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A new stabilization problem for Takagi–Sugeno (T–S) fuzzy systems involving time-varying delay and interval uncertainties is investigated in this paper. Firstly, a new stabilization condition on dynamic output feedback control… Click to show full abstract
A new stabilization problem for Takagi–Sugeno (T–S) fuzzy systems involving time-varying delay and interval uncertainties is investigated in this paper. Firstly, a new stabilization condition on dynamic output feedback control for T–S fuzzy systems is proposed. Meanwhile, a robust H ∞ - γ stabilization criterion for T–S fuzzy systems is presented based on Lyapunov–Krasovskii function. In addition, an incremental sampling method based on loss function is developed to deal with interval uncertainties of T–S fuzzy systems. Sequentially, the stabilization problem is calculated by combining a linear matrix inequality approach with the incremental sampling method. Lastly, two numerical examples are provided to illustrate the effectiveness and feasibility of the proposed approach.
Journal Title: International Journal of Fuzzy Systems
Year Published: 2021
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