Robust dissipative filtering for a kind of T-S fuzzy descriptor system with immeasurable premise variables

Baoyan Zhu, Qingling Zhang and Enliang Zhao

International Journal of Systems Science, 2016, vol. 47, issue 2, 265-282

Abstract: The problem of delay-dependent robust dissipative filtering is investigated for a kind of Takagi–Sugeno (T-S) fuzzy descriptor system with immeasurable premise variables. By utilising the free-weighting matrix approach and combining them with the structural characteristics of the error system, we propose the solvable conditions of the dissipative filter that ensure an error system with immeasurable states is admissible and strictly dissipative. This implies that it is not necessary to assume that the error systems are regular and impulse-free prior to designing filters. The derived method can be applied broadly to nonlinear systems. Also, the solvable condition of the dissipative filter with measurable states is a special case of this study. We also elicit the design methods of the H∞ and passive filters, which could potentially reduce the cost and time spent on the filter design. Finally, we perform simulations to validate the derived methods for two kinds of nonlinear descriptor systems.

Date: 2016
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DOI: 10.1080/00207721.2015.1042088

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