Sliding Mode Control of One-Sided Lipschitz Nonlinear Markovian Jump Systems With Partially Unknown Transition Rates

被引:3
|
作者
Li, Yuan [1 ]
Sun, Qingdong [1 ]
Ren, Junchao [2 ]
Liu, Yang [3 ]
机构
[1] Shenyang Univ Technol, Sch Sci, Shenyang 110870, Peoples R China
[2] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[3] Shenyang Univ Technol, Sch Elect Engn, Shenyang 110870, Peoples R China
来源
IEEE ACCESS | 2020年 / 8卷
关键词
Markovian jump systems; partially unknown transition rates; sliding mode control; one-sided Lipschitz; OPTIMAL TRACKING CONTROL; OBSERVER DESIGN; FEEDBACK;
D O I
10.1109/ACCESS.2020.3020323
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 investigates the problem of sliding mode control (SMC) for one-sided Lipschitz (OSL) nonlinear Markovian jump systems with partially unknown transition rates. Unmatched norm-bounded uncertainties of state matrices and output matrices are considered. First, a suitable integral-type sliding surface is proposed and a sufficient condition is given such that the sliding mode dynamics is stochastically stable with an H-infinity performance level gamma. Next, an SMC law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, two simulation examples are provided to prove the effectiveness of the proposed approach.
引用
收藏
页码:158306 / 158316
页数:11
相关论文
共 50 条
  • [41] Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities
    Kang, Lifan
    Wang, Yue
    Hou, Ting
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [42] Sliding mode control for singular stochastic Markovian jump systems with uncertainties
    Zhang, Qingling
    Li, Li
    Yan, Xing-Gang
    Spurgeon, Sarah K.
    AUTOMATICA, 2017, 79 : 27 - 34
  • [43] Adaptive Distributed Consensus Control of One-Sided Lipschitz Nonlinear Multiagents
    Agha, Rizwana
    Rehan, Muhammad
    Ahn, Choon Ki
    Mustafa, Ghulam
    Ahmad, Sohaira
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (03): : 568 - 578
  • [44] Exponential Observer for a Class of One-Sided Lipschitz Stochastic Nonlinear Systems
    Barbata, Asma
    Zasadzinski, Michel
    Ali, Harouna Souley
    Messaoud, Hassani
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (01) : 259 - 264
  • [45] H∞ performance for delayed singular nonlinear Markovian jump systems with unknown transition rates via adaptive control method
    Yang, Guowei
    Kao, Binghua
    Park, Ju H.
    Kao, Yonggui
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 33 : 33 - 51
  • [46] On sliding mode control of single input Markovian jump systems
    Zhu, Qing
    Yu, Xinghuo
    Song, Aiguo
    Fei, Shumin
    Cao, Zhiqiang
    Yang, Yuequan
    AUTOMATICA, 2014, 50 (11) : 2897 - 2904
  • [47] Stochastic stability of nonlinear discrete-time Markovian jump systems with time-varying delay and partially unknown transition rates
    Hien, L. V.
    Dzung, N. T.
    Trinh, H.
    NEUROCOMPUTING, 2016, 175 : 450 - 458
  • [48] Sliding mode control for Markovian jumping systems subject to partially known transition rate
    Chen, Bei
    Jia, Tinggang
    Niu, Yugang
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 3141 - 3146
  • [49] Robust H∞ sliding-mode control for Markovian jump systems subject to intermittent observations and partially known transition probabilities
    Zhang, Hui
    Wang, Junmin
    Shi, Yang
    SYSTEMS & CONTROL LETTERS, 2013, 62 (12) : 1114 - 1124
  • [50] Finite-time H∞ Dynamic Output Feedback Control for One-Sided Lipschitz Nonlinear Rectangular Descriptor Markov Jump Systems
    Song, Xue
    Ma, Shuping
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (05) : 2695 - 2722