This paper proposes a novel interval observer design method for discrete-time Takagi-Sugeno fuzzy systems with parametric uncertainty, disturbances, and measurement noise. We present a new structure of interval observer with more design parameters, which can be used to broaden the application scope of interval observer design. For improving the accuracy of interval estimation, an L∞ norm-based approach is used in the design of interval observer to attenuate the effect of the unknown disturbances, noise, and parametric uncertainty. Furthermore, the design conditions are formulated into a set of linear matrix inequalities, which can be efficiently solved. Numerical simulations are given to illustrate the effectiveness of the proposed method.

中文翻译：

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离散时间不确定Takagi__ugeno模糊系统的区间观测器设计


本文针对具有参数不确定性、干扰和测量噪声的离散时间 Takagi-Sugeno 模糊系统提出了一种新颖的区间观测器设计方法。我们提出了一种具有更多设计参数的区间观测器新结构，可以用来拓宽区间观测器设计的应用范围。为了提高区间估计的精度，区间观测器的设计采用了基于L∞范数的方法，以减弱未知干扰、噪声和参数不确定性的影响。此外，将设计条件表述为一组线性矩阵不等式，可以有效地求解。数值模拟说明了该方法的有效性。