ISS-Lyapunov Functions for Output Feedback Sliding Modes

被引：0
|
作者：
Aparicio, Andrea [1 ]
Efimov, Denis [2 ,3 ,4 ]
Fridman, Leonid [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Fac Informat, Div Ingn Elect, Dept Ingn Control & Robot, Edificio T,Segundo Piso Ciudad Univ, Mexico City, DF, Mexico
[2] Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
[3] Ecole Cent Lille, BP 48,Cite Sci, F-59651 Villeneuve Dascq, France
[4] St Petersburg State Univ Informat Technol Mech &, Dept Control Syst & Informat, 49 Kronverkskiy Ave, St Petersburg 197101, Russia
来源：
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2016年
关键词：
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：
In this paper we revisit the problem of stabilizing a triple integrator using a control that depends on the signs of the state variables. For a more general class of linear systems it is shown that the stabilization by sign feedback is possible, depending on some properties of the system's matrix. The conditions for the stability are established by means of linear matrix inequalities. For the triple integrator, the domain of stability is evaluated. Also, the control law is augmented by a linear feedback and the stability properties for this case, checked. The results are illustrated by numerical experiments for a chain of integrators of third order.
引用
收藏
页码：7306 / 7311
页数：6
相关论文
共 50 条
  • [1] ISS-Lyapunov Functions for Output Feedback Sliding Modes
    Aparicio Martinez, Andrea
    Castanos, Fernando
    Fridman, Leonid
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 5536 - 5541
  • [2] Nonlinear Scaling of (i)ISS-Lyapunov Functions
    Kellett, Christopher M.
    Wirth, Fabian R.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (04) : 1087 - 1092
  • [3] Nonpathological ISS-Lyapunov Functions for Interconnected Differential Inclusions
    Della Rossa, Matteo
    Tanwani, Aneel
    Zaccarian, Luca
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (08) : 3774 - 3789
  • [4] Constructions of ISS-Lyapunov functions for interconnected impulsive systems
    Dashkovskiy, Sergey
    Mironchenko, Andrii
    [J]. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 6831 - 6836
  • [5] ISS-Lyapunov Functions for Discontinuous Discrete-Time Systems
    Gruene, Lars
    Kellett, Christopher M.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) : 3098 - 3103
  • [6] Construction of Time-Varying ISS-Lyapunov Functions for Impulsive Systems
    Bachmann, Patrick
    Ahmed, Saeed
    [J]. IFAC PAPERSONLINE, 2023, 56 (01): : 1 - 6
  • [7] ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
    Prieur, Christophe
    Mazenc, Frederic
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2012, 24 (1-2) : 111 - 134
  • [8] ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
    Christophe Prieur
    Frédéric Mazenc
    [J]. Mathematics of Control, Signals, and Systems, 2012, 24 : 111 - 134
  • [9] Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems
    Alexander Aleksandrov
    Denis Efimov
    Sergey Dashkovskiy
    [J]. Mathematics of Control, Signals, and Systems, 2023, 35 : 215 - 235
  • [10] Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems
    Aleksandrov, Alexander
    Efimov, Denis
    Dashkovskiy, Sergey
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2023, 35 (01) : 215 - 235
12345