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Dissipative control of interval type-2 nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions
Nonlinear Dynamics ( IF 5.6 ) Pub Date : 2020-03-26 , DOI: 10.1007/s11071-020-05564-z
Thanh Binh Nguyen , Sung Hyun Kim

Abstract

This paper investigates the problem of designing a dissipative controller for interval type-2 nonhomogeneous Markovian jump fuzzy systems (MJFSs) with incomplete transition descriptions. To explore a generalized model for MJFSs under realistic situations, the coexistence of incompletely known transition rates and mismatched membership functions is considered in MJFS models, and the corresponding stabilization conditions are derived in terms of multi-parameterized linear matrix inequalities (M-PLMIs). In addition, to handle the problem of M-PLMIs, two novel relaxation techniques are additionally proposed such that the use of redundant constraints on multiple time-varying parameters can be significantly reduced. Finally, the validity of the proposed method is demonstrated via two illustrative examples.



中文翻译:

具有不完整过渡描述的区间2型非齐次马尔可夫跳跃模糊系统的耗散控制

摘要

本文研究了设计具有不完整过渡描述的区间型2型非齐次马尔可夫跳跃模糊系统(MJFS)的耗散控制器的问题。为了探索现实情况下的MJFS通用模型,在MJFS模型中考虑了不完全已知的跃迁速率和不匹配的隶属函数的共存,并根据多参数线性矩阵不等式(M-PLMI)导出了相应的稳定条件。另外,为了处理M-PLMI的问题,另外提出了两种新颖的松弛技术,使得可以显着减少对多个时变参数的冗余约束的使用。最后,通过两个例子验证了所提方法的有效性。

更新日期:2020-03-27
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