Output regulation for switched LPV systems with Markovian jump parameters and its application

被引:5
|
作者
Yang, Dong [1 ]
Zhao, Jun [1 ]
Zong, Guangdeng [2 ]
机构
[1] Northeastern Univ, Coll Informat Sci & Engn, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
[2] Qufu Normal Univ, Sch Engn, Jining, Peoples R China
基金
中国国家自然科学基金;
关键词
Output regulation; Markovian jump parameters; switched LPV systems; partially unknown transition probabilities; parameter-dependent stochastic Lyapunov functions; H-INFINITY CONTROL; UNCERTAIN NONLINEAR-SYSTEMS; MULTIPLE LYAPUNOV FUNCTIONS; GUARANTEED COST CONTROL; LINEAR-SYSTEMS; DWELL-TIME; FEEDBACK CONTROL; ROBUST-CONTROL; STABILITY; MODEL;
D O I
10.1177/0142331217727050
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 deals with the output regulation problem for switched linear parameter-varying (LPV) systems with Markovian jump parameters under partially unknown transition probabilities. Our aim is to find a feedback controller, such that the regulated output asymptotically converges to zero and the closed-loop system is stochastically stable when v(t)[0. Firstly, we give sufficient conditions for the solvability of the output regulation problem. Then, using the parameter-dependent stochastic Lyapunov functions method, we design a state feedback controller and a regulation observer-based controller for individual switched LPV subsystems to solve the output regulation problem for the given systems. Finally, the output regulation problem of an aero-engine model is investigated, and the effectiveness of the proposed control design scheme is illustrated by its application to a speed regulation problem of an aero-engine.
引用
收藏
页码:2831 / 2842
页数:12
相关论文
共 50 条
  • [21] Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise
    Wang, Shitong
    Wu, Zheng-Guang
    Wu, Zhaojing
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (04) : 1463 - 1479
  • [22] Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
    Wu, Ligang
    Su, Xiaojie
    Shi, Peng
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) : 199 - 204
  • [23] Stochastic output feedback controller for singular Markovian jump systems with discontinuities
    Raouf, J.
    Boukas, E. K.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (01): : 68 - 78
  • [24] Exponential synchronization of complex dynamical networks with markovian jump parameters and stochastic delays and its application to multi-agent systems
    Yi, Jing-Wen
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    Huang, Yuehua
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (05) : 1175 - 1192
  • [25] Observer Design for Delayed Markovian Jump Systems with Output State Saturation
    Wang, Guoliang
    Feng, Bo
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [26] Fault Tolerant Control of Markovian Jump Systems with Uncertain Parameters
    Dou, Rui
    Fu, Shasha
    Chen, Liheng
    2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, : 5501 - 5506
  • [27] H∞ and robust control of interconnected systems with Markovian jump parameters
    Mahmoud, MS
    Shi, P
    Shi, Y
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (02): : 365 - 384
  • [28] STABILITY AND OUTPUT FEEDBACK CONTROL FOR SINGULAR MARKOVIAN JUMP DELAYED SYSTEMS
    Chen, Jian
    Zhang, Tao
    Zhang, Ziye
    Lin, Chong
    Chen, Bing
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2018, 8 (02) : 475 - 490
  • [29] Dynamic Output Feedback Asynchronous Control of Networked Markovian Jump Systems
    Liu, Xinghua
    Ma, Guoqi
    Pagilla, Prabhakar R.
    Ge, Shuzhi Sam
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07): : 2705 - 2715
  • [30] A robust suppress of stochastic nonlinear systems with Markovian jump parameters
    Zhu Jin
    Li Da-peng
    Xi Hong-sheng
    Ji Hai-bo
    PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2, 2005, : 689 - 694