Estimates of Trajectory Tubes in Control Problems under Uncertainty
The paper is devoted to state estimation problems for control systems described by nonlinear differential equations with quadratic nonlinearity. The topics of the paper come from the
theory of dynamical systems with unknown but bounded uncertainties related to the case of set-membership description of uncertainty. Applying results of the theory of trajectory tubes of differential control systems with uncertain parameters and techniques of ellipsoidal estimation theory developed for linear control systems we present new approaches that allow to find external and internal set-valued estimates for trajectory tubes in new classes of uncertain control system. Numerical simulation results illustrating the theoretical approaches are also included.