Multipacting current can cause breakdowns in high power RF components such as input couplers, waveguide windows, and higher-order mode (HOM) dampers. To understand and prevent the loss of a ceramic window or an input coupler in the Advanced Photon Source (APS) storage ring RF cavity, the multipacting phenomenon is being investigated experimentally. This paper begins with a description of simple model, presents a hardware design, and concludes with measurement of multipacting. Multipacting is explored in conjunction with conditioning the cavities and interaction with the stored beam.
{"title":"Multipacting study of the RF window at the Advanced Photon Source","authors":"J.J. Song","doi":"10.1109/PAC.1999.795356","DOIUrl":"https://doi.org/10.1109/PAC.1999.795356","url":null,"abstract":"Multipacting current can cause breakdowns in high power RF components such as input couplers, waveguide windows, and higher-order mode (HOM) dampers. To understand and prevent the loss of a ceramic window or an input coupler in the Advanced Photon Source (APS) storage ring RF cavity, the multipacting phenomenon is being investigated experimentally. This paper begins with a description of simple model, presents a hardware design, and concludes with measurement of multipacting. Multipacting is explored in conjunction with conditioning the cavities and interaction with the stored beam.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73928172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The linear integral equation based computer code (RON: "Roger Oleg Nikolai"), which was recently developed at Argonne National Laboratory, was used to calculate the self-amplified spontaneous emission (SASE) performance of the free-electron laser (FEL) being built at Argonne. Signal growth calculations under different conditions are used for estimating tolerances of actual design parameters. The radiation characteristics are discussed, and calculations using an ideal undulator magnetic field and a real measured magnetic field will be compared and discussed.
{"title":"Calculations of the self-amplified spontaneous emission performance of a free-electron laser","authors":"R. Dejus, O. Shevchenko, N. Vinokurov","doi":"10.1109/PAC.1999.792742","DOIUrl":"https://doi.org/10.1109/PAC.1999.792742","url":null,"abstract":"The linear integral equation based computer code (RON: \"Roger Oleg Nikolai\"), which was recently developed at Argonne National Laboratory, was used to calculate the self-amplified spontaneous emission (SASE) performance of the free-electron laser (FEL) being built at Argonne. Signal growth calculations under different conditions are used for estimating tolerances of actual design parameters. The radiation characteristics are discussed, and calculations using an ideal undulator magnetic field and a real measured magnetic field will be compared and discussed.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83734224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We present the simultaneous measurement of beam divergence and source size based on the APS diagnostic undulator line. A 300-/spl mu/m-thick Si(400) crystal monochromator is used to measure the divergence with a resolution down to 3 /spl mu/rad (1 /spl mu/rad with the third harmonic). X-rays transmitted through the crystal are simultaneously used by a pinhole camera to measure the beam size, at a resolution of about 40 /spl mu/m. We demonstrate that this measurement of emittance is robust against fluctuations of lattice functions due to a partial cancellation of systematic errors present in each of the measurements.
{"title":"Simultaneous measurement of electron beam size and divergence with an undulator","authors":"B. Yang, A. Lumpkin","doi":"10.1109/PAC.1999.794406","DOIUrl":"https://doi.org/10.1109/PAC.1999.794406","url":null,"abstract":"We present the simultaneous measurement of beam divergence and source size based on the APS diagnostic undulator line. A 300-/spl mu/m-thick Si(400) crystal monochromator is used to measure the divergence with a resolution down to 3 /spl mu/rad (1 /spl mu/rad with the third harmonic). X-rays transmitted through the crystal are simultaneously used by a pinhole camera to measure the beam size, at a resolution of about 40 /spl mu/m. We demonstrate that this measurement of emittance is robust against fluctuations of lattice functions due to a partial cancellation of systematic errors present in each of the measurements.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91222153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
O. Singh, C. Doose, J. Carwardine, G. Decker, F. Lenkszus, R. Merl
When using a low emittance storage ring as a high brightness synchrotron radiation source, it is critical to maintain a very high degree of orbit stability, both for the short term and for the duration of an operational fill. A fill-to-fill reproducibility is an additional important requirement. Recent developments in orbit correction algorithms have provided tools that are capable of achieving a high degree of orbit stability. However, the performance of these feedback systems can be severely limited if there are errors in the beam position monitors (BPMs). The present orbit measurement and correction system at the APS storage ring utilizes 360 broadband-type BPMs that provide turn-by-turn diagnostics and an ultra-stable orbit: <1.8 micron rms vertically and 4.5 microns rms horizontally in a frequency band of 0.017 to 30 Hz. The effects of beam intensity and bunch pattern dependency on these BPMs have been significantly reduced by employing "offset compensation" correction. Recently, 40 narrow-band switching-type BPMs have been installed in the APS storage ring, two in each of 20 operational insertion device straight sections, bringing the total number of beam position monitors to 400. The use of narrow-band BPM electronics is expected to reduce sensitivity to beam intensity, bunch pattern dependence, and long-term drift. These beam position monitors are used for orbit correction/feedback and machine protection interlocks for the insertion device beamlines. The commissioning results and overall performance for orbit stability are provided.
