Control of a Bilinear System in Conditions of Uncertainty

Abstract

The control and estimation problems for a nonlinear control system with uncertainty in initial states and in the matrix of linear members of the state velocities of a dynamic system are considered. It is assumed that the values of the uncertain initial states and admissible controls are constrained by related ellipsoids. Based on the application of the results and methods of the theory of ellipsoidal estimation for set-valued motions of a system of this type, the problems of guaranteed control of a tube of trajectories of a nonlinear dynamic system with uncertainty are studied.