Chap3 part03_printed.pdf

# Chap3 part03_printed.pdf - BEKC 3533 | INTRODUCTION TO...

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1 BEKC 3533 | INTRODUCTION TO CONTROL SYSTEM CHAPTER 3: Part 3 Time Domain Analysis & Stability 1 DR CHONG Dr. Chong Shin Horng Control, Instrumentation & Automation Faculty of Electrical Engineering 3.5 Stability 3.5.1 The concept of stability 3.5.2 Routh-Hurwitz Criterion DR CHONG 2 The effect of location of poles on stability ü On real axis and simple ü On real axis and multiple ü Complex conjugates and simple DR CHONG 3 LHP poles STABLE The effect of location of poles on stability ü On j w -axis and simple ü On j w -axis and multiple ü At origin ü At origin and multiple DR CHONG 4 j w -axis If pole has zero real- part and is not repeated, the system is STABLE

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2 The effect of location of poles on stability ü On real axis and simple ü On real axis and multiple ü Complex conjugates and simple DR CHONG 5 UNSTABLE RHP Routh-Hurwitz criterion § This method requires two steps: 1. Generate a data table called a Routh table ; 2. Interpret the Routh table to tell how many closed-loop system poles
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