{"title":"Commissioning results of the narrow-band beam position monitor system upgrade in the APS storage ring","authors":"O. Singh, C. Doose, J. Carwardine, G. Decker, F. Lenkszus, R. Merl","doi":"10.1109/PAC.1999.794383","DOIUrl":"https://doi.org/10.1109/PAC.1999.794383","url":null,"abstract":"When using a low emittance storage ring as a high brightness synchrotron radiation source, it is critical to maintain a very high degree of orbit stability, both for the short term and for the duration of an operational fill. A fill-to-fill reproducibility is an additional important requirement. Recent developments in orbit correction algorithms have provided tools that are capable of achieving a high degree of orbit stability. However, the performance of these feedback systems can be severely limited if there are errors in the beam position monitors (BPMs). The present orbit measurement and correction system at the APS storage ring utilizes 360 broadband-type BPMs that provide turn-by-turn diagnostics and an ultra-stable orbit: <1.8 micron rms vertically and 4.5 microns rms horizontally in a frequency band of 0.017 to 30 Hz. The effects of beam intensity and bunch pattern dependency on these BPMs have been significantly reduced by employing \"offset compensation\" correction. Recently, 40 narrow-band switching-type BPMs have been installed in the APS storage ring, two in each of 20 operational insertion device straight sections, bringing the total number of beam position monitors to 400. The use of narrow-band BPM electronics is expected to reduce sensitivity to beam intensity, bunch pattern dependence, and long-term drift. These beam position monitors are used for orbit correction/feedback and machine protection interlocks for the insertion device beamlines. The commissioning results and overall performance for orbit stability are provided.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81714228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S.G. Biedrou, Y. Chae, R. Dejus, B. Faatz, H. Freund, S. Milton, H. Nuhn, S. Reiche
A self-amplified spontaneous emission (SASE) free-electron laser (FEL) is under construction at the Advanced Photon Source (APS). Five FEL simulation codes were used in the design phase: GENESIS, GINGER, MEDUSA, RON, and TDA3D. Initial comparisons between each of these independent formulations show good agreement for the parameters of the APS SASE FEL.
{"title":"The APS SASE FEL: modeling and code comparison","authors":"S.G. Biedrou, Y. Chae, R. Dejus, B. Faatz, H. Freund, S. Milton, H. Nuhn, S. Reiche","doi":"10.1109/PAC.1999.792740","DOIUrl":"https://doi.org/10.1109/PAC.1999.792740","url":null,"abstract":"A self-amplified spontaneous emission (SASE) free-electron laser (FEL) is under construction at the Advanced Photon Source (APS). Five FEL simulation codes were used in the design phase: GENESIS, GINGER, MEDUSA, RON, and TDA3D. Initial comparisons between each of these independent formulations show good agreement for the parameters of the APS SASE FEL.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90788397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Dooling, F. Brumwell, G. Mcmichael, M. Middendorf, R. Zolecki
The Intense Pulsed Neutron Source (IPNS) Rapid Cycling Synchrotron (RCS) delivers 450-MeV protons in 70 ns pulses at 30 Hz to a heavy-metal target producing spallation neutrons for material science research. The average current extracted from the RCS is 15 /spl mu/A with a peak intensity of 10 amps. The large circulating currents in the RCS generate oscillations in the bunch which are presently controlled by modulating the phase of the two RF cavities. By adding second harmonic (SH) rf, the bunch length can be increased reducing the peak current. Simulations suggest that a 20-40 percent increase in extracted current should be achievable. The simulation program allows for phasing between fundamental and SH RF voltages. Initial studies to optimize phase indicate the need to maximize bucket area early in the acceleration cycle, whereas the bunching factor is more significant later in the cycle.
