Homework 12 - Stability

Homework 12 - Stability - 2. Consider the closed-loop...

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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 σ + 2 ii. G ( s ) = 1 - 2 iii. G ( s ) = 1 iv. G ( s ) = 1 τσ + 1 (indicate the range of values of τ for which the system is stable) v. G ( s ) = 1 2 - - 6 vi. G ( s ) = -3 2 - - 6 vii. G ( s ) = 1 2 2 + 2 ςτσ + 1 , 0 (indicate the range of values of ς for which the system is stable) viii. G ( s ) = 1 + 2 ε -3 ix. G ( s ) = 1 + 1 -3 (indicate the range of values of for which the system is stable)
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Unformatted text preview: 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 11.16 Hint: Use Routh Criteria to find solution....
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Homework 12 - Stability - 2. Consider the closed-loop...

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