PID Gains & Parameters
Proportional Gain (Kp)
0.40
Immediate fee response proportional to current collateral ratio error.
Integral Gain (Ki)
0.05
Accumulated error elimination to force long-term peg restoration.
Derivative Gain (Kd)
0.10
Dampens sudden volatility velocity to prevent stability fee overshooting.
Market Stress Controls
Price Shock Magnitude
-25%
Shock Duration (Steps)
15
Liquidation Threshold
120%
System Solvency
SOLVENT
12,000 Liquidated
Collateral Ratio
1.42x
Target: 1.50x min
Stability Fee Rate
8.4%
Δ +0.12%/step
Peg Restoration
18 Steps
Target Peg: $1.00
Closed-Loop CDP PID Control Architecture
Time-Series Time Step Scrubber
Step 60 / 60
Collateralization Ratio over Time
PID Stability Fee Control Output
Stable Asset Peg Deviation ($)
Liquidation Volume Executed ($)
🛡️ CDP Collateral Feedback Simulation Result Vector
Validated PID feedback response for collateralized pool risk parameter state:
Solvency Status
SOLVENT
Stabilized Ratio
1.42x
Peg Recovery Steps
18
Total Liquidations
12,000