Reachable sets bounding for switched systems with time-varying delay and bounded disturbances
Data(s) |
01/01/2017
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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 | |
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 |