Effect of feedback on sensitivity to parameter changes, Electrical Engineering

Assignment Help:

Q. Effect of feedback on sensitivity to parameter changes?

A good control system, in general, should be rather insensitive to parameter variations, while it is still able to follow the command quite responsively. It is apparent from Figure that in an open-loop system the gain of the system will respond in a one-to-one fashion to the variation in G. Let us now investigate what effect feedback has on the sensitivity to parameter variations.

The sensitivity S of a closed-loop system with Equation to a parameter change p in the direct transmission function G is defined as

2100_Effect of feedback on sensitivity to parameter changes.png

where Gp denotes that the derivative is to be taken with respect to the parameter p of the function G. From Equation it follows that

1105_Effect of feedback on sensitivity to parameter changes1.png

Equation shows that the sensitivity function can be made arbitrarily small by increasing HGp, provided that the system remains stable.

1996_Effect of feedback on sensitivity to parameter changes2.png


Related Discussions:- Effect of feedback on sensitivity to parameter changes

Obtain an expression for b, Q. Consider an in?nitely long, straight wire (i...

Q. Consider an in?nitely long, straight wire (in free space) situated along the z-axis and carrying current of I A in the positive z-direction. Obtain an expression for ¯ B everywh

Explain in detail the operation of 8255 in mode 1, Explain in detail the op...

Explain in detail the operation of 8255 in mode1 taking suitable example. In mode1, Ports A and B are programmed as input or output ports and Port C is used for handshaking.

Determine the resulting waveform, Two pure sine waves have similar amplitud...

Two pure sine waves have similar amplitude "A" and frequency "f." They are out of phase through 180 degrees. If these two signals are added, the resulting waveform will be:

What is the desirable properties of an insulation material, What is the des...

What is the desirable properties of an insulation material? Insulation materials have the desirable properties are as follows: 1. Very fine dielectric strength such as of mi

ERT, What are the applications for solar PV system? Explain one of the appl...

What are the applications for solar PV system? Explain one of the application with neat schematic diagram.

What are program invisible registers, What are program invisible registers?...

What are program invisible registers? The global and local descriptor tables are determined in the memory system. So as to access and give the address of these tables, the prog

Step up chopper - power supplies , Step Up Chopper In this  chopper av...

Step Up Chopper In this  chopper average output  voltage  is greater than  input  voltage. The circuit  different  mode  of operation and  current  waveforms are show. When

Calculate the drain current, An n-channel depletion MOSFET, for which I DSS...

An n-channel depletion MOSFET, for which I DSS = 7mA and V P = 4 V, is said to be operating in the ohmic region with drain current i D = 1 mA when v DS = 0.8 V. Neglecting the

Depletion zone in p-n junction, Depletion Zone in P-N Junction The pow...

Depletion Zone in P-N Junction The power of the depletion zone electric field gets increases as the reverse-bias voltage increases. One time the electric field intensity incre

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