Stabilization for A Collection of Feedback Linearizable Systems

被引:0
|
作者
Cai, Xiushan [1 ]
Lin, Lihua [1 ]
Lin, Rong [1 ]
Su, Shaoqing [1 ]
Dai, Pingfan [1 ]
机构
[1] Sanming Coll, Dept Math & Comp Sci, Sanming 365004, Peoples R China
关键词
nonlinear systems; stabilization; control Lyapunov function; state feedback; UNIVERSAL CONSTRUCTION; NONLINEAR-SYSTEMS; PERFORMANCE;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Stabilization for a collection of feedback linearizable systems with uncertain parameter is dealt with in this paper. Necessary and sufficient conditions for a quadratic control Lyapunov function to be a common control Lyapunov function for these systems are obtained. A continuous state feedback control is designed based on the common control Lyapunov function. It can simultaneously stabilize these systems. Finally, the effectiveness of the proposed scheme is illustrated by a simulation example.
引用
收藏
页码:1511 / 1515
页数:5
相关论文
共 50 条
  • [1] A note on robust stabilization of feedback linearizable systems
    Wang, LY
    Makki, I
    Zhan, W
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1997, 7 (01) : 85 - 95
  • [2] OUTPUT-FEEDBACK STABILIZATION OF FULLY LINEARIZABLE SYSTEMS
    ESFANDIARI, F
    KHALIL, HK
    INTERNATIONAL JOURNAL OF CONTROL, 1992, 56 (05) : 1007 - 1037
  • [3] Contraction Based Stabilization of Approximate Feedback Linearizable Systems
    Rayguru, M. M.
    Kar, I. N.
    2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 587 - 592
  • [4] Stabilization of approximately feedback linearizable systems using singular perturbation
    Son, Jun-Won
    Lim, Jong-Tae
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (06) : 1499 - 1503
  • [5] Asymptotic stabilization of feedback linearizable systems via estimated diffeomorphism
    Choi, Ho-Lim
    Lim, Jong-Tae
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2007, E90A (07): : 1476 - 1480
  • [6] Stabilization of feedback linearizable systems using a radial basis function network
    Nam, K
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) : 1026 - 1031
  • [7] Speed Observation and Position Feedback Stabilization of Partially Linearizable Mechanical Systems
    Venkatraman, Aneesh
    Ortega, Romeo
    Sarras, Ioannis
    van der Schaft, Arjan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) : 1059 - 1074
  • [8] Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems
    Angulo, Marco Tulio
    Fridman, Leonid
    Moreno, Jaime A.
    AUTOMATICA, 2013, 49 (09) : 2767 - 2773
  • [9] Stabilization of switched linearizable nonlinear systems
    Cheng, Daizhan
    Qi, Hongsheng
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 765 - 770
  • [10] ROBUST STABILIZATION OF FEEDBACK LINEARIZABLE TIME-VARYING UNCERTAIN NONLINEAR-SYSTEMS
    MARINO, R
    TOMEI, P
    AUTOMATICA, 1993, 29 (01) : 181 - 189