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

In The Name of Allah The Most Beneficent The Most Merciful. ECE 4545: Control Systems Lecture: Time Response of a System. Engr. Ijlal Haider Uo L , Lahore. Outline. Control Talk Reducing Block Diagrams Signal Flow Graph Reducing Signal Flow Graphs Mason’s Rule. Poles and Zeros.

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In The Name of Allah The Most Beneficent The Most Merciful

### ECE 4545:Control Systems Lecture:Time Response of a System

Engr. Ijlal Haider

UoL, Lahore

• Control Talk

• Reducing Block Diagrams

• Signal Flow Graph

• Reducing Signal Flow Graphs

• Mason’s Rule

• The polesof a system are the frequencies where the gain of the system become infinite

• The zerosof a system are the frequencies where the gain of the system become zero

• In some systems zeros and poles appears at the same location and hence cancels their response

• [poles, tzero, pzmap]

• Transfer function describes how a system responds to input applied

• Fractional form

• Proper

• Improper

• Strictly proper

• Roots of denominator are poles

• Roots of numerator are zeros

• Impulse

• Step

• Ramp

• Parabolic

• Step is most common

• Transient Response

• Forced Response

• Natural Response

• Transient response

• The manner in which system behaves from initial state to the final state

• Purpose of control systems is to provide a desired response.

• the manner in which the system output behaves as t approaches infinity

• Purpose of control system is to provide min error from the set point.

• A pole of the input function generates the form of the forced response (that is, the pole at the origin generated a step function at the output)

• A pole of the transfer function generates the form of the natural response

• The zeros and poles generate the amplitudes for both the forced and natural responses

• First Order System

• Two Poles

• Location of poles determine the response of the system

• Rise Time

• the time for the waveform to go from 0.1 to 0.9 of its final value

• Settling Time

• the time for the response to reach, and stay within, 2% (or 5%) of its final value

• Peak Time

• the time for the response to reach its first or maximum peak

• Overshoot

• the amount that the waveform overshoots the steady state, or final, value at the peak time, expressed as a percentage of the steady-state value