Chap3 part03_printed.pdf

# Are in the left half plane the right half plane and

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are in the left half-plane, the right half-plane, and on the j w - axis. 6 DR CHONG Routh-Hurwitz criterion § Generating a basic Routh table. § Initial layout for Routh table: 7 Closed-loop transfer function DR CHONG Routh-Hurwitz criterion § Completing… Routh table : 8 DR CHONG

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3 Routh-Hurwitz criterion Example 3-6 Make the Routh table for the system shown in figure below. 9 Solution Ex.3-6 (1) Find the equivalent closed-loop system DR CHONG Routh-Hurwitz criterion 10 Solution Ex.3-6 (2) Complete the Routh table DR CHONG Routh-Hurwitz criterion § The number of roots of the polynomial that are in the right half- plane is equal to the number of sign changes in the first column . 11 § A system is stable if there are no sign changes in the first column of the Routh table . DR CHONG Routh-Hurwitz criterion : Special Case 12 3 5 6 3 2 10 ) ( 2 3 4 5 + + + + + = s s s s s s T Example 3-7 Determine the stability of the closed-loop transfer function Zero only in the first column DR CHONG
4 Routh-Hurwitz criterion 13 Solution Ex.3-7: Complete Routh table :

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• Spring '19
• Dr.Saifulza
• Dr Chong

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