An interval type-2 fuzzy linear quadratic regulator method for an overhead crane

被引:1
|
作者
Shao, Xuejuan [1 ]
Zhao, Ruonan [1 ,2 ]
Zhang, Jinggang [1 ]
Chen, Zhimei [1 ]
Zhao, Zhicheng [1 ]
机构
[1] Taiyuan Univ Sci & Technol, Sch Elect Informat Engn, Taiyuan, Peoples R China
[2] Taiyuan Univ Sci & Technol, Sch Elect Informat Engn, Taiyuan 030024, Peoples R China
基金
美国国家科学基金会;
关键词
Overhead crane; interval type-2 T-S model; fuzzy LQR; Lyapunov method; SLIDING MODE CONTROL; SWING SUPPRESSION; SWAY CONTROL; SYSTEM; DESIGN;
D O I
10.1177/01423312221137668
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The overhead crane systems contain parameter uncertainties and external disturbances, which will affect the control performance of the systems. To overcome this problem, an interval type-2 Takagi-Sugeno (T-S) fuzzy linear quadratic regulator (LQR) approach is proposed for overhead crane system in this paper. First, an interval type-2 T-S fuzzy model is constructed based on the nonlinear dynamic model of the overhead crane system. The type-2 model can capture the system uncertainties. Second, the fuzzy LQR is designed on the basis of the fuzzy model and the asymptotic stability of the closed-loop system is analyzed using Lyapunov method. Finally, simulations and experiments are studied. The results show that the proposed method can give the overhead crane system faster trolley positioning speed, smaller load swing, and better anti-disturbance ability than the existing LQR control method.
引用
收藏
页码:1634 / 1645
页数:12
相关论文
共 50 条
  • [1] Designing and application of type-2 fuzzy PID control for overhead crane systems
    Zhe Sun
    Yawen Ling
    Xin Tan
    Yang Zhou
    Zhixin Sun
    [J]. International Journal of Intelligent Robotics and Applications, 2021, 5 : 10 - 22
  • [2] A Solving Method for Fuzzy Linear Programming Problem with Interval Type-2 Fuzzy Numbers
    Javanmard, Moslem
    Nehi, Hassan Mishmast
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2019, 21 (03) : 882 - 891
  • [3] Designing and application of type-2 fuzzy PID control for overhead crane systems
    Sun, Zhe
    Ling, Yawen
    Tan, Xin
    Zhou, Yang
    Sun, Zhixin
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT ROBOTICS AND APPLICATIONS, 2021, 5 (01) : 10 - 22
  • [4] A Solving Method for Fuzzy Linear Programming Problem with Interval Type-2 Fuzzy Numbers
    Moslem Javanmard
    Hassan Mishmast Nehi
    [J]. International Journal of Fuzzy Systems, 2019, 21 : 882 - 891
  • [5] An Interval Type-2 Fuzzy Regulator for Magnetic Levitation System
    Farooq, Umar
    Gu, Jason
    El-Hawary, Mohamed E.
    Abbas, Ghulam
    Asad, Muhammad Usman
    [J]. 2015 IEEE 28TH CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING (CCECE), 2015, : 424 - 431
  • [6] Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
    Sharan, S.
    Sharma, B. K.
    Jacob, Kavikumar
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) : 1505 - 1526
  • [7] Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar
    S. Sharan
    B. K. Sharma
    Kavikumar Jacob
    [J]. Journal of Applied Mathematics and Computing, 2022, 68 : 1505 - 1526
  • [8] A method to solve linear programming problem with interval type-2 fuzzy parameters
    Pradip Kundu
    Saibal Majumder
    Samarjit Kar
    Manoranjan Maiti
    [J]. Fuzzy Optimization and Decision Making, 2019, 18 : 103 - 130
  • [9] A method to solve linear programming problem with interval type-2 fuzzy parameters
    Kundu, Pradip
    Majumder, Saibal
    Kar, Samarjit
    Maiti, Manoranjan
    [J]. FUZZY OPTIMIZATION AND DECISION MAKING, 2019, 18 (01) : 103 - 130
  • [10] A Fuzzy Linear Regression Model with Interval Type-2 Fuzzy Coefficients
    Poleshchuk, O. M.
    Komarov, E. G.
    Darwish, Ashraf
    [J]. PROCEEDINGS OF THE XIX IEEE INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND MEASUREMENTS (SCM 2016), 2016, : 388 - 391