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Unformatted text preview: MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control April 17, 2010 Objectives of Feedback Control Systems Generally, the objectives of a feedback controller are to improve system performance in the sense of MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 2 / 27 Objectives of Feedback Control Systems Generally, the objectives of a feedback controller are to improve system performance in the sense of ◮ Speed as measured by the risetime. MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 2 / 27 Objectives of Feedback Control Systems Generally, the objectives of a feedback controller are to improve system performance in the sense of ◮ Speed as measured by the risetime. ◮ Accuracy as measured by the settlingtime and steadystate error. MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 2 / 27 Objectives of Feedback Control Systems Generally, the objectives of a feedback controller are to improve system performance in the sense of ◮ Speed as measured by the risetime. ◮ Accuracy as measured by the settlingtime and steadystate error. ◮ Stability or overshoot. MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 2 / 27 Objectives of Feedback Control Systems Generally, the objectives of a feedback controller are to improve system performance in the sense of ◮ Speed as measured by the risetime. ◮ Accuracy as measured by the settlingtime and steadystate error. ◮ Stability or overshoot. ◮ Robustness as measured by sensitivity to disturbances, sensor errors and modeling errors. MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 2 / 27 Proportional Compensation in FirstOrder Systems MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Proportional Compensation in FirstOrder Systems Proportional control is just a simple gain K , an amplifier. MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Proportional Compensation in FirstOrder Systems Proportional control is just a simple gain K , an amplifier. Consider the firstorder, openloop system G ( s ) = 1 τs + 1 MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Proportional Compensation in FirstOrder Systems Proportional control is just a simple gain K , an amplifier. Consider the firstorder, openloop system G ( s ) = 1 τs + 1 The closedloop system is illustrated below. Y K R + G e u Figure: A closedloop configuration MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 ClosedLoop Transfer Function of FirstOrder Systems MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 4 / 27 ClosedLoop Transfer Function of FirstOrder Systems G CL ( s ) = G ( s ) K 1 + G ( s ) K = K τs +1 1 + K τs +1 MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 4 / 27 ClosedLoop Transfer Function of FirstOrder Systems G CL ( s ) = G ( s ) K 1 + G ( s ) K = K τs +1 1 + K τs +1 = K K + 1 1 parenleftBig τ K +1 parenrightBig s + 1...
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 Spring '06
 TSAO
 Feedback Control Systems, Control Systems Chapter

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