Techniques are demonstrated which, at high temporal bandwidths, can control a segmented reflector with many segments. Phased Array Mirror, Extendible Large Aperture (PAMELA) technology is applied, where small hexagonal mirror segments are about equal to the atmospheric coherence length, to allow diffraction-limited visible imaging. Attention is first given to an adaptive optics technique which corrects the wavefront for atmospheric distortion in the isoplanatic patch of the observed object. Wavefront sensing control methods are presented for adjusting the mirror segments. The second technique considered is active optics, whereby a control system employing local figure sensing allows the utilization of the telescope as a traditional telescope. The latter technique is shown to work for objects that are not adequately bright. The incompatibilities of local and global iterative control methods are analyzed, as are hierarchical techniques which cluster the segments. The methods, in conjunction with the reduced stiffness and therefore low mass of a large segmented mirror, present high bandwidth wavefront correction capability in a system which can be used on earth and in space.