Unformatted text preview: : 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. " Chapter numbers I through XVI refer to lecture notes. Y s ( ) ! R s ( ) G C s ( ) G P s ( ) G OL s ( )...
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- Fall '10