H∞ sliding mode control problem for uncertain singular Markovian jump system with time-varying delays

被引：0

作者：

An, Yingkang ^{[1
]}

Zhang, Baoyong ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

关键词：

Time-varying delays; sliding mode control (SMC); Markovian jump system; H-infinity control; STABILITY; PASSIVITY;

D O I：

10.1109/CCDC52312.2021.9601764

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we deal with the H-infinity sliding mode control (SMC) problem for uncertain singular Markovian jump systems with time-varying delays. First, an integral-type switching surface function is constructed. Then, by using a Lyapunov Krasovskii functional which depends on time delays and system modes, we obtain the sufficient conditions for stochastic admissibility of sliding mode dynamics with a given disturbance attenuation level which are expressed in terms of strict linear matrix inequalities (LMIs). Moreover, a SMC law is designed to ensure that system states can reach the predefined sliding surface finally. Finally, a numerical example is given to show the effectiveness of the proposed method.

引用

页码：4441 / 4446

页数：6

共 20 条

[1] Delay-dependent output feedback stabilisation of Markovian jump system with time-delay [J].

Chen, WH ;

Guan, ZH ;

Lu, X .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05) :561-566

[2] Sliding Mode Control of Singular Stochastic Markov Jump Systems [J].

Feng, Zhiguang ;

Shi, Peng .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) :4266-4273

[3] Stability analysis of digital linear flight controllers subject to electromagnetic disturbances [J].

Gray, WS ;

González, OR ;

Dogan, M .

IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2000, 36 (04) :1204-1218

[4]

Gu ZT, 2019, IEEE IND ELEC, P6521, DOI 10.1109/IECON.2019.8927469

[5]

Ji YD, 2014, CHIN CONTR CONF, P37, DOI 10.1109/ChiCC.2014.6896592

[6] Passivity-Based Asynchronous Sliding Mode Control for Delayed Singular Markovian Jump Systems [J].

Li, Fanbiao ;

Du, Chenglong ;

Yang, Chunhua ;

Gui, Weihua .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) :2715-2721

[7] Asynchronous adaptive dynamic output feedback sliding mode control for singular markovian jump systems with actuator faults and uncertain transition rates [J].

Li, Min ;

Liu, Ming ;

Zhang, Yingchun .

APPLIED MATHEMATICS AND COMPUTATION, 2020, 371

[8]

Ma SP, 2009, ASIA CONTROL CONF AS, P182

[9]

Mao XR, 2002, IEEE T AUTOMAT CONTR, V47, P1604, DOI [10.1109/TAC.2002.803529, 10.1109/TAC.2002.804529]

[10] A Survey on Markovian Jump Systems: Modeling and Design [J].

Shi, Peng ;

Li, Fanbiao .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2015, 13 (01) :1-16

← 1 2 →