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Detail
ArtikelRobust Stabilization Subject to Control Constraints for Uncertain Linear Systems  
Oleh: Liu, Fei ; Su, Hongye ; Xu, Baoguo ; Chu, Jian
Jenis: Article from Article
Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 180-185.
Topik: Robust Stabilization; Control Constraints; Uncertain Linear Systems
Fulltext: AC021370.PDF (212.91KB)
Isi artikelRobust stabilization controllers are studied for uncertain linear systems with constraints on control inputs. The systems are described by both state and input delayed equations in which time-varying but norm-bounded uncertainties enter all the state and input matrices. The input constraints are limited on maximum amplitude levels which vary according to different components of control input vector. Based on Lyapunov-Krasovskii theorem, the proposed approach combines the robust quadratic stabilization technique with the concept of invariant set. Associated with all the state in an invariant ellipsoid and any initial condition in a ball, the feasibility condition of a robust local stabilization problem can be checked and then the corresponding controller can be constructed in terms of linear matrix inequalities. Some optimization procedures are developed to obtain the largest bound on ball of the initial condition. Finally, the tradeoff among the bound of the initial condition, the constraint levels of amplitude and the bound on uncertainties is discussed.
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