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Abstract This paper deals with the problem of stability and stabilization of positive Takagi–Sugeno (T–S) fuzzy systems with fixed delays. The obtained conditions are given under the linear programming technique… Click to show full abstract
Abstract This paper deals with the problem of stability and stabilization of positive Takagi–Sugeno (T–S) fuzzy systems with fixed delays. The obtained conditions are given under the linear programming technique while imposing positivity constraint for the closed-loop system. New delay-independent stabilization conditions are derived by using a well-appropriated Lyapunov–Krasovskii functional. A real plant model is studied to show the applicability of the design procedure, while a numerical example is used to compare with LMI-based techniques.
Journal Title: International Journal of Fuzzy Systems
Year Published: 2018
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