Abstract
New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.
Highlights
Fuzzy Time-Delay Systems.The stability analysis and control design of a nonlinear system is a difficult task
The study conducted by [1] used fuzzy logic to model two effective factors that affect melatonin regarding Major Depressive Disorder (MDD)
The study conducted by [12] proposed a fuzzy controller design method based on the interval type 2 (IT2) T-S fuzzy model for stochastic nonlinear systems affected by actuator saturation
Summary
A new, observer-based fuzzy controller design method with a time-delay adaptability is proposed in the study conducted by [3]. The study conducted by [12] proposed a fuzzy controller design method based on the interval type 2 (IT2) T-S fuzzy model for stochastic nonlinear systems affected by actuator saturation. The study conducted by [16] aimed at a class of high-order, nonlinear systems with a time delay, where a design method of an output feedback tracking controller is proposed. Based on the Takagi-Sugeno fuzzy model method, an output feedback control strategy is developed for a class of continuous-time nonlinear time-delay systems through an improved repetitive control scheme [20].
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