Application of Fractional-Order Controller

被引:0
|
作者
Gertner, Magdalena [1 ]
机构
[1] Bialystok Tech Univ, Fac Mech Engn, Wiejska 45C, PL-15351 Bialystok, Poland
关键词
Fractional-order controller; Inverted pendulum; ORA FOPID; FOPID;
D O I
10.1007/978-3-319-78458-8_17
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article will show new approach to control the system with inverted pendulum with fractional-order (PID mu)-D-lambda controller. It is new method used in simply mechanics system. The transfer function of the classical PID controller and (PID mu)-D-lambda controller will be presented. The transfer function of the (PID mu)-D-lambda controller will be approximated with two methods: Taylor polynomial, Oustaloup recursive approximation. Model of inverted pendulum is well known. The settings times and overshoot of the systems with classical PID controller will be compare with system with fractional-order (PID mu)-D-lambda controller.
引用
收藏
页码:195 / 203
页数:9
相关论文
共 50 条
  • [1] An Adaptive Fractional-Order Controller
    Petras, Ivo
    [J]. PROCEEDINGS OF THE 2013 14TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2013, : 297 - 301
  • [2] Application of Fractional-order PIλ controller for PMSM Speed Control
    Xue Wei
    Lu Yali
    [J]. MECHANICAL, ELECTRONIC AND ENGINEERING TECHNOLOGIES (ICMEET 2014), 2014, 538 : 421 - +
  • [3] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
    Fayazi, Ali
    [J]. EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
  • [4] Design of a fractional-order fuzzy PI controller for fractional-order chaotic systems
    Han, Wei
    Gao, Bingkun
    Guo, Haoxuan
    [J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 4825 - 4830
  • [5] Fractional Order Robust Controller for Fractional-Order Interval Plants
    Mihaly, Vlad
    Susca, Mircea
    Dulf, Eva H.
    Morar, Dora
    Dobra, Petru
    [J]. IFAC PAPERSONLINE, 2022, 55 (25): : 151 - 156
  • [6] Control fractional-order continuous chaotic system via a simple fractional-order controller
    Zhang, Dong
    Yang, Shou-liang
    [J]. INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 770 - 773
  • [7] Design of Fractional-Order Lag Network and Fractional-Order PI Controller for a Robotic Manipulator
    Mandic, Petar D.
    Lino, Paolo
    Maione, Guido
    Lazarevic, Mihailo P.
    Sekara, Tomislav B.
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 3669 - 3674
  • [8] Synchronization of fractional-order chaotic systems based on the fractional-order sliding mode controller
    Yan Xiaomei
    Shang Ting
    Zhao Xiaoguo
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 429 - 434
  • [9] The effect of the fractional-order controller's orders variation on the fractional-order control systems
    Zeng, QS
    Cao, GY
    Zhu, XJ
    [J]. 2002 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-4, PROCEEDINGS, 2002, : 367 - 372
  • [10] Optimal fractional-order PID controller based on fractional-order actor-critic algorithm
    Shalaby, Raafat
    El-Hossainy, Mohammad
    Abo-Zalam, Belal
    Mahmoud, Tarek A.
    [J]. NEURAL COMPUTING & APPLICATIONS, 2023, 35 (03): : 2347 - 2380