Adaptive method of closed orbit correction

A new adaptive method of closed orbit correction with a self-modeling feature is developed for third-generation synchrotron light sources with many insertion devices. The quasi-Newtonian method is applied iteratively to minimize the closed orbit distortions and to approach optimal control. The information from iterative position measurements is used to update the response matrix adaptively. A roughly estimated matrix from optic functions can initialize the correction scheme. The convergence rate is at least superlinear. Hence, the adaptive method may increase the efficiency of fast closed orbit correction. The noise immunity of this method is also considered.<>