# Closed orbit correction at synchrotrons for symmetric and near-symmetric lattices

@article{Mirza2019ClosedOC, title={Closed orbit correction at synchrotrons for symmetric and near-symmetric lattices}, author={Sajjad Hussain Mirza and Rahul Kumar Singh and P Forck and Harald Klingbeil}, journal={Physical Review Accelerators and Beams}, year={2019} }

This contribution compiles the benefits of lattice symmetry in the context of closed orbit correction. A symmetric arrangement of BPMs and correctors results in structured orbit response matrices of Circulant or block Circulant type. These forms of matrices provide favorable properties in terms of computational complexity, information compression and interpretation of mathematical vector spaces of BPMs and correctors. For broken symmetries, a nearest-Circulant approximation is introduced and…

## 4 Citations

### Symmetry Exploitation in Orbit Feedback Systems of Synchrotrons for Computational Efficiency

- PhysicsIEEE Transactions on Nuclear Science
- 2021

Structural symmetries in the storage ring of synchrotrons are intentionally created during the design phase of the magnetic lattices, but they are rarely considered in the design of control…

### Symmetry Exploitation in Orbit Feedback Systems of Synchrotron Storage Rings

- Physics
- 2020

Structural symmetries in the storage ring of synchrotrons are intentionally created during the design phase of the magnetic lattices, but they are not considered in the design of control algorithms…

### Performance of the closed orbit feedback systems with spatial model mismatch

- PhysicsPhysical Review Accelerators and Beams
- 2020

Closed orbit feedback (COFB) systems used for the global orbit correction rely on the pseudo-inversion of the orbit response matrix (ORM). A mismatch between the model ORM used in the controller and…

### Noninvasively improving the orbit-response matrix while continuously correcting the orbit

- PhysicsPhysical Review Accelerators and Beams
- 2021

Based on continuously recorded beam positions and corrector excitations from, for example, a closed-orbit feedback system we describe an algorithm that continuously updates an estimate of the orbit…

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