Script capital H2 and Script capital H∞ analysis and state feedback control design for discrete-time constrained switched linear systems

被引:2
作者
Falchetto, Vinicius B. [1 ]
Souza, Matheus [2 ]
Fioravanti, Andre R. [1 ]
Shorten, Robert N. [3 ]
机构
[1] Univ Estadual Campinas, Sch Mech Engn, Campinas, Brazil
[2] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, Brazil
[3] Imperial Coll London, Dyson Sch Engn Design, London, England
基金
巴西圣保罗研究基金会; 爱尔兰科学基金会;
关键词
LMI; switched systems; linear systems; convex optimisation; LYAPUNOV FUNCTIONS; STABILITY; STABILIZABILITY;
D O I
10.1080/00207179.2020.1737331
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents the stability and performance conditions for discrete-time constrained switched linear systems under arbitrary switching. Design methods for such systems, which constrain the set of admissible switching sequences to attain stability and a desired performance level, are also presented. The key procedures presented in this paper are based on classic convex optimisation and graph theory results. Simulations and numerical examples are included to illustrate the main features of the developed theory.
引用
收藏
页码:2834 / 2845
页数:12
相关论文
共 29 条
  • [1] [Anonymous], 1997, OPTIMIZATION VECTOR
  • [2] To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems
    Anta, Adolfo
    Tabuada, Paulo
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (09) : 2030 - 2042
  • [3] Revisiting the Ziegler-Nichols step response method for PID control
    Åstrom, KJ
    Hågglund, T
    [J]. JOURNAL OF PROCESS CONTROL, 2004, 14 (06) : 635 - 650
  • [4] Athanasopoulos N, 2014, IEEE DECIS CONTR P, P5451, DOI 10.1109/CDC.2014.7040241
  • [5] Boyd S., 2004, CONVEX OPTIMIZATION
  • [6] Boyd Stephen, 1994, Linear matrix inequalities in control theory, V15
  • [7] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    Branicky, MS
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 475 - 482
  • [8] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach
    Daafouz, J
    Riedinger, P
    Iung, C
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) : 1883 - 1887
  • [9] Trajectory-dependent filter design for discrete-time switched linear systems
    Deaecto, G. S.
    Geromel, J. C.
    Daafouz, J.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 1 - 8
  • [10] Stabilization and control Lyapunov functions for language constrained discrete-time switched linear systems
    Fiacchini, Mirko
    Jungers, Marc
    Girard, Antoine
    [J]. AUTOMATICA, 2018, 93 : 64 - 74