Nonlinear Phenomena and Robust Stability for Discrete Control Systems

被引:0
|
作者
Okuyama, Yoshifumi [1 ]
机构
[1] Humanitech Lab Co Ltd, Tokushima 7708072, Japan
来源
2012 PROCEEDINGS OF SICE ANNUAL CONFERENCE (SICE) | 2012年
关键词
Nonlinear control systems; discretization; quantization; robust stability; Aizerman conjecture;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper analyzes the nonlinear phenomena and stability of discrete-time and discrete-value (discretized/ quantized) control systems. In this study, it is assumed that the discretization is executed on the input and output sides of a continuous nonlinear element, and the sampling period is chosen such that the absolute value of the backward difference of control signal does not exceed the resolution value. Based on the premise, the robust stability for nonlinear discrete (point-to-point) control systems is examined in a frequency domain. The relationship beween the sizes of sampling-period and resolution-value is clarified in numerical examples.
引用
收藏
页码:1313 / 1318
页数:6
相关论文
共 50 条
  • [1] Robust stability and synthesis of discrete systems for nonlinear objects control
    Kuntsevich, Vsevold M.
    Journal of Automation and Information Sciences, 2007, 39 (07) : 1 - 19
  • [2] ROBUST NONLINEAR DISCRETE CONTROL-SYSTEMS
    TSYPKIN, YZ
    KERBELEV, AM
    DOKLADY AKADEMII NAUK, 1992, 327 (4-6) : 450 - 454
  • [3] Nonlinear phenomena and stability of discretized control systems
    Okuyama, Yoshifumi
    2006 SICE-ICASE INTERNATIONAL JOINT CONFERENCE, VOLS 1-13, 2006, : 3755 - 3760
  • [4] Robust Stability Condition for Inverse Control of Uncertain Nonlinear Discrete-Time Systems
    Khlaeo-Om, Pomchai
    2022 37TH INTERNATIONAL TECHNICAL CONFERENCE ON CIRCUITS/SYSTEMS, COMPUTERS AND COMMUNICATIONS (ITC-CSCC 2022), 2022, : 652 - 655
  • [5] Robust Stability, Stabilization, and H∞ Control of a Class of Nonlinear Discrete Time Stochastic Systems
    Zhang, Tianliang
    Wang, Yu-Hong
    Jiang, Xiushan
    Zhang, Weihai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [6] Nonlinear phenomena and stability analysis for discretized control systems
    Okuyama, Yoshifumi
    NINTH IASTED INTERNATIONAL CONFERENCE ON CONTROL AND APPLICATIONS, 2007, : 350 - 355
  • [7] CIRCULAR CRITERIA OF THE ROBUST STABILITY OF NONLINEAR DISCRETE-SYSTEMS
    TSYPKIN, YZ
    DOKLADY AKADEMII NAUK SSSR, 1992, 322 (04): : 656 - 661
  • [8] On robust stability of discrete-time adaptive nonlinear control
    Li, CY
    Xie, LL
    SYSTEMS & CONTROL LETTERS, 2006, 55 (06) : 452 - 458
  • [9] Robust nonlinear control of transient stability of power systems
    Behar, B
    Lamnabhi-Lagarrigue, F
    Ahmed-Ali, T
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 294 - 299
  • [10] ON ROBUST NONLINEAR STABILITY OF INTERVAL CONTROL-SYSTEMS
    CHAPELLAT, H
    DAHLEH, M
    BHATTACHARYYA, SP
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) : 59 - 67