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Example Lag Compensator Design
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Lead (PD) Compensator
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Maximum Phase Lead
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Lead Compensator Design
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Example Lead Compensator Design
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Combined (PID) Compensator
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Example Design of Buck Compensator
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DC (Quiescent) Operating Point
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AC Power Stage Model
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System Block Diagram
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Plotting Uncompensated Loop Gain
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LTSpice Simulation – AC, Uncompensated
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Transient Simulation, Uncompensated
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Ringing Frequency
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T/(1+T)
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Summary: Uncompensated Behavior
• Significant steady‐state error− Need to increase low‐frequency gain
• Barely stable; significant ringing− Need to increase ϕm
• Speed: ok− fc = 1.8 kHz− (BW)CL = 2.6 kHz − OK for fs ≈ 10 kHz or above
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Compensator Design
• As an example, try to− Increase fc to 10 kHz− Increase ϕm to 76° (QCL=0.5)− Increase ǁT0ǁ to ∞
• Note: Book Chooses fc = 5 kHz and ϕm =52° (Q=0.5)
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PI Design
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PI Simulation
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PD Design
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PID Simulation
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T/(1+T)
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Transient Simulation