Control problems for set-valued motions of systems with uncertainty and nonlinearity. (English) Zbl 1451.93210

Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 379-389 (2020).
Summary: The control and estimation problems are considered for a nonlinear control system with uncertainty in the initial data and with quadratic nonlinearity in vectors of system velocities. It is assumed also that the values of unknown initial states and admissible controls are constrained by related ellipsoids. Basing on the application of the results and methods of the theory of ellipsoidal calculus applied for estimation of set-valued motions of studied systems, the problems of guaranteed control for the tubes of trajectories of a nonlinear system with uncertainty are investigated. Algorithms for guaranteed moving of the set-valued state of the control system to the smallest neighborhood of a given target set are proposed, the results are illustrated by a model example.
For the entire collection see [Zbl 1444.93003].


93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory
93B03 Attainable sets, reachability
Full Text: DOI


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