Restoration of controls under conditions of incomplete information on the dynamics of the system

The inverse dynamical problem of the restoration of the controls or parameters of a dynamical system which are unknown in advance is considered, using results from the observation of the motion of the system under conditions when there is incomplete information on the phase states of the system. It is assumed that, at appropriate actual instants of time, the observer only obtains certain information sets containing the actual phase states of the system. it is well known that this problem is ill posed. Constructive dynamic regularizing algorithms for solving the problem are constructed which possess the property of physical feasibility and are capable of working under real-time conditions while processing incoming information during the motion of the system and producing a result in dynamics as the motion develops. (C) 1998 Elsevier Science Ltd. All rights reserved.