Tractable stability analysis for systems containing repeated scalar slope-restricted nonlinearities

被引：9
作者：
Turner, Matthew C. [1 ]
Kerr, Murray L. [2 ]
Sofrony, Jorge [3 ]
机构：
[1] Univ Leicester, Dept Engn, Control & Instrumentat Res Grp, Leicester LE1 7RH, Leics, England
[2] Deimos Space SL, Madrid 28760, Spain
[3] Univ Nacl Colombia, Dept Mechatron, Bogota, Colombia
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 07期
关键词：
absolute stability; slope-restricted nonlinearity; sector bounds; integral quadratic constraints; anti-windup; INTEGRAL-QUADRATIC CONSTRAINTS; REPEATED MONOTONE NONLINEARITIES; ZAMES-FALB MULTIPLIERS; MIMO NONLINEARITIES; SECTOR; CRITERIA;
D O I：
10.1002/rnc.3122
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 proposes an LMI-based approach for studying the stability of feedback interconnections of a finite dimensional LTI system and a nonlinear element that consists of several identical scalar nonlinearities that have restrictions on their sector and slope. The results are based on the integral quadratic constraint stability analysis framework and other recent results that give a sharp characterisation of stability multipliers for monotone, repeated scalar nonlinearities. Several examples show the effectiveness of the proposed approach; the lack of conservatism in the results is noteworthy. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：971 / 986
页数：16
相关论文
共 36 条
  • [21] Discrete-time systems with slope restricted nonlinearities: Zames-Falb multiplier analysis using external positivity
    Turner, Matthew C.
    Drummond, Ross
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (06) : 2255 - 2273
  • [22] Systems with Slope Restricted Nonlinearities and Neural Networks Dynamics
    Danciu, Daniela
    Rasvan, Vladimir
    [J]. ADVANCES IN COMPUTATIONAL INTELLIGENCE, IWANN 2011, PT II, 2011, 6692 : 565 - 572
  • [23] Observer-based output feedback control of discrete-time Lure systems with sector-bounded slope-restricted nonlinearities
    Kim, Kwang-Ki K.
    Braatz, Richard D.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (16) : 2458 - 2472
  • [24] New results for analysis of systems with repeated nonlinearities
    D'Amato, FJ
    Rotea, MA
    Megretski, AV
    Jönsson, UT
    [J]. AUTOMATICA, 2001, 37 (05) : 739 - 747
  • [25] Analysis of MIMO Lurie systems with slope restricted nonlinearities using concepts of external positivity
    Turner, Matthew C.
    Drummond, Ross
    [J]. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 163 - 168
  • [26] Analysis of Systems With Slope Restricted Nonlinearities Using Externally Positive Zames-Falb Multipliers
    Turner, Matthew C.
    Drummond, Ross
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (04) : 1660 - 1667
  • [27] H∞ control of Lur'e systems with sector and slope restricted nonlinearities
    Park, Ju H.
    Ji, D. H.
    Won, S. C.
    Lee, S. M.
    Choi, S. J.
    [J]. PHYSICS LETTERS A, 2009, 373 (41) : 3734 - 3740
  • [28] An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities
    Suykens, JAK
    Vandewalle, J
    De Moor, B
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (09): : 1007 - 1009
  • [29] Synchronization of Nonlinear Master-Slave Systems under Input Delay and Slope-Restricted Input Nonlinearity
    Riaz, Muhammad
    Rehan, Muhammad
    Ashraf, Muhammad
    [J]. COMPLEXITY, 2016, 21 (S1) : 220 - 233
  • [30] Strongly absolute stability of Lur'e-type discrete-time descriptor systems with sector and slope restricted nonlinearities
    Yin, Fei
    Yang, Chunyu
    Zhai, Ding
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2704 - +
1234