# Industrial Process Control 1

Tutorial Questions 2: Industrial Process Control 1. Determine the system stability by root value using s-plan for following transfer function, then explain why the system is stable or not. a. 2 π·(π ) = s2 +5sβ8 12 b. π·(π ) = 2s2 +4s+6 2. Determine the system stability by Routh method (use Routh table if necessary) for following function, then explain why the system is stable or not. 3 a. πΉ(π ) = 3.5π 2 +0.25π +2 8 b. πΉ(π ) = 4π 2 +3π β2 c. d. e. f. 7 πΉ(π ) = 3π +2 4π 3 + 4π 2 + 2 = 0 2π 3 + 4π 2 + 3π + 2 = 0 3π 3 + 2π 2 + 3π + 8 = 0 3. From time response first order system a. Determine the gain K, time constantπ and settling time π‘π b. Writer the differential equation, transfer function and time response i. 4π¦Μ (π‘) + 5π¦(π‘) = 10π’(π‘) ii. 2π¦Μ (π‘) + π¦(π‘) = 4π’(π‘) iii. From the graph (1), find a and b 4. From time response second order system a. Determine πΌ. π0 . π πππ πΎ b. What is the type of this system? c. Writer the differential equation, transfer function i. 3π¦Μ (π‘) + 3π¦Μ (π‘) + 5π¦(π‘) = 10π’(π‘) ii. 12π¦Μ (π‘) + 6π¦Μ (π‘) + 15π¦(π‘) = 30π’(π‘) 15 iii. πΊ(π ) = 2 graph (1) 2π +3π +8 iv. From the graph (2), find: Yss,Yp,M,td,tr,tp,Tp,fp and ππ 5. Examine controllability and observability of the system: 2οΉ ο©0 ο©0 οΉ Aο½οͺ , B ο½ οͺ οΊ, C ο½ ο1 0ο οΊ ο«ο 2 ο 3ο» ο« 3ο» 6. What is the transfer function of P, I, D, PI, PD and PID? 7. What is the advantage anddis advantage of P, I, D, PI, PD and PID? graph (2)

Purchase answer to see full attachment