Periodic Stabilization of Discrete-Time Switched Linear Systems

被引：0
|
作者：
Lee, Donghwan [1 ]
Hu, Jianghai [1 ]
机构：
[1] Purdue Univ, Dept Elect & Comp Engn, W Lafayette, IN 47906 USA
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
关键词：
COMPUTATION; STABILITY;
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：
The goal of this paper is to study stabilization problem for discrete-time linear switched systems. To this end, a periodic state-feedback switching controller is considered along with the generalized periodic Lyapunov inequalities. To compute the control Lyapunov function, a bilinear matrix inequality (BMI) condition is suggested. Then, we focus on developing an iterative algorithm in order to efficiently solve the BMI condition. The algorithm is based on the iterative projection of the Lyapunov matrix onto a matrix polytope. Examples are given to illustrate the proposed design method.
引用
收藏
页码：4260 / 4265
页数：6
相关论文
共 50 条
  • [21] Stabilization for a Class of Discrete-Time Switched -Systems
    Sun, Haibiao
    Li, Jiao
    Zhao, Jun
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (02) : 834 - 844
  • [22] Stability and stabilization in switched discrete-time systems
    Zhang, Hui
    Shi, Yang
    Mehr, Aryan Saadat
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2012, 26 (11) : 991 - 1012
  • [23] Stabilization of Discrete-Time Positive Switched Systems
    Junfeng Zhang
    Zhengzhi Han
    Jun Huang
    Circuits, Systems, and Signal Processing, 2013, 32 : 1129 - 1145
  • [24] Stabilization of Discrete-Time Positive Switched Systems
    Zhang, Junfeng
    Han, Zhengzhi
    Huang, Jun
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (03) : 1129 - 1145
  • [25] Stability and stabilization of discrete-time periodic linear systems with actuator saturation
    Zhou, Bin
    Zheng, Wei Xing
    Duan, Guang-Ren
    AUTOMATICA, 2011, 47 (08) : 1813 - 1820
  • [26] On the stabilization of linear discrete-time systems
    Ferreira, C
    Silva, FC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 7 - 18
  • [27] Switched output feedback stabilization of discrete-time switched systems
    Bara, G. Iulia
    Boutayeb, Mohamed
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 2667 - 2672
  • [28] Dwell time stability and stabilization of interval discrete-time switched positive linear systems
    Li, Yang
    Zhang, Hongbin
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 33 : 116 - 129
  • [29] On Stabilization of Discrete-Time Periodic TS Systems
    Lendek, Zsofia
    Lauber, Jimmy
    Guerra, Thierry Marie
    Raica, Paula
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [30] Language constrained stabilization of discrete-time switched linear systems: an LMI approach
    Jungers, Marc
    Girard, Antoine
    Fiacchini, Mirko
    IFAC PAPERSONLINE, 2018, 51 (16): : 25 - 30
12345