final_exam_review

final_exam_review - y ss = G ( ) e. Steady-state response...

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ME 375 Final Exam Review Material (chapter numbers below refer to lecture notes) (example solution videos can be viewed through the underlined BLUE links below) 1. Modeling a. Mechanical systems (chapter I) b. Electrical systems (chapter IX) c. Electro-mechanical systems (chapter X) d. Hydraulic systems (chapter XII) e. Block diagrams (chapter XI) i. Constructing block diagrams from component transfer functions ii. Developing system transfer functions from system block diagram 2. Dynamic response (chapters II- VIII) a. Review of Laplace transform fundamentals b. Transfer function (TF) : forced response, Y s ( ) = G s ( ) U s ( ) c. Transient response to unit step input : i. First-order systems: relating TF poles to 2% settling time t s ii. Second-order systems: relating TF poles to 2% settling time t s and % overshoot, % OS iii. System design based on t s and % OS (the “wedge”) d. Steady-state response to unit step input : final value theorem
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Unformatted text preview: y ss = G ( ) e. Steady-state response to unit sinusoidal input : i. y ss t ( ) = G j ! ( ) sin t + " G j ( ) ( ) ii. Bode plots: G j ( ) dB and ! G j " ( ) vs. f. Stability : ALL poles of TF in the left-half of complex plane 3. Feedback control (chapters XIV-XVI) a. Closed-loop TF : G CL s ( ) = G OL s ( ) / 1 + G OL s ( ) ! " # $ b. PID controllers : G OL s ( ) = G C s ( ) G P s ( ) = K P + K I s + K D s ! " # $ % & G P s ( ) c. Closed-loop characteristic equation in terms of a single gain variable K : D CL s ( ) = 1 + K N s ( ) D s ( ) = d. Constructing root locus (RL) plots : using the eight RL rules e. Design of PID controllers based on unit step response : GIVEN design response specifications (%steady-state error 1 ! G CL ( ) " 100 , t s and % OS ). FIND PID controller gains. Y s ( ) ! R s ( ) G C s ( ) G P s ( ) G OL s ( )...
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This note was uploaded on 12/22/2011 for the course ME 375 taught by Professor Meckle during the Fall '10 term at Purdue University.

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