Homework 12 - Stability

Homework 12 - Stability - for which the system is stable)...

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Chemical Engineering Department University of Florida ECH 4323 Process Control Theory HOMEWORK No. 12 1. Indicate whether the following systems described by the transfer function Y ’( s ) = G ( s ) U ’( s ) are stable or unstable. i. G ( s ) = 1 s + 2 ii. G ( s ) = 1 s 2 iii. G ( s ) = 1 s iv. G ( s ) = 1 τ s + 1 (indicate the range of values of for which the system is stable) v. G ( s ) = 1 s 2 s 6 vi. G ( s ) = s 3 s 2 s 6 vii. G ( s ) = 1 2 s 2 + 2 ςτ s + 1 , > 0 (indicate the range of values of ς for which the system is stable) viii. G ( s ) = 1 s + 2 e 3 s ix. G ( s ) = 1 s + 1 e 3 s (indicate the range of values of
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Unformatted text preview: for which the system is stable) 2. Consider the closed-loop diagram of Problem 11-14. Determine whether the closed-loop is stable or unstable for the following values of the proportional gain K c : i. K c = 12.0 ii. K c = 12.5 iii. K c = 13.0 iv. K c = 135.0 v. K c = 135.5 3. Exercise 11.14 Hint: Use Routh Criteria to find solution. 4. Exercise 11.6 Hint: Use Routh Criteria to find solution....
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This note was uploaded on 07/14/2011 for the course ECH 4323 taught by Professor Crissale during the Spring '10 term at University of Florida.

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Homework 12 - Stability - for which the system is stable)...

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