Ellipsoidal bounds for sets of attainability and uncertainty in control problems

DOI10.1002/oca.4660030207zbMath0483.49031OpenAlexW2139434927MaRDI QIDQ3941954

Felix L. Chernousko

Publication date: 1982

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660030207

zbMATH Keywords

minimax filteringellipsoidal boundscost estimatesset-membership description of uncertainty

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Differential games (aspects of game theory) (91A23) Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Related Items (7)

A novel approach for ellipsoidal outer-approximation of the intersection region of ellipses in the plane ⋮ Finite-horizon optimal control with pointwise cost functional ⋮ Disturbed nonlinear multispecies models in ecology ⋮ On reachable sets for a class of nonlinear systems with constraints ⋮ State estimation of linear dynamical systems under bounded control ⋮ Infinite-horizon minimax control with pointwise cost functional ⋮ External ellipsoidal approximations for set evolution equations

Cites Work

• Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids
• Adaptive guaranteed cost control of systems with uncertain parameters
• Continuous-time state estimation under disturbances bounded by convex sets

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