Control Theory with Applications to Accelerators

John D. Fox and Haitham Hindi
Stanford Linear Accelerator Center


Many next generation particle accelerators and storage rings propose the use of feedback techniques to improve accelerator performance. The design and operation of these systems present many opportunities to exploit well-developed techniques from control theory. This talk provides a quick introduction to modern control concepts and illustrates the formal design of feedback controllers. Central concepts, such as state-space system descriptions and transformations between state space and frequency domains will be illustrated. The use of system estimators and observers (via Kalman filters and linear quadratic gaussian regulators) to implement optimal controllers is illustrated via examples of feedback applied to multi-bunch instabilities.

Work Supported by Department of Energy Contract DE-AC03-76SF00515