Robust stability analysis and control for fuzzy systems with uncertainties using the delta operator

Duanjin Zhang · Kongzhi yu juece · 2003

Robust stability analysis and fuzzy control for the delta operator systems with uncertainties based on Takagi-Sugeno (T-S) model is studied. In terms of Lyapunov stability theorem in delta domain, the sufficient conditions for robust stability of the fuzzy systems are presented using the delta operator via LMI. The corresponding state feedback controller design is given. The proposed results can unify previous related conclusions of the continuous and discrete fuzzy systems with uncertainties. An illustrative example shows the feasibility of the proposed method.

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