Stability of A Class of RNN Controllers for First-order Uncertain Systems

被引：0
|
作者：
Wang, Mengyang [1 ,2 ]
Huang, Yi [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
2022 41ST CHINESE CONTROL CONFERENCE (CCC) | 2022年
基金：
国家重点研发计划;
关键词：
uncertain system; stability; robustness; RNN; DYNAMICAL-SYSTEMS; APPROXIMATION;
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：
This paper studies the stability of a class of first-order uncertain systems controlled by a simple recurrent neural network (RNN) controller. The convergence conditions are given. The relationship between the parameters of RNN controller and its robustness is quantitatively analyzed for the linear uncertain system. Simulation examples are provided to verify the analysis results.
引用
收藏
页码：1206 / 1211
页数：6
相关论文
共 50 条
  • [21] STABILITY OF FIRST-ORDER AND DEGREE OF STABILITY
    KRYSTEV, R
    PRIKLADNAYA MATEMATIKA I MEKHANIKA, 1973, 37 (04): : 758 - 762
  • [22] ONE CLASS OF ELLIPTIC SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS
    BLIEV, NK
    DOKLADY AKADEMII NAUK SSSR, 1975, 220 (05): : 1001 - 1003
  • [23] Tuning of PID controllers for unstable first-order plus dead time systems
    Bi, Jianyu
    Tan, Wen
    Yu, Mei
    CHEMICAL PRODUCT AND PROCESS MODELING, 2023, 18 (06): : 877 - 891
  • [24] Disturbance Observer in PID Controllers for First-Order Time-Delayed Systems
    Huba, M.
    IFAC PAPERSONLINE, 2022, 55 (17): : 19 - 24
  • [25] New Tuning Rules of PI+CI Controllers for First-Order Systems
    Moreno, Jose Carlos
    Gonzalez, Jose
    Navarro, Ana
    Guzman, Jose Luis
    ACTUATORS, 2024, 13 (02)
  • [26] Fundamental solutions of a class of first-order linear elliptic systems
    Doan Cong Dinh
    Le Hung Son
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (10) : 1407 - 1420
  • [27] LIPSCHITZIAN PROPERTIES AND STABILITY OF A CLASS OF FIRST-ORDER STOCHASTIC DOMINANCE CONSTRAINTS
    Claus, M.
    Schultz, R.
    SIAM JOURNAL ON OPTIMIZATION, 2015, 25 (01) : 396 - 415
  • [28] Effectiveness of Higher Order Controllers for Uncertain Systems
    Tada, Tomoki
    Izumiguchi, Yuya
    Sebe, Noboru
    2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 582 - 587
  • [29] Stability criteria for first-order dynamical systems in a behavioral framework
    Kaneko, O
    Fujii, T
    SYSTEMS & CONTROL LETTERS, 2000, 39 (01) : 55 - 61
  • [30] STABILITY IMPLICATIONS OF DELAY DISTRIBUTION FOR FIRST-ORDER AND SECOND-ORDER SYSTEMS
    Kiss, Gabor
    Krauskopf, Bernd
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 13 (02): : 327 - 345
12345