Inverse optimal gain assignment control for Markovian jump nonlinear systems

被引：0
|
作者：
Wang, Chuan-Rui [1 ]
Wang, Xing-Hu [1 ]
Ji, Hai-Bo [1 ]
机构：
[1] Department of Automation, University of Science and Technology of China, Hefei Anhui 230027, China
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2013年 / 30卷 / 05期
关键词：
Backstepping - Markov processes - Inverse problems - Combinatorial optimization - System stability - Feedback - Stabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The concept of input-to-state stability in probability is introduced and an input-to-state stabilization protocol is proposed for a class of strict feedback Markovian jump nonlinear systems. It is shown that the existence of a group of input-to-state stable control Lyapunov function with small control is a sufficient condition for the solvability of the inverse optimal gain assignment problem. Finally using backstepping method we construct a smooth feedback control law for a class of strict feedback nonlinear systems. To deal with the coupling item caused by Markovian jump the Lyapunov function and the controller are designed independently of the operation mode.
引用
收藏
页码：537 / 542
相关论文
共 50 条
  • [41] Geometric H∞ control of nonlinear Markovian jump system
    Lin, Zhongwei
    Liu, Jizhen
    Niu, Yuguang
    Zhang, Wenguang
    2013 18th International Conference on Methods and Models in Automation and Robotics, MMAR 2013, 2013, : 748 - 752
  • [42] Optimal l2-l∞ Filtering for Markovian Jump Repeated Scalar Nonlinear Systems
    Zheng, Zhong
    Hu, Zhongrui
    Li, Fanbiao
    Wu, Ligang
    2014 IEEE 23RD INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE), 2014, : 2329 - 2334
  • [43] Finite horizon quadratic optimal control and a separation principle for Markovian jump linear systems
    Costa, OLV
    Tuesta, EF
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (10) : 1836 - 1842
  • [44] Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique
    Zhu, Jin
    Xi, Hongsheng
    Ling, Qiang
    Xie, Wanqing
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [45] Observer-based adaptive sliding mode control for nonlinear Markovian jump systems
    Li, Hongyi
    Shi, Peng
    Yao, Deyin
    Wu, Ligang
    AUTOMATICA, 2016, 64 : 133 - 142
  • [46] Disturbance rejection and tracking control design for nonlinear semi-Markovian jump systems
    Harshavarthini, S.
    Sakthivel, R.
    Abinandhitha, R.
    Kwon, O. M.
    INFORMATION SCIENCES, 2024, 677
  • [47] Full-State Feedback Linearization and Backstepping Control of Nonlinear Markovian Jump Systems
    Lin, Zhongwei
    Liu, Jizhen
    Niu, Yuguang
    Wang, Wei
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 213 - 217
  • [48] Robust Adaptive Sliding Mode Control for Nonlinear Uncertain Neutral Markovian Jump Systems
    Yao, Deyin
    Liu, Ming
    Li, Hongyi
    Ma, Haoyi
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (08) : 2741 - 2761
  • [49] Robust Fuzzy Tracking Control Design for a Class of Nonlinear Stochastic Markovian Jump Systems
    Huang, Ran
    Lin, Yan
    Lin, Zhongwei
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (05): : 1 - 9
  • [50] Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems
    Yin, Xiaohan
    Zhu, Quanxin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
12345