In the name of allah the most beneficent the most merciful
1 / 14

In The Name of Allah The Most Beneficent The Most Merciful - PowerPoint PPT Presentation

  • Uploaded on

In The Name of Allah The Most Beneficent The Most Merciful. ECE4545: Control Systems Lecture: Transient Characteristics. Engr. Ijlal Haider UoL , Lahore. Characteristics of System Response.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

PowerPoint Slideshow about 'In The Name of Allah The Most Beneficent The Most Merciful' - eugene

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
In the name of allah the most beneficent the most merciful
In The Name of Allah The Most Beneficent The Most Merciful

Ece4545 control systems lecture transient characteristics

ECE4545:Control Systems Lecture:Transient Characteristics

Engr. Ijlal Haider

UoL, Lahore

Characteristics of system response
Characteristics of System Response

  • Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium. A mass suspended from a spring, for example.

  • Frictional losses damp the system and cause the oscillations to gradually decay in amplitude towards zero.

Natural frequency
Natural Frequency

  • The natural frequency of a second-order system is the frequency of oscillation of the system without damping.

Damping ratio
Damping Ratio

  • In engineering, the damping ratiois a measure of describing how oscillations in a system die down after a disturbance.

  • The damping ratio is a measure of describing how rapidly the oscillations decay from one bounce to the next.

Oscillation modes
Oscillation Modes

  • Were the spring-mass system completely lossless, the mass would oscillate indefinitely, each bounce of equal height to the last. This hypothetical case is called undamped.

  • If the system contained high losses, for example if the spring-mass experiment were conducted in a viscous fluid, the mass could slowly return to its rest position without ever overshooting. This case is called overdamped.

  • Commonly, the mass tends to overshoot its starting position, and then return, overshooting again. With each overshoot, some energy in the system is dissipated, and the oscillations die towards zero. This case is called underdamped.

  • Between the overdamped and underdamped cases, there exists a certain level of damping that the system will just fail to overshoot and will not make a single oscillation. This case is called critical damping.

General second order system
General Second Order System

  • Poles:

  • Damping Ratio and Oscillation Modes

Transient characteristics
Transient Characteristics

  • Peak Time:

  • Settling Time:

  • Overshoot:

Dominant closed loop poles
Dominant Closed Loop Poles

  • Poles having a zero nearby have less effect on the transient response

  • Poles at a distant location from origin have less effect on transient response

  • Poles located near origin are dominant because they decay slowly