Protocol-based SMC for singularly perturbed switching systems with sojourn probabilities

被引：43

作者：

Cheng, Jun ^{[1
]}

Xu, Jiangming ^{[1
]}

Park, Ju H. ^{[2
]}

Yan, Huaicheng ^{[3
]}

Zhang, Dan ^{[4
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541006, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 38541, South Korea

[3] East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

[4] Zhejiang Univ Technol, Coll Informat Engn, Hangzhou 310023, Peoples R China

来源：

AUTOMATICA | 2024年 / 161卷

基金：

新加坡国家研究基金会;

关键词：

Singularly perturbed switching systems; Event-triggered protocol; Slide mode control; Dynamic quantization; SLIDING-MODE CONTROL; LINEAR-SYSTEMS; STABILITY; STRATEGY;

D O I：

10.1016/j.automatica.2023.111470

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper focuses on the finite-time sliding mode control for singularly perturbed switching systems in the presence of sojourn probabilities. To effectively capture the dynamic behavior of singularly perturbed switching systems, a generalized framework of piecewise-homogeneous sojourn probabilities is established. Additionally, a novel event-triggered protocol is introduced to alleviate transmission frequency, making use of dynamic quantization and adjustable triggering thresholds to accommodate system state fluctuations. Besides, an asynchronous sliding mode control law is designed, using a suitable sliding function and hidden-Markov model strategy, to ensure the trajectory of the resulting singularly perturbed switching systems reaches the predefined sliding surface within a finite-time interval. Finally, the proposed method is validated using a numerical example and two practical models, demonstrating its effectiveness and practicality. \(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：11

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