This article is concerned with the problems of high-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems (SITSFSs). Firstly, the definition of high-order moment interval stability is proposed of SITSFSs in this paper. In consideration of the connection between pole placement and performance of systems, sufficient conditions for the distribution of the eigenvalues of systems within a defined interval are provided, serving as the criterion for the interval stability in high-order moment of SITSFSs. Different from the general concept of stability, besides determining the stability in high-order moment of the system, high-order moment interval stability can also describe the dynamic performance in high-order moment of systems. Then, the proposed approach in combination with fuzzy control theory provides a reliable and effective method for designing an interval state feedback controller that can ensure the stability of systems and regulate convergence rate of systems. Furthermore, moment observability of SITSFSs has also been addressed in this article. Finally, the numerical simulation verifies the validity and suitability of the proposed method.

中文翻译：

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随机脉冲 T-S 模糊系统的高阶矩区间稳定性/镇定性和可观测性


本文关注随机脉冲 T-S 模糊系统 (SITSFS) 的高阶矩区间稳定性/稳定性和可观测性问题。首先，本文提出了SITSFS高阶矩区间稳定性的定义。考虑到极点配置与系统性能的联系，给出了系统特征值在定义区间内分布的充分条件，作为SITSFS高阶矩区间稳定性的判据。与一般的稳定性概念不同，高阶矩区间稳定性除了决定系统在高阶矩下的稳定性外，还可以描述系统在高阶矩下的动态性能。然后，该方法结合模糊控制理论，为设计区间状态反馈控制器提供了一种可靠有效的方法，可以保证系统的稳定性并调节系统的收敛速度。此外，本文还讨论了 SITSFS 的矩可观测性。最后，数值模拟验证了所提方法的有效性和适用性。