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LINAC 4 – Control System and 
Adaptive Feed‐forward Design
Anirban Krishna Bhattacharyya
BE – RF – FB
Introduction
Total loop delay of 1100 ns.
Klystron Model
Error: 5.3% and 3.84%
Transfer Function
Klystron Model
Gain
PIMS Cavity:
ZTT    = 24.622e6 Ω/m
L         = 1.298 m
Q0 = 20800
β = 1.24
Φ = ‐20°
Z0 = 50 Ω
Psat = 1.4 MW
Beam current: 40 mA
Cavity voltage: 4.805 MV
Power loss: 5%
Parameters
Controller structure:                      , where,                   , and, 
1+aτs
KP
1+τs
Τ =
KP
KI
a = 10
PIMS Cavity Model
Notch Filter for PIMS Cavity
Effect of Notch
Smith‐Predictor Design
Process model estimation:
1. 10% error in knowledge of cavity parameters and delay.
Requirements:
1. Model for process/plant.
2. Estimation of time‐delay
What is this?
Smith‐Predictor Design
Open Loop Step Response
Sensitivity Analysis
Sensitivity of the controller parameters to ±20% variation in QL of the cavity (PIMS) is 
investigated.
Feed forward
δ δ δ 	
1
ε
Beam Disturbance
Results
Results: Klystron Power
Comparison of Cavity models
The End
Smith Predictor
Controller Plant
Delay
1+GCGe‐sτd
GCGe‐sτd
Transfer function =>

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