Global stabilization of nonlinear systems via hybrid implementation of dynamic continuous-time local controllers

被引：5
|
作者：
Mylvaganam, Thulasi [1 ]
Possieri, Corrado [2 ]
Sassano, Mario [3 ]
机构：
[1] Imperial Coll London, Dept Aeronaut, London SW7 2AZ, England
[2] Politecn Torino, Dipartimento Elettron & Telecomunicaz, I-10129 Turin, Italy
[3] Univ Roma Tor Vergata, Dipartimento Ingn Civile & Ingn Informat, I-00133 Rome, Italy
来源：
AUTOMATICA | 2019年 / 106卷
关键词：
D O I：
10.1016/j.automatica.2019.04.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a continuous-time system and a dynamic control law such that the closed-loop system satisfies standard Lyapunov conditions for local asymptotic stability, we propose a hybrid implementation of the continuous-time control law. We demonstrate that subject to certain "relaxed" conditions, the hybrid implementation yields global asymptotic stability properties. These conditions can be further specialized to yield local/regional asymptotic stability with an enlarged basin of attraction with respect to the original control law. Two illustrative numerical examples are provided to demonstrate the main results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：401 / 405
页数：5
相关论文
共 50 条
  • [1] Global Adaptive Dynamic Programming for Continuous-Time Nonlinear Systems
    Jiang, Yu
    Jiang, Zhong-Ping
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (11) : 2917 - 2929
  • [2] Stabilization of continuous-time switched nonlinear systems
    Colaneri, Patrizio
    Geromel, Jose C.
    Astolfi, Alessandro
    SYSTEMS & CONTROL LETTERS, 2008, 57 (01) : 95 - 103
  • [3] Stabilization of continuous-time nonlinear switched systems
    Colaneri, Patrizio
    Geromel, Jose C.
    Astolfi, Alessandro
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 3309 - 3314
  • [4] Stability of continuous-time nonlinear systems with digital controllers
    Bian, W
    French, M
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 2334 - 2339
  • [5] Continuous-time Dynamic Realization for Nonlinear Stabilization via Control Contraction Metrics
    Wang, Ruigang
    Manchester, Ian R.
    2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 1619 - 1624
  • [6] Global adaptive dynamic programming for continuous-time nonlinear polynomial systems
    Yu, Jiang
    Jiang, Zhong-Ping
    IFAC Proceedings Volumes (IFAC-PapersOnline), 2014, 19 : 9756 - 9761
  • [7] DECENTRALIZED STABILIZATION OF NONLINEAR CONTINUOUS-TIME DELAY SYSTEMS
    LEE, TN
    RADOVIC, UL
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1988, 325 (03): : 359 - 368
  • [8] Stability and stabilization of continuous-time singular hybrid systems
    Xia, Yuanqing
    Boukas, El-Kebir
    Shi, Peng
    Zhang, Jinhui
    AUTOMATICA, 2009, 45 (06) : 1504 - 1509
  • [9] Uniting local and global observers for the state estimation of nonlinear continuous-time systems
    Astolfi, Daniele
    Postoyan, Romain
    Nesic, Dragan
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [10] Identification of continuous-time nonlinear systems via local Gaussian process models
    Hachino, Tomohiro
    Matsushita, Kazuhiro
    Takata, Hitoshi
    Fukushima, Seiji
    Igarashi, Yasutaka
    IEEJ Transactions on Electronics, Information and Systems, 2014, 134 (11) : 1708 - 1715
12345