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Chap3 part01_printed.pdf - BEKC 3533 INTRODUCTION TO...

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BEKC 3533 INTRODUCTION TO CONTROL SYSTEM DR. CHONG S.-H. 1 BEKC 3533 | INTRODUCTION TO CONTROL SYSTEM CHAPTER 3: Part 1 Time Domain Analysis & Stability 1 DR CHONG Dr. Chong Shin Horng Control, Instrumentation & Automation Faculty of Electrical Engineering 3.1 Time Domain Analysis and Stability 3.1. Poles, zeros and system responses 3.2 First order and second order system 3.3 System response with additional poles & zeros DR CHONG 2 Poles, Zeros, and System Response DR CHONG 3 ) 5 ( ) 2 ( ) ( + + = s s s G 2 = s 5 = s Zero Pole First order system DR CHONG 4 s s R 1 ) ( = ) ( ) ( a s a s G + = First-order system without zero: Taking the inverse transform, the step response is given by at n f e t c t c t c = + = 1 ) ( ) ( ) ( ) ( ) ( a s s a s C + =

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BEKC 3533 INTRODUCTION TO CONTROL SYSTEM DR. CHONG S.-H. 2 First order system DR CHONG 5 Time constant: Time it takes for the step response to rise to 63% of its final value. a 1 constant time = First order system DR CHONG 6 Rise time time for the waveform to go from 0.1 to 0.9 of its final value. at e t c = 1 ) ( When c(t) = 0.1 : Step response: When c(t) = 0.9: a a a t r 2 . 2 11 . 0 31 . 2 = = First order system DR CHONG 7 Settling time time for response to reach, and stay within, 2% of its final value. at e t c = 1 ) ( Letting c(t) = 0.98: Step response: a t s 4 = First order system DR CHONG 8 § First-order transfer functions via Testing Example 3-1:
• Spring '19
• Dr.Saifulza
• Dr Chong

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