On p-normal forms of nonlinear systems

被引：86
|
作者：
Cheng, DZ [1 ]
Lin, W
机构：
[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 07期
关键词：
differential geometric approach; feedback equivalence; local diffeamorphism; nonlinear systems; p-normal form; state feedback;
D O I：
10.1109/TAC.2003.814270
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Using the differential-geometric control theory, we present in this note a necessary and sufficient condition under which an affine system is locally feedback equivalent to, via a change of coordinates and restricted smooth state feedback, a generalized normal form called p-normal form, which includes Brunovsky canonical form and feedback linearizable systems in a lower-triangular form as its special cases. We also give an algorithm for computing the appropriate coordinate transformations and feedback control laws.
引用
收藏
页码：1242 / 1248
页数：7
相关论文
共 50 条
  • [31] Fixed-time control of nonlinear p-normal systems under saturated threshold event-triggered mechanism
    Liu, Yang
    Meng, Yanting
    Liang, Hongjing
    Wang, Lijie
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (04) : 2511 - 2528
  • [32] Adaptive output feedback control for p-normal nonlinear time-varying delay systems with unknown output function
    Shen, Yingying
    Zhai, Junyong
    Journal of the Franklin Institute, 2022, 359 (09) : 4097 - 4115
  • [33] Output feedback finite-time stabilization of a class of nonlinear time-delay systems in the p-normal form
    Wang Xuhuan
    Huang Shipei
    Xiang Zhengrong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (11) : 4418 - 4432
  • [34] Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs
    Hou, Deheng
    Gao, Fangzheng
    IEEE ACCESS, 2021, 9 : 11272 - 11281
  • [35] P-NORMAL ALMOST-PRODUCT STRUCTURE
    CORDERO, LA
    TENSOR, 1974, 28 (03): : 229 - 238
  • [36] Adaptive Backstepping based Secure Control for P-normal Form of Second-Order Nonlinear Systems Against Deception Attacks
    Yu, Mengze
    Wang, Wei
    Zhou, Jing
    Tong, Yongxin
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 1802 - 1807
  • [37] A dynamic-event approach to adaptive asymptotic tracking control of p-normal nonlinear systems under full state constraints
    Li, Qidong
    Hua, Changchun
    Li, Kuo
    Li, Hao
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (01): : 357 - 373
  • [38] Global adaptive event-triggered output feedback control for p-normal feedforward nonlinear systems with uncertain output function
    Liu, Ce
    Zhai, Junyong
    Li, Zeyu
    14TH ASIA CONFERENCE ON MECHANICAL AND AEROSPACE ENGINEERING, ACMAE 2023, 2024, 2746
  • [39] Global Decentralized Control of p-Normal Large-Scale Nonlinear Systems Based on Sampled-Data Output Feedback
    He, Wenmin
    Li, Shi
    Ahn, Choon Ki
    Guo, Jian
    Xiang, Zhengrong
    IEEE SYSTEMS JOURNAL, 2021, 15 (03): : 3540 - 3548
  • [40] Fast Finite-time H∞ Control for a Class of p-normal Form Nonlinear Systems with Output Constraint and Its Application
    Liyao Hu
    Xiaohua Li
    International Journal of Control, Automation and Systems, 2020, 18 : 930 - 943
12345