{"title":"Numerical studies of a second harmonic RF cavity for the IPNS RCS","authors":"J. Dooling, F. Brumwell, G. Mcmichael, M. Middendorf, R. Zolecki","doi":"10.1109/PAC.1999.792657","DOIUrl":"https://doi.org/10.1109/PAC.1999.792657","url":null,"abstract":"The Intense Pulsed Neutron Source (IPNS) Rapid Cycling Synchrotron (RCS) delivers 450-MeV protons in 70 ns pulses at 30 Hz to a heavy-metal target producing spallation neutrons for material science research. The average current extracted from the RCS is 15 /spl mu/A with a peak intensity of 10 amps. The large circulating currents in the RCS generate oscillations in the bunch which are presently controlled by modulating the phase of the two RF cavities. By adding second harmonic (SH) rf, the bunch length can be increased reducing the peak current. Simulations suggest that a 20-40 percent increase in extracted current should be achievable. The simulation program allows for phasing between fundamental and SH RF voltages. Initial studies to optimize phase indicate the need to maximize bucket area early in the acceleration cycle, whereas the bunching factor is more significant later in the cycle.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84544046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The X-ray pinhole camera diagnostics on the Advanced Photon Source (APS) storage ring have recorded an "effective" transverse beam size instability during operations with a sextuplet plus 22 singlets fill pattern. These instabilities were not observed with the sextuplet plus 25 triplets fill pattern that has been the standard fill pattern in FY'98. The instability threshold is at 82-85 mA with positrons. The features include an increased average (few seconds) transverse size both horizontally anti vertically for stored currents above the threshold with a correlated effect on the beam lifetime. The horizontal transverse emittance is 25-30% larger at 100 mA than below the threshold. There is a related horizontal beam centroid motion as well, but this does not explain the vertical size change nor the lifetime effect. Complementary data were also taken with the diagnostic undulator, and a similar threshold effect on divergence was observed. The cross-comparison of the data and possible mechanisms are presented.
{"title":"Observations of \"effective\" transverse beam-size instabilities for a high current per bunch fill pattern in the APS storage ring","authors":"A. Lumpkin, L. Emery, B. Yang","doi":"10.1109/PAC.1999.794398","DOIUrl":"https://doi.org/10.1109/PAC.1999.794398","url":null,"abstract":"The X-ray pinhole camera diagnostics on the Advanced Photon Source (APS) storage ring have recorded an \"effective\" transverse beam size instability during operations with a sextuplet plus 22 singlets fill pattern. These instabilities were not observed with the sextuplet plus 25 triplets fill pattern that has been the standard fill pattern in FY'98. The instability threshold is at 82-85 mA with positrons. The features include an increased average (few seconds) transverse size both horizontally anti vertically for stored currents above the threshold with a correlated effect on the beam lifetime. The horizontal transverse emittance is 25-30% larger at 100 mA than below the threshold. There is a related horizontal beam centroid motion as well, but this does not explain the vertical size change nor the lifetime effect. Complementary data were also taken with the diagnostic undulator, and a similar threshold effect on divergence was observed. The cross-comparison of the data and possible mechanisms are presented.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80683432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Water from individual closed-loop deionized (DI) water systems is used to regulate the temperature of high-power RF components at the Advanced Photon Source (APS) S-Band linac. The RF components are made of oxygen-free high-conductivity copper and respond quickly to temperature, resulting in changes in the beam energy when the temperature is poorly regulated. Temperature regulation better than /spl plusmn/0.1/spl deg/F is required to achieve good energy stability. Improvements in the closed-loop water systems have enabled us to achieve a regulation of /spl plusmn/0.05/spl deg/F over long periods. In the long term, depletion of copper from the water circuits is a very real and serious concern, thus steps are being taken to reduce corrosion. Temperature regulation philosophy and equipment are discussed and numerical results are presented. Steps to decrease copper corrosion are also discussed.
{"title":"Improved temperature regulation and corrosion protection of APS linac RF components","authors":"M. White, R. Dortwegt, S. Pasky","doi":"10.1109/PAC.1999.795566","DOIUrl":"https://doi.org/10.1109/PAC.1999.795566","url":null,"abstract":"Water from individual closed-loop deionized (DI) water systems is used to regulate the temperature of high-power RF components at the Advanced Photon Source (APS) S-Band linac. The RF components are made of oxygen-free high-conductivity copper and respond quickly to temperature, resulting in changes in the beam energy when the temperature is poorly regulated. Temperature regulation better than /spl plusmn/0.1/spl deg/F is required to achieve good energy stability. Improvements in the closed-loop water systems have enabled us to achieve a regulation of /spl plusmn/0.05/spl deg/F over long periods. In the long term, depletion of copper from the water circuits is a very real and serious concern, thus steps are being taken to reduce corrosion. Temperature regulation philosophy and equipment are discussed and numerical results are presented. Steps to decrease copper corrosion are also discussed.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88821130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Decker, O. Singh, H. Friedsam, J. Jones, M. Ramanathan, D. Shu
With recent developments, X-ray beam position monitors (BPMs) are capable of making accurate photon position measurements down to the sub-micron level. The true performance of X-ray beam position monitors when installed on insertion device beamlines is, however, severely limited due to the stray radiation traveling along the beamline that contaminates the insertion device photons. The stray radiation emanates from upstream and downstream dipole magnet fringe fields, from steering correctors, and from sextupoles and quadrupoles with offset trajectories. While significant progress has been made at the APS using look-up tables derived from translation stage scans to compensate for this effect, performance of ID X-BPMs to date is at the 10 to 20 micron level. A research effort presently underway to address this issue involves the introduction of a chicane into the accelerator lattice to steer the stray radiation away from the X-ray BPM blades. A horizontal parallel translation of the insertion device allows only ID photons and radiation from two nearby correctors to travel down the beamline, simplifying the radiation pattern considerably. A detailed ray tracing analysis has shown that stray radiation gets displaced by up to 2 cm horizontally at the X-BPM locations so that it can be easily masked. Results from such a modified lattice, implemented for one of the insertion devices, are reported here.
