Chapter6

Chapter6 - MAE 171 A: Feedback Control Systems Chapter 6...

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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 rise-time. 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 rise-time. ◮ Accuracy as measured by the settling-time and steady-state 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 rise-time. ◮ Accuracy as measured by the settling-time and steady-state 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 rise-time. ◮ Accuracy as measured by the settling-time and steady-state 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 First-Order Systems MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Proportional Compensation in First-Order 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 First-Order Systems Proportional control is just a simple gain K , an amplifier. Consider the first-order, open-loop system G ( s ) = 1 τs + 1 MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Proportional Compensation in First-Order Systems Proportional control is just a simple gain K , an amplifier. Consider the first-order, open-loop system G ( s ) = 1 τs + 1 The closed-loop system is illustrated below. Y K R +- G e u Figure: A closed-loop configuration MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 3 / 27 Closed-Loop Transfer Function of First-Order Systems MAE 171 A: Feedback Control Systems Chapter 6 Feedback Control 4 / 27 Closed-Loop Transfer Function of First-Order 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 Closed-Loop Transfer Function of First-Order 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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This note was uploaded on 02/02/2011 for the course MAE 107 taught by Professor Tsao during the Spring '06 term at UCLA.

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Chapter6 - MAE 171 A: Feedback Control Systems Chapter 6...

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