Stabilization of nonlinear systems via periodically intermittent control

被引：235
|
作者：
Li, Chuandong [1 ]
Feng, Gang
Liao, Xiaofeng
机构：
[1] Hangzhou Dianzi Univ, Sch Comp, Hangzhou 310018, Peoples R China
[2] City Univ Hong Kong, Dept Engn Manufacture & Engn Management, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2007年 / 54卷 / 11期
基金：
中国国家自然科学基金;
关键词：
exponential stabilization; intermittent control; optimal control;
D O I：
10.1109/TCSII.2007.903205
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 brief studies the exponential stabilization problem for a class of nonlinear systems by means of periodically intermittent control. An exponential stability criterion given in terms of a set of linear matrix inequalities, together with a simpler sufficient condition determined by three scalar inequalities, is presented. A suboptimal, intermittent controller is designed with respect to the general cost function under the assumption that the control period and control width are fixed and known. Numerical simulations are presented to verify the theoretical results.
引用
收藏
页码：1019 / 1023
页数：5
相关论文
共 50 条
  • [21] Periodically intermittent discrete observations control for stabilization of highly nonlinear hybrid stochastic differential equations
    Hu, Lanying
    Ren, Yong
    Zhang, Qi
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 50
  • [22] Stabilization of Highly Nonlinear Stochastic Time-Varying Coupled Systems via Aperiodically Intermittent Control
    Liu, Yan
    Hu, Wen-Bin
    Wang, Jin-Liang
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2023, 10 (02): : 765 - 776
  • [23] Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control
    You, Luyao
    Yang, Xueyan
    Wu, Shuchen
    Li, Xiaodi
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 443
  • [24] Stabilization of nonlinear dynamical systems via intermittent control with non-instantaneous impulses and actuator saturation
    Wu, Hongjuan
    Li, Chuandong
    Wang, Yinuo
    He, Zhilong
    Deng, Hao
    ISA TRANSACTIONS, 2022, 130 : 316 - 324
  • [25] Exponential synchronization of chaotic systems with stochastic noise via periodically intermittent control
    Xu, Cong
    Tong, Dongbing
    Chen, Qiaoyu
    Zhou, Wuneng
    Xu, Yuhua
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2611 - 2624
  • [26] Synchronization of chaotic systems with parameter mismatch and disturbance via periodically intermittent control
    Li, N. (li623ning@163.com), 1600, Binary Information Press, P.O. Box 162, Bethel, CT 06801-0162, United States (09):
  • [27] Stabilization of Delayed Chaotic Neural Networks by Periodically Intermittent Control
    Junjian Huang
    Chuandong Li
    Qi Han
    Circuits, Systems & Signal Processing, 2009, 28 : 567 - 579
  • [28] Stabilization of Delayed Chaotic Neural Networks by Periodically Intermittent Control
    Huang, Junjian
    Li, Chuandong
    Han, Qi
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (04) : 567 - 579
  • [29] Stabilization of a Class of Nonlinear Systems With Random Disturbance via Intermittent Stochastic Noise
    Zhang, Bo
    Lim, Cheng-Chew
    Shi, Peng
    Xie, Shengli
    Deng, Feiqi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (03) : 1318 - 1324
  • [30] Exponential Stabilization for Linear Systems with Actuator Saturation Via Intermittent Control
    Wang, Yijing
    Li, Weiyan
    Yang, Wenlong
    Zuo, Zhiqiang
    Chen, Michael Z. Q.
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 204 - 208
12345