questions

transmisson medium, Can I find out the salution of electrods Transmissio... Can I find out the salution of electrods Transmission medium light sound uncoupling magnet for high dc cycle.

Basic architecture of digital switching systems, Q. Explain the basic archi... Q. Explain the basic architecture of digital switching systems. Explain in detail companding. Ans: A simple N X N time division space switch is displayed in Figure. Switch

Determine the total power in balanced delta-connected load, Q. Two wattmete... Q. Two wattmeters are used, as shown in Figure, to measure the power absorbed by a balanced delta-connected load. Determine the total power in kW, the power factor, and the per-pha

Network theorems.., how to calculate voltage when 3 voltage sources are giv... how to calculate voltage when 3 voltage sources are given?

V-i characteristics - power semiconductor devices , V-I Characteristics ... V-I Characteristics  In the  normal  mode of  operation of an IGBT  a positive  voltage is applied to the collector relative to emitter. When  the gate is at zero potential wi

Sensor selection, Research and recommend a sensor for a real full size conv... Research and recommend a sensor for a real full size conveyor system of approximately 1000mm width to detect objects of varying size passing along it. Discuss the suitability of th

Current and voltage polarity, why Direct current flow through semiconductor... why Direct current flow through semiconductors but alternating current cannot flow?

Core electron binding energies, Perform a Hartree-Fock geometry optimizatio... Perform a Hartree-Fock geometry optimization calculation of butadiene using a minimal basis set. Repeat with the 6-311G(d,p) basis set, using the optimized minimal basis set geomet

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

Briefly discuss about cascaded amplifier, Q. Briefly discuss about ‘Cascade... Q. Briefly discuss about ‘Cascaded Amplifier' using a diagram? Amplifiers are cascaded when the output of the first is the input to the second. The combined gain is whe