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Sampled-data H∞ filtering of Takagi–Sugeno fuzzy systems with interval time-varying delays

journal contribution
posted on 06.12.2017, 00:00 by Xiao Hua GeXiao Hua Ge, Qing-Long HanQing-Long Han, Xiefu JiangXiefu Jiang
The sampled-data H∞ filtering for a continuous-time Takagi–Sugeno fuzzy system with an interval time varying state delay is investigated, where the measurement outputs from the plant to the filter are assumed to be sampled at discrete instants with a variable period. Firstly, by means of a newly proposed inequality bounding technique and a new Lyapunov–Krasovskii functional, the fuzzy sampled-data H∞ filtering performance analysis is carried out such that the resultant filter error system is asymptotically stable with a prescribed H1 attenuation performance index. Secondly, sufficient conditions on the existence of fuzzy sampled-data H∞ filters are derived in the simultaneous presence of the time-varying state delay and the variable sampling period. The proposed bounding inequality lies in its more tightness and alleviates the enlargement of some inverse “coefficients” resulting from the utilization of the well-known Jensen integral inequality. Compared with some existing Lyapunov–Krasovskii functionals, more information about the relationship among the current state and its delayed state is considered. The upper bound of the derivative of the time-varying state delay is not required to be less than one. Different from some existing results in the literature, by applying the proposed results, each different value of such an upper bound (greater than one) leads to a different H∞ disturbance attenuation level. Finally, a numerical example and a modified continuous stirred tank reactor system are given to show the effectiveness of the proposed results.

History

Volume

351

Issue

5

Start Page

2515

End Page

2542

Number of Pages

28

ISSN

0016-0032

Location

United Kingdom

Publisher

Pergamon Press

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Centre for Intelligent and Networked Systems (CINS); Hangzhou Dianzi University; TBA Research Institute;

Era Eligible

Yes

Journal

Journal of the Franklin institute.

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