Control of The Final State of Fuzzy Dynamical Systems

被引：0
|
作者：
Sotnikov, A. N. [1 ]
Dzyuba, S. M. [2 ]
Egereva, I. A. [2 ]
Palyukh, B. V. [2 ]
Emelyanova, I. I. [2 ]
机构：
[1] Russian Acad Sci, Joint Supercomp Ctr, Moscow 119334, Russia
[2] Tver State Tech Univ, Tver 170026, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
fuzzy dynamical systems; Bellman equation; suboptimal autonomous control law;
D O I：
10.1134/S1995080219050202
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper considers the problem of controlling the final state of dynamic systems characterized by classical fuzzy relations. The solution of the problem is reduced to solving a functional equation of the Bellman equation type. On the basis of modern methods of the general theory of dynamical systems, the asymptotic properties of the solutions of the obtained functional equation are studied. The problem of the existence and construction of a suboptimal autonomous control law with feedback is studied.
引用
收藏
页码：599 / 605
页数：7
相关论文
共 50 条
  • [41] Tracking control of chaotic dynamical systems based on the state observer
    Ma Guo-jin
    Qi Dong-lian
    Qiu Jun
    PROCEEDINGS OF 2006 CHINESE CONTROL AND DECISION CONFERENCE, 2006, : 75 - 78
  • [42] Robust vibration control of dynamical systems based on the derivative of the state
    E. Reithmeier
    G. Leitmann
    Archive of Applied Mechanics, 2003, 72 : 856 - 864
  • [43] Optimal piecewise state feedback control for nonlinear dynamical systems
    Li, Rui
    Teo, Kok Lay
    Duan, Guangren
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1118 - +
  • [44] Robust vibration control of dynamical systems based on the derivative of the state
    Reithmeier, E
    Leitmann, G
    ARCHIVE OF APPLIED MECHANICS, 2003, 72 (11-12) : 856 - 864
  • [45] An Eclectic Approach to the State Feedback Control of Nonlinear Dynamical Systems
    Zak, S. H.
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1989, 111 (04): : 631 - 640
  • [46] Design of optimally bounded linear state feedback laws for fuzzy dynamical systems
    Diamond, P
    10TH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3: MEETING THE GRAND CHALLENGE: MACHINES THAT SERVE PEOPLE, 2001, : 147 - 150
  • [47] Comments on "Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems"
    Tong, SC
    Li, HX
    Wei, W
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (05) : 703 - 705
  • [48] A desiorn for a class of fuzzy control systems with state observer
    Han, HG
    2004 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, PROCEEDINGS, 2004, : 1479 - 1484
  • [49] Robust fuzzy control of nonlinear systems with state observer
    Han, H
    Murakami, S
    2003 IEEE INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE IN ROBOTICS AND AUTOMATION, VOLS I-III, PROCEEDINGS, 2003, : 1399 - 1404
  • [50] A study on the fuzzy dynamical systems by using of dynamical relations
    Gorouhi, Adel
    Ebrahimi, Mohamad
    Mohammadi, Uosef
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (47): : 486 - 494
12345