## Passivity analysis and passive control of fuzzy systems with time-varying delays.(English)Zbl 1221.93063

Summary: This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is Very-Strictly Passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict Linear Matrix Inequalities (LMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method.

### MSC:

 93B35 Sensitivity (robustness) 93C42 Fuzzy control/observation systems
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### References:

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