Remarks on input-to-state stability of collocated systems with saturated feedback

被引:0
|
作者
Birgit Jacob
Felix L. Schwenninger
Lukas A. Vorberg
机构
[1] University of Wuppertal,School of Mathematics and Natural Sciences
[2] University of Twente,Department of Applied Mathematics
[3] Universityof Hamburg,Department of Mathematics
关键词
Input-to-state stability; Saturation; Collocated system; Semilinear system; Infinite-dimensional system;
D O I
暂无
中图分类号
学科分类号
摘要
We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an additional assumption on the linear system, we show ISS for the saturated one. We discuss the sharpness of the conditions in light of existing results in the literature.
引用
收藏
页码:293 / 307
页数:14
相关论文
共 50 条
  • [1] Remarks on input-to-state stability of collocated systems with saturated feedback
    Jacob, Birgit
    Schwenninger, Felix L.
    Vorberg, Lukas A.
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2020, 32 (03) : 293 - 307
  • [2] Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback
    Birgit Jacob
    Felix L. Schwenninger
    Lukas A. Vorberg
    [J]. Mathematics of Control, Signals, and Systems, 2021, 33 : 195 - 195
  • [3] Remarks on input-to-state stability of collocated systems with saturated feedback (vol 32, pg 293, 2020)
    Jacob, Birgit
    Schwenninger, Felix L.
    Vorberg, Lukas A.
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2021, 33 (01) : 195 - 195
  • [4] INPUT-TO-STATE STABILITY FOR BILINEAR FEEDBACK SYSTEMS
    Hosfeld, Rene
    Jacob, Birgit
    Schwenninger, Felix l.
    Tucsnak, Marius
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2024, 62 (03) : 1369 - 1389
  • [5] REMARKS ON STABILIZATION AND INPUT-TO-STATE STABILITY
    SONTAG, ED
    [J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 1376 - 1378
  • [6] Input-To-State Practical Stability for Switched Systems with Delayed Feedback
    Li, Wen
    Cui, Baotong
    Lou, Ke
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2014, 39 (03) : 1995 - 2000
  • [7] Input-To-State Practical Stability for Switched Systems with Delayed Feedback
    Wen Li
    Baotong Cui
    Ke Lou
    [J]. Arabian Journal for Science and Engineering, 2014, 39 : 1995 - 2000
  • [8] Determining input-to-state and incremental input-to-state stability of nonpolynomial systems
    Vosswinkel, Rick
    Roebenack, Klaus
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (12) : 4676 - 4689
  • [9] Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays
    Chen, Wu-Hua
    Zheng, Wei Xing
    [J]. AUTOMATICA, 2009, 45 (06) : 1481 - 1488
  • [10] A necessary and sufficient condition for input-to-state stability of quantised feedback systems
    Wang, J.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (09) : 1846 - 1860