Stabilization control of nonlinear system of polynomial form using the strict linearization

被引：0
|
作者：
Su Y. [1 ]
Okubo S. [1 ]
机构：
[1] Faculty of Engineering, Yamagata University, Yonezawa, Yamagata, 992-8510, 4-3-16, Jonan
来源：
IEEJ Transactions on Electronics, Information and Systems | 2010年 / 130卷 / 05期
关键词：
Lie product; Manifold theory; Nonlinear system; Polynomial form; Strict linearization;
D O I：
10.1541/ieejeiss.130.834
中图分类号：
学科分类号：
摘要：
In this paper stabilization control of nonlinear system of polynomial form is studied using the the strict linearization method. The controlled object is expressed by polynomial form with tensor calculation. The original nonlinear system can be transformed to a linear controllable system by nonlinear coordinate transformation. We can show the global design of stabilization control for polynomial nonlinear system. © 2010 The Institute of Electrical Engineers of Japan.
引用
收藏
页码：834 / 843+14
相关论文
共 50 条
  • [1] Stabilization control by the strict linearization of polynomial form nonlinear system
    Su, Yuhang
    Okubo, Shigenori
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1090 - +
  • [2] Adaptive NN control of nonlinear systems in strict-feedback form using feedback linearization
    Zhang, Tianping
    Ge, Shuzhi Sam
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 331 - 335
  • [3] Stabilization Control for a Class of Switched Nonlinear Systems in Strict-Feedback Form
    Zhu Baicheng
    Zhang Tianping
    Yang Yuequan
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1066 - 1070
  • [4] Simultaneous stabilization and robust control for polynomial nonlinear systems using SOS
    Xu, Jun
    Xie, Lihua
    Wang, Youyi
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 3796 - 3801
  • [5] Nonlinear Control of a Magnetic Levitation System using Feedback Linearization
    Pradhan, Santanu Kumar
    Singh, Raghuwansh
    2014 INTERNATIONAL CONFERENCE ON ADVANCED COMMUNICATION CONTROL AND COMPUTING TECHNOLOGIES (ICACCCT), 2014, : 152 - 156
  • [6] Feedback linearization and backstepping: an equivalence in control design of strict-feedback form
    Tran, Thanh T.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2020, 37 (04) : 1049 - 1069
  • [7] Feedback linearization and backstepping: An equivalence in control design of strict-feedback form
    Tran T.T.
    IMA Journal of Mathematical Control and Information, 2021, 37 (04) : 1049 - 1069
  • [8] Strict feedforward form and symmetries of nonlinear control systems
    Respondek, W
    Tall, IA
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 1611 - 1616
  • [9] Nonlinear Feedback Control of Stabilization Problem via Formal Linearization Using Taylor Expansion
    Komatsu, Kazuo
    Takata, Hitoshi
    2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3, 2008, : 1581 - +
  • [10] Simultaneous Stabilization and Robust Control of Polynomial Nonlinear Systems Using SOS Techniques
    Xu, Jun
    Xie, Lihua
    Wang, Youyi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (08) : 1892 - 1897
12345