Interval Observer-Based Control of Takagi–Sugeno Fuzzy Systems With Uncertainties

Abstract

In this article, we pay attention to a Takagi–Sugeno (T–S) system with uncertain disturbance and uncertain measurement noise, in order to accomplish the stabilization of the system relying solely on the bounding information but not on the uncertain disturbance or measurement noise itself. To achieve this objective, an interval observer is designed to estimate the interval bounds of the state of T–S fuzzy systems, and a controller is constructed based on the interval observer. Utilizing the Schur complement, this study establishes sufficient conditions, formulated as linear matrix inequalities, to ensure the efficacy of interval observer-based control for T–S systems. Finally, two simulations are conducted to validate and confirm the accuracy and applicability of the theoretical results.