Global Stabilization of the Double Integrator System With Saturation and Delay in the Input

被引:32
|
作者
Zhou, Bin [1 ]
Duan, Guangren [1 ]
Lin, Zongli [2 ]
机构
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[2] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
基金
中国国家自然科学基金;
关键词
Actuator saturation; global stabilization; linear feedback; nonlinear systems; time-delay; COMPLETE STABILITY ANALYSIS; PLANAR LINEAR-SYSTEMS; MULTIPLE INTEGRATORS; TIME-DELAY; EXTERNAL STABILITY; SUBJECT; OSCILLATORS; DESIGN;
D O I
10.1109/TCSI.2009.2028645
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper is concerned with the problem of global stabilizing a double integrator system subject to actuator saturation and delay in the input. Two solutions to the problem are proposed by using linear state feedback which are parameterized in a single scalar gamma. The first solution is delay-dependent in the sense that the delay information is directly used in the feedback design. The second solution is delay-independent as the delay information is not directly used in the feedback. Ranges of the value of the free parameter gamma are established within which the closed-loop system is globally asymptotically stable. A numerical example is used to illustrate the effectiveness of the proposed approach.
引用
收藏
页码:1371 / 1383
页数:13
相关论文
共 50 条
  • [1] Finite-time Stabilization of the Double Integrator Subject to Input Saturation and Input Delay
    Huawen Ye
    Meng Li
    Chunhua Yang
    Weihua Gui
    IEEE/CAA Journal of Automatica Sinica, 2018, 5 (05) : 1017 - 1024
  • [2] Finite-time Stabilization of the Double Integrator Subject to Input Saturation and Input Delay
    Ye, Huawen
    Li, Meng
    Yang, Chunhua
    Gui, Weihua
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2018, 5 (05) : 1017 - 1024
  • [3] Global Asymptotic Stabilization of the Double Integrator System With Output Saturation
    Li, Yuhui
    Li, Yuanlong
    Lin, Zongli
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (02) : 1208 - 1213
  • [4] On external semi-global stochastic stabilization of a double integrator with input saturation
    Stoorvogel, Anton A.
    Saberi, Ali
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 3493 - 3497
  • [5] Global asymptotic stabilization for chains of integrator with a delay in the input
    Mazenc, F
    Mondié, S
    Niculescu, SI
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (01) : 57 - 63
  • [6] On the L-stabilization of the double integrator subject to input saturation
    Chitour, Y
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2001, 6 (12): : 291 - 331
  • [7] Global Practical Stabilization of the Double Integrator System In the Presence of Output Saturation and a Bounded Disturbance
    Zhu, Zhiyuan
    Li, Yuanlong
    Lin, Zongli
    IFAC PAPERSONLINE, 2023, 56 (02): : 11383 - 11388
  • [8] Global Practical Stabilization for Integrator Chain with Actuator Saturation and Input Additive Disturbances
    Fang, Haijun
    2011 AMERICAN CONTROL CONFERENCE, 2011, : 3802 - 3807
  • [9] Stabilization of nonlinear delay Hamiltonian system with actuator saturation and input delay
    Yang, Renming
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 715 - 719
  • [10] Global finite-time stabilization of nonlinear integrator systems subject to input saturation
    Ding S.-H.
    Li S.-H.
    Zidonghua Xuebao/Acta Automatica Sinica, 2011, 37 (10): : 1222 - 1231