随着最近的发展，x射线束位置监测器(bpm)能够精确测量到亚微米级的光子位置。然而，当安装在插入设备的光束线上时，由于沿光束线行进的杂散辐射会污染插入设备的光子，因此x射线光束位置监测器的真实性能受到严重限制。杂散辐射来自于上游和下游的偶极磁体边缘场、转向校正器以及偏离轨迹的六极和四极。虽然APS已经取得了重大进展，使用从平移阶段扫描派生的查找表来补偿这种影响，但迄今为止，ID x - bpm的性能仅在10到20微米的水平。为了解决这个问题，目前正在进行的一项研究工作包括在加速器晶格中引入一个弯道，以引导x射线BPM叶片的杂散辐射。插入装置的水平平行平移只允许来自两个附近校正器的ID光子和辐射沿光束线传播，大大简化了辐射模式。一项详细的射线追踪分析表明，在X-BPM位置，杂散辐射被水平偏移了2厘米，因此很容易被掩盖。本文报道了在其中一个插入器件上实现的这种改进晶格的结果。
{"title":"Reduction of X-BPM systematic errors by modification of lattice in the APS storage ring","authors":"G. Decker, O. Singh, H. Friedsam, J. Jones, M. Ramanathan, D. Shu","doi":"10.1109/PAC.1999.794369","DOIUrl":"https://doi.org/10.1109/PAC.1999.794369","url":null,"abstract":"With recent developments, X-ray beam position monitors (BPMs) are capable of making accurate photon position measurements down to the sub-micron level. The true performance of X-ray beam position monitors when installed on insertion device beamlines is, however, severely limited due to the stray radiation traveling along the beamline that contaminates the insertion device photons. The stray radiation emanates from upstream and downstream dipole magnet fringe fields, from steering correctors, and from sextupoles and quadrupoles with offset trajectories. While significant progress has been made at the APS using look-up tables derived from translation stage scans to compensate for this effect, performance of ID X-BPMs to date is at the 10 to 20 micron level. A research effort presently underway to address this issue involves the introduction of a chicane into the accelerator lattice to steer the stray radiation away from the X-ray BPM blades. A horizontal parallel translation of the insertion device allows only ID photons and radiation from two nearby correctors to travel down the beamline, simplifying the radiation pattern considerably. A detailed ray tracing analysis has shown that stray radiation gets displaced by up to 2 cm horizontally at the X-BPM locations so that it can be easily masked. Results from such a modified lattice, implemented for one of the insertion devices, are reported here.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89839269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form x/spl dot/(t)=A(t)x(t)+B(t)u(t) arises, where A(t) and B(t) are piecewise constant, and periodic with the revolution period T/sub 0/. Such models, known in the control community as (periodic) switched systems, have known (in)stability criteria and control theoretic properties, which can be useful in the analysis and control of multiple bunch beamloading.
推导了耦合腔/纵束ode的一种新的基带公式。假设线性，一个形式为x/spl点/(t)= a (t)x(t)+B(t)u(t)的模型出现，其中a (t)和B(t)是分段常数，并且周期为t/下标0/。这种模型在控制界被称为(周期)切换系统，具有已知的(in)稳定性准则和控制理论性质，可用于多束波束加载的分析和控制。
{"title":"A periodically-switched ODE model for N-bunch beamloading in a storage ring","authors":"C. Schwartz, A. Nassiri","doi":"10.1109/PAC.1999.795452","DOIUrl":"https://doi.org/10.1109/PAC.1999.795452","url":null,"abstract":"A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form x/spl dot/(t)=A(t)x(t)+B(t)u(t) arises, where A(t) and B(t) are piecewise constant, and periodic with the revolution period T/sub 0/. Such models, known in the control community as (periodic) switched systems, have known (in)stability criteria and control theoretic properties, which can be useful in the analysis and control of multiple bunch beamloading.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73646429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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