Co-design of transition rates and sliding mode switched controller for Markovian jumping systems under intermittent DoS attacks

被引：6

作者：

Chen, Bei ^{[1
]}

Jia, Tinggang ^{[2
]}

Niu, Yugang ^{[3
]}

机构：

[1] Shanghai Univ Engn Sci, Shanghai 201620, Peoples R China

[2] Shanghai Elect Automat Grp, Shanghai 200023, Peoples R China

[3] East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE | 2022年 / 359卷 / 08期

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Co-design; Markovian jump systems; Intermittent denial-of-service attacks; Sliding mode control; Synchronous/asynchronous switching strategy; Transition rate synthesis; STABILIZATION; STABILITY;

D O I：

10.1016/j.jfranklin.2022.03.015

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 stabilization problem for a class of Markovian jumping systems (MJSs) subject to intermittent denial-of-service (IDoS) attacks by synthesizing the sliding mode control (SMC) and the transition rate matrix (TRM). The existing conditions for the transition rates are firstly established to ensure the exponential mean-square stability of the unforced uncertain MJSs. And then, a co-design scheme for both the sliding mode controller and TRM is synthesized to achieve the exponential mean-square stability of the closed-loop system under IDoS, in which a switching estimator is utilized to estimate the unmeasurable system state. By introducing a novel Lyapunov function, both the reachability and the stability of sliding mode dynamics are detailedly analyzed, and an iterative optimization algorithm is given for solving the corresponding sufficient conditions. Finally, the proposed co-design SMC strategy is illustrated via the simulation examples. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3549 / 3574

页数：26

共 29 条

[1] Sliding Mode Controller Design for Stochastic Polynomial Systems With Unmeasured States [J].

Basin, Michael V. ;

Rodriguez-Ramirez, Pablo Cesar .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2014, 61 (01) :387-396

[2] Risk-Sensitive Control Under Markov Modulated Denial-of-Service (DoS) Attack Strategies [J].

Befekadu, Getachew K. ;

Gupta, Vijay ;

Antsaklis, Panos J. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) :3299-3304

[3] Static output feedback stabilization: An ILMI approach [J].

Cao, YY ;

Lam, J ;

Sun, YX .

AUTOMATICA, 1998, 34 (12) :1641-1645

[4] A Hybrid Sliding Mode Control Scheme of Markovian Jump Systems via Transition Rates Optimal Design [J].

Cao, Zhiru ;

Niu, Yugang ;

Lam, James ;

Song, Xiaoqi .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (12) :7752-7763

[5] Finite-time stochastic boundedness of Markovian jump A-mode-based method [J].

Cao, Zhiru ;

Niu, Yugang .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 36

[6] Finite-Time Sliding-Mode Control of Markovian Jump Cyber-Physical Systems Against Randomly Occurring Injection Attacks [J].

Cao, Zhiru ;

Niu, Yugang ;

Song, Jun .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (03) :1264-1271

[7] Defending against flooding-based distributed denial-of-service attacks: A tutorial [J].

Chang, RKC .

IEEE COMMUNICATIONS MAGAZINE, 2002, 40 (10) :42-51

[8] Dynamic event-triggered sliding mode security control for Markovian jump systems: Learning-based iteration optimization method [J].

Chen, Bei ;

Zou, Yuanyuan ;

Niu, Yugang .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (05) :2500-2517

[9] Input-to-State Stabilizing Control Under Denial-of-Service [J].

De Persis, Claudio ;

Tesi, Pietro .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (11) :2930-2944

[10] A Detector-Based Approach for the H2 Control of Markov Jump Linear Systems With Partial Information [J].

do Valle Costa, Oswaldo Luiz ;

Fragoso, Marcelo D. ;

Todorov, Marcos Garcia .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (05) :1219-1234

← 1 2 3 →