Reachable sets bounding for switched systems with time-varying delay and bounded disturbances


Autoria(s): Thuan, M. V.; Trinh, H; Huong, D. C.
Data(s)

01/01/2017

Resumo

In this paper, we address the problem of finding outer bound of forward reachable sets and inter-bound of backward reachable sets of switched systems with an interval time-varying delay and bounded disturbances. By constructing a flexible Lyapunov–Krasovskii functional combining with some recent refined integral-based inequalities, some sufficient conditions are derived for the existence of (1) the smallest possible outer bound of forwards reachable sets; and (2) the largest possible inter-bound of backward reachable sets. These conditions are delay dependent and in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. A constructive geometric design of switching laws is also presented. Two numerical examples with simulation results are provided to demonstrate the effectiveness of our results.

Identificador

http://hdl.handle.net/10536/DRO/DU:30084145

Idioma(s)

eng

Publicador

Taylor & Francis

Relação

DP130101532

http://dro.deakin.edu.au/eserv/DU:30084145/trinh-reachablesets-2017.pdf

http://dro.deakin.edu.au/eserv/DU:30084145/trinh-reachablesets-inpress-2016.pdf

http://www.dx.doi.org/10.1080/00207721.2016.1186248

Direitos

2016, Informa UK

Palavras-Chave #switched delay systems #forward reachable sets #backward reachable sets #lyapunov-krasovskii functional #linear matrix inequalities
Tipo

Journal Article