design of lead and lag compensators using frequency ......2016/03/05  · bode diagram. if that is...

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Design of Lead and Lag Compensators using Frequency Domain Techniques Prof. Wonhee Kim Energy System Engineering, Chung-Ang University

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Page 1: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Design of Lead and Lag Compensators usingFrequency Domain Techniques

Prof. Wonhee Kim

Energy System Engineering, Chung-Ang University

Page 2: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Steady-state Error

Page 3: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

System Type

Page 4: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Damping Ratio from Phase Margin

Page 5: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Damping Ratio from Phase Margin

Page 6: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Frequency domain analysis

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Page 7: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Bode Diagram

Page 8: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Compensators and Bode diagram

Page 9: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Lead Compensator

Page 10: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Lead Compensator

Page 11: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Lead Compensator

Page 12: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Bode Design Principles (lead)

Page 13: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Design Guidelines

Page 14: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Example

Page 15: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Example

Page 16: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Bode Diagram

Page 17: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Step Response

Page 18: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Ramp Response

Page 19: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Ramp Response, Detail

Page 20: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Lag Compensators

Page 21: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

What will lag compensation do?

Page 22: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Qualitative example

Page 23: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Bode Design Principles (lag)

Page 24: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Design Guidelines

Page 25: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Example, same set up as lead design

Page 26: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Example

Page 27: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Example: Compensated open loop

Page 28: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Step Response

Page 29: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Ramp Response

Page 30: Design of Lead and Lag Compensators using Frequency ......2016/03/05  · Bode diagram. If that is insufficient.. O Determine dc, the frequency at which the uncompensated open loop,

Ramp Response, detail