Admissible Conditions for T-S Fuzzy Descriptor Systems with Non-Differentiable Membership Functions

Abstract:

In this paper, the admissible conditions (regular, impulse-free and stable) for a class of continuous-time Takagi-Sugeno (T-S) fuzzy descriptor systems are investigated. Sufficient admissible conditions for the closed-loop systems under non-parallel distributed compensation (non-PDC) feedback are proposed. This approach is mainly based on the state space division properly to make the membership functions continuous differentiable. Moreover, in order to make good use of the systems’ structural information in rules, the provided conditions are obtained through fuzzy Lyapunov functions candidate and can be formulated in terms of dilated Linear Matrix Inequalities (LMIs). Finally, the effectiveness of the proposed approach is shown through numerical example by using the optimization toolbox.

• Periodical: Applied Mechanics and Materials (Volume 415)
• Pages: 259-266
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.415.259
• Online since: September 2013
• Authors: Peng Lin, Gang Hu
• Keywords: Admissible Conditions, Descriptor Systems, Non-PDC, T-S Fuzzy Model

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