# CONTROL SYSTEM ANALYSIS FOR THE PERTURBED LINEAR ACCELERATOR RF SYSTEM

## Abstract

This paper addresses the modeling problem of the linear accelerator RF system in SNS. Klystrons are modeled as linear parameter varying systems. The effect of the high voltage power supply ripple on the klystron output voltage and the output phase is modeled as an additive disturbance. The cavity is modeled as a linear system and the beam current is modeled as the exogenous disturbance. The output uncertainty of the low level RF system which results from the uncertainties in the RF components and cabling is modeled as multiplicative uncertainty. Also, the feedback loop uncertainty and digital signal processing signal conditioning subsystem uncertainties are lumped together and are modeled as multiplicative uncertainty. Finally, the time delays in the loop are modeled as a lumped time delay. For the perturbed open loop system, the closed loop system performance, and stability are analyzed with the PI feedback controller.

- Authors:

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 810037

- Report Number(s):
- LA-UR-02-2100

TRN: US0303206

- DOE Contract Number:
- W-7405-ENG-36

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 10 Apr 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; ADDITIVES; AVAILABILITY; BEAM CURRENTS; CONTROL SYSTEMS; FEEDBACK; KLYSTRONS; LINEAR ACCELERATORS; PERFORMANCE; PROCESSING; RF SYSTEMS; SIGNAL CONDITIONING; SIMULATION; STABILITY; TIME DELAY

### Citation Formats

```
KWON, SUNG-IL, and REGAN, AMY H.
```*CONTROL SYSTEM ANALYSIS FOR THE PERTURBED LINEAR ACCELERATOR RF SYSTEM*. United States: N. p., 2002.
Web. doi:10.2172/810037.

```
KWON, SUNG-IL, & REGAN, AMY H.
```*CONTROL SYSTEM ANALYSIS FOR THE PERTURBED LINEAR ACCELERATOR RF SYSTEM*. United States. https://doi.org/10.2172/810037

```
KWON, SUNG-IL, and REGAN, AMY H. Wed .
"CONTROL SYSTEM ANALYSIS FOR THE PERTURBED LINEAR ACCELERATOR RF SYSTEM". United States. https://doi.org/10.2172/810037. https://www.osti.gov/servlets/purl/810037.
```

```
@article{osti_810037,
```

title = {CONTROL SYSTEM ANALYSIS FOR THE PERTURBED LINEAR ACCELERATOR RF SYSTEM},

author = {KWON, SUNG-IL and REGAN, AMY H},

abstractNote = {This paper addresses the modeling problem of the linear accelerator RF system in SNS. Klystrons are modeled as linear parameter varying systems. The effect of the high voltage power supply ripple on the klystron output voltage and the output phase is modeled as an additive disturbance. The cavity is modeled as a linear system and the beam current is modeled as the exogenous disturbance. The output uncertainty of the low level RF system which results from the uncertainties in the RF components and cabling is modeled as multiplicative uncertainty. Also, the feedback loop uncertainty and digital signal processing signal conditioning subsystem uncertainties are lumped together and are modeled as multiplicative uncertainty. Finally, the time delays in the loop are modeled as a lumped time delay. For the perturbed open loop system, the closed loop system performance, and stability are analyzed with the PI feedback controller.},

doi = {10.2172/810037},

url = {https://www.osti.gov/biblio/810037},
journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {4}

}