Asynchronous Control for Discrete-Time Singular Markovian Jump Systems With Actuator Saturation

被引：7

作者：

Zhang, Qian ^{[1
]}

Yan, Huaicheng ^{[2
]}

Tian, Yongxiao ^{[3
]}

Qi, Ping ^{[1
]}

机构：

[1] Tongling Univ, Sch Math & Comp Sci, Tongling 244001, Peoples R China

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

[3] Shanghai Univ, Sch Future Technol, Shanghai 200444, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Actuators; Power system stability; Stability criteria; Hidden Markov models; Circuit stability; Symmetric matrices; Power system dynamics; Singular Markovian jump systems; asynchronous; saturation; STABILITY; SUBJECT;

D O I：

10.1109/TCSII.2024.3376679

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：

In this brief, we investigate the asynchronous control problem for discrete-time singular Markovian jump systems (SMJSs) with actuator saturation. A convex hull is constructed to deal with the saturated nonlinearity and a hidden Markov model (HMM) is adopted to describe the asynchronization behavior between the system and the controller. Firstly, some sufficient conditions to ensure the system is stochastically admissible with desired performance are obtained. Secondly, a novel approach is given to design the controller gains. Thirdly, the maximize domain of attraction of the system is estimated by the optimal method. Finally, an example is presented to show the effectiveness of the proposed method.

引用

页码：3890 / 3894

页数：5

共 19 条

[1] Extended Dissipative Sliding-Mode Control for Discrete-Time Piecewise Nonhomogeneous Markov Jump Nonlinear Systems [J].

Dong, Shanling ;

Xie, Kan ;

Chen, Guanrong ;

Liu, Meiqin ;

Wu, Zheng-Guang .

IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (09) :9219-9229

[2] Secure Consensus of Multiagent Systems With Input Saturation and Distributed Multiple DoS Attacks [J].

Du, Shengli ;

Yan, Qiushuo ;

Dong, Lijing ;

Qiao, Junfei .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (04) :2246-2250

[3] Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout [J].

Guo, Fang ;

Luo, Mengzhuo ;

Cheng, Jun ;

Wang, Xin ;

Shi, Kaibo .

NONLINEAR DYNAMICS, 2023, 111 (10) :9255-9273

[4] Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems [J].

Karan, Mehmet ;

Shi, Peng ;

Kaya, C. Yalcin .

AUTOMATICA, 2006, 42 (12) :2159-2168

[5] Admissible Control for Non-Linear Singular Systems Subject to Time-Varying Delay and Actuator Saturation: An Interval Type-2 Fuzzy Approach [J].

Kchaou, Mourad ;

Regaieg, Mohamed Amine ;

Jerbi, Houssem ;

Abbassi, Rabeh ;

Stefanoiu, Dan ;

Popescu, Dumitru .

ACTUATORS, 2023, 12 (01)

[6] Non-fragile mixed H∞/passive-based asynchronous sliding mode control for nonlinear singular Markovian jump systems [J].

Kchaou, Mourad ;

Jerbi, Houssem ;

Toual, Belgacem ;

Kouzou, Abdallah .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (03) :447-467

[7] 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

[8] Fault-Tolerant Control for T-S Fuzzy Stochastic Singular Systems [J].

Li, Rongchang ;

Yang, Ying .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (12) :3925-3935

[9] Set invariance conditions for singular linear systems subject to actuator saturation [J].

Lin, Zongli ;

Lv, Liang .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (12) :2351-2355

[10] Finite-time H∞ control for interval type-2 fuzzy singular systems via switched fuzzy models and static output feedback? [J].

Lv, Chengxing ;

Chen, Jian ;

Lv, Xia ;

Zhang, Ziye .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2022, 45

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