Event-Triggered H∞ Sliding Mode Control for Discrete-Time Singular Markov Jump Systems with Uncertainties in the Difference Matrix

被引：0

作者：

Su, Ying ^{[1
]}

Yang, Dongmei ^{[1
]}

Ren, Junchao ^{[1
]}

机构：

[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2024年 / 43卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Singular Markov jump systems; Event-triggered strategy; Sliding mode control; Left-singular matrix; Discrete-time systems; H-INFINITY CONTROL; DESCRIPTOR SYSTEMS; STABILITY ANALYSIS; STABILIZATION;

D O I：

10.1007/s00034-024-02667-5

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper investigates the sliding mode control (SMC) problem of discrete-time singular Markovian jump systems with time-varying delay under an event-triggered strategy (ETS). In the system we study, there are uncertainties in the system matrix, especially in the difference matrix. A state augmentation strategy is proposed due to uncertainties in the difference matrix. A suitable sliding mode surface (SMS) function is built, and the corresponding sliding mode dynamics (SMD) is derived based on ETS. Some sufficient conditions are presented to guarantee that SMD is H-infinity-admissible for all uncertainties. Furthermore, an SMC law under ETS is derived so that the system trajectories can be driven onto the prescribed SMS in finite time. Finally, the effectiveness of the approach in the paper is demonstrated by two simulated examples.

引用

页码：4764 / 4789

页数：26

共 35 条

[1]

Asai T., 1993, IFAC PROC VOL, V26, P223, DOI [10.1016/S1474-6670(17)48931-2, DOI 10.1016/S1474-6670(17)48931-2]

[2] Admissibility analysis of discrete linear time-varying descriptor systems [J].

Barbosa, Karina A. ;

de Souza, Carlos E. ;

Coutinho, Daniel .

AUTOMATICA, 2018, 91 :136-143

[3] Robust static output feedback H∞ control for uncertain fuzzy systems [J].

Chang, Xiao-Heng ;

Zhang, Liang ;

Park, Ju H. .

FUZZY SETS AND SYSTEMS, 2015, 273 :87-104

[4] Novel stability conditions for discrete-time T-S fuzzy systems: A Kronecker-product approach [J].

Chen, Jun ;

Xu, Shengyuan ;

Zhang, Baoyong ;

Qi, Zhidong ;

Li, Ze .

INFORMATION SCIENCES, 2016, 337 :72-81

[5]

Chen L, 2020, CIRC SYST SIGNAL PR, V39, P5429, DOI 10.1007/s00034-020-01435-5

[6] Robust stabilization for uncertain singular Markovian jump systems via dynamic output-feedback control [J].

Chen, Wenbin ;

Gao, Fang ;

Xu, Shengyuan ;

Li, Yongmin ;

Chu, Yuming .

SYSTEMS & CONTROL LETTERS, 2023, 171

[7] Robust H? sliding mode control for uncertain polynomial fuzzy stochastic singular systems [J].

Feng, Zhiguang ;

Yang, Yang .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (04) :2893-2912

[8] Memory-Based Continuous Event-Triggered Control for Networked T-S Fuzzy Systems Against Cyberattacks [J].

Gu, Zhou ;

Shi, Peng ;

Yue, Dong ;

Yan, Shen ;

Xie, Xiangpeng .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (10) :3118-3129

[9] Delay-dependent stability analysis for singular Markovian jump systems with incomplete transition probabilities [J].

Kim, Sung Hyun .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (01) :236-247

[10] Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems [J].

Li, Jinghao ;

Zhang, Qingling ;

Yan, Xing-Gang ;

Spurgeon, Sarah K. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (05) :2818-2832

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