Title :
Reachability Approaches and Ellipsoidal Techniques for Closed-Loop Control of Oscillating Systems under Uncertainty
Author :
Daryin, A.N. ; Kurzhanski, A.B. ; Vostrikov, I.V.
Author_Institution :
Fac. of Comput. Math. & Cybern., Moscow State Univ.
Abstract :
This paper indicates effective solution schemes for problems of closed-loop control for oscillating systems of high dimensions subjected to unknown but bounded disturbances. These schemes are based on using internal ellipsoidal approximations of weakly invariant solvability sets and produce effective numerical algorithms. The text is accompanied by computer animation and numerical simulations based on ellipsoidal tools for calculating reach sets
Keywords :
closed loop systems; reachability analysis; bounded disturbances; closed-loop control; computer animation; ellipsoidal techniques; ellipsoidal tools; internal ellipsoidal approximations; numerical algorithms; numerical simulations; oscillating systems; reach sets; reachability approaches; uncertainty; weakly invariant solvability sets; Animation; Control systems; Equations; Force control; Force feedback; Gravity; Numerical simulation; Springs; USA Councils; Uncertainty;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377784
