Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

被引：1

作者：

Wan, Xiaohe ^{[1
]}

Li, Yan ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Swinburne Coll, Jinan Campus, Jinan 250031, Peoples R China

来源：

MATHEMATICS | 2024年 / 12卷 / 07期

基金：

中国国家自然科学基金;

关键词：

backstepping technique; adaptive fuzzy control; unknown hysteresis; nonlinear stochastic switched systems; NEURAL-NETWORK CONTROL; TRACKING CONTROL; LINEAR-SYSTEMS; H-INFINITY; STABILIZATION; STABILITY;

D O I：

10.3390/math12071070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The adaptive fuzzy backstepping control problem is studied for Ito-type nonlinear switched systems subject to unknown hysteresis input. Compared with existing works, the unknown hysteresis and stochastic disturbances are considered in the pure-feedback switched systems. The mean value theorem tackles the non-affine functions. The backstepping technique introduces an auxiliary virtual controller. In addition, the Nussbaum function is employed to solve the difficulty caused by the unknown hysteresis under arbitrary switching. Based on a fuzzy logic system and backstepping technique, a new adaptive control proposal is obtained, which ensures that the system states satisfy semiglobally uniformly ultimately bounded (SGUUB) in probability and that the tracking error converges to a region of the origin. Finally, we provide two examples to show the validity of the presented scheme.

引用

页数：22

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