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1. Stability of closed-loop control systems-Stability criteria (Exercise 11.20-Process Dynamics and Control, Seborg, Edgar, Mellichamp & Doyle, 3rd edition) [5 pts] A feedback control system

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1. Stability of closed-loop control systems-Stability criteria (Exercise 11.20-Process Dynamics and Control, Seborg, Edgar, Mellichamp \& Doyle, 3rd edition) [5 pts] A feedback control system has the following open-loop transfer function. GOL(s)=10s+10.5Kce3s Determine the values of Kc for which the closed-loop system is stable, using the following approaches: a) An approximate analysis using the Routh stability criterion. Use a 1/1 Pade approximation for e3s= b) An exact analysis based on the substitution of s=jw

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