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.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

6385

Lastpage

6390

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377784

Filename

4177253

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2468302