Cd. Schaper et al., MODELING, IDENTIFICATION, AND CONTROL OF RAPID THERMAL-PROCESSING SYSTEMS, Journal of the Electrochemical Society, 141(11), 1994, pp. 3200-3209
A wafer temperature control system is developed for rapid thermal proc
essing (RTP) semiconductor manufacturing equipment. The control algori
thm is based on a physical model describing the heat transfer effects
in advanced RTP equipment. A model identification procedure is propose
d to estimate the uncertain parameters of the model from a set of expe
riments. Through singular value analysis, the impact of equipment desi
gn on feedback controller development is studied. An internal model co
ntrol (IMC) design methodology is used to develop a low-order multivar
iable feedback control algorithm. The feedback controller is coordinat
ed with additional modules including feedforward control and gain sche
duling to achieve improved performance and flexibility. The algorithms
are applied to three different multizone RTP systems. Temperature con
trolled ramps are demonstrated from 20 to 900-degrees-C at 45-degrees-
C/s with less than +/-5-degrees-C during the ramp at high temperatures
and less than +/-1-degrees-C average nonuniformity during steady stat
e as measured by three radially distributed temperature sensors.