Reachable Set Estimation of T–S Fuzzy Systems With Time-Varying Delay
Reachable Set Estimation of T–S Fuzzy Systems With Time-Varying Delay
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DOI:
10.1109/tfuzz.2016.2586945
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发表时间:
2017-08
影响因子:
11.9
通讯作者:
Zhiguang Feng;W. Zheng;Ligang Wu
中科院分区:
文献类型:
--
作者:
Zhiguang Feng;W. Zheng;Ligang Wu
In this paper, the reachable set estimation problem is investigated for delayed discrete-time Takagi–Sugeno fuzzy systems with bounded input disturbances and nonzero initial conditions. A reachable set estimation condition is derived by using the reciprocally convex combination approach to bound the forward difference of triple-summable terms. The derived condition guarantees that all the states of the system with the initial conditions from some domain are bounded in a compact set, and all the states from other domain converge exponentially within another compact set. Moreover, a less conservative stability condition is also obtained. The effectiveness and the reduced conservatism of the proposed results are illustrated by numerical examples.