A compensator, to be placed in cascade with the plant in a unity feedback configuration, has...
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A compensator, to be placed in cascade with the plant in a unity feedback configuration, has to be designed. The plant transfer function is G(s)=- 100K s(s+36)(s+100) a. Design a compensator so that the compensated system meets the following specifications: (10) Velocity error constant, K₁: 40 20% Percentage overshoot: Peak time: 0.1s b. Is the designed controller a lead controller or lag controller? (Motivate your answer.) c. The plant is to be controlled by a computer which means that the controller designed in (a.) has to be converted to an equivalent digital controller, G.(z). For a sampling period of T=0.001 s, derive G₂(z) by assuming that the result obtained in (a.) was (8) K=1440 and Ge(s)=2.38- and Ge(s)=2.38 (+25.3) (s +60.2) (2) A compensator, to be placed in cascade with the plant in a unity feedback configuration, has to be designed. The plant transfer function is G(s)=- 100K s(s+36)(s+100) a. Design a compensator so that the compensated system meets the following specifications: (10) Velocity error constant, K₁: 40 20% Percentage overshoot: Peak time: 0.1s b. Is the designed controller a lead controller or lag controller? (Motivate your answer.) c. The plant is to be controlled by a computer which means that the controller designed in (a.) has to be converted to an equivalent digital controller, G.(z). For a sampling period of T=0.001 s, derive G₂(z) by assuming that the result obtained in (a.) was (8) K=1440 and Ge(s)=2.38- and Ge(s)=2.38 (+25.3) (s +60.2) (2)
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