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      KCI등재 SCIE SCOPUS

      Finite Difference Based Iterative Learning Control with Initial State Learning for Fractional Order Linear Systems

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      https://www.riss.kr/link?id=A108006513

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      다국어 초록 (Multilingual Abstract)

      This paper presents a PI-type iterative learning control (ILC) law with initial state learning for a class of α (0 < α ≤ 1) fractional order linear systems. First, by using backward difference method, the finite difference approximation of the ...

      This paper presents a PI-type iterative learning control (ILC) law with initial state learning for a class of α (0 < α ≤ 1) fractional order linear systems. First, by using backward difference method, the finite difference approximation of the fractional order derivative is obtained, which leads to globally 2−α order accuracy. Then, a PIILC law is constructed at the nodes and the convergence analysis of the iterative scheme is proved. A new sufficient condition is derived to guarantee that the tracking error is asymptotical convergent. The obtained convergence condition is fractional order dependent and is less conservative than the existing one. Most of the classical ILC conditions for fractional order linear systems fall into the special case of this paper. Finally, the simulation results show the effectiveness of the proposed control method.

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      참고문헌 (Reference)

      1 S. Ninghu, "The distributed-order fractional diffusion-wave equation of groundwater flow:Theory and application to pumping and slug tests" 529 : 1262-1273, 2015

      2 F. Liu, "Stability and convergence of the difference methods for the space time fractional advection diffusion equation" 191 : 12-20, 2007

      3 K. Zhang, "Robustness of iterative learning control for a class of fractional-order linear continuoustime switched systems in the sense of Lp norm" 30 : 783-791, 2019

      4 M. P. Lazarević, "PDa -type iterative learning control for fractional LTI system" 22-26, 2004

      5 Panpan Gu ; Senping Tian, "P-type Iterative Learning Control with Initial State Learning for Onesided Lipschitz Nonlinear Systems" 제어·로봇·시스템학회 17 (17): 2203-2210, 2019

      6 M. M. G. Ardakani, "On the convergence of iterative learning control" 78 : 266-273, 2017

      7 Y. Q. Chen, "On Da -type iterative learning control" 4451-4456, 2001

      8 J. Zhang, "Numerical analysis for Navier-Stokes equations with time fractional derivatives" 336 : 481-489, 2018

      9 J. X. Xu, "Linear and Nonlinear Iterative Learning Control" Springer-Verlag 2003

      10 D. Luo, "Learning formation control for fractional-order multiagent systems" 41 : 5003-5014, 2018

      1 S. Ninghu, "The distributed-order fractional diffusion-wave equation of groundwater flow:Theory and application to pumping and slug tests" 529 : 1262-1273, 2015

      2 F. Liu, "Stability and convergence of the difference methods for the space time fractional advection diffusion equation" 191 : 12-20, 2007

      3 K. Zhang, "Robustness of iterative learning control for a class of fractional-order linear continuoustime switched systems in the sense of Lp norm" 30 : 783-791, 2019

      4 M. P. Lazarević, "PDa -type iterative learning control for fractional LTI system" 22-26, 2004

      5 Panpan Gu ; Senping Tian, "P-type Iterative Learning Control with Initial State Learning for Onesided Lipschitz Nonlinear Systems" 제어·로봇·시스템학회 17 (17): 2203-2210, 2019

      6 M. M. G. Ardakani, "On the convergence of iterative learning control" 78 : 266-273, 2017

      7 Y. Q. Chen, "On Da -type iterative learning control" 4451-4456, 2001

      8 J. Zhang, "Numerical analysis for Navier-Stokes equations with time fractional derivatives" 336 : 481-489, 2018

      9 J. X. Xu, "Linear and Nonlinear Iterative Learning Control" Springer-Verlag 2003

      10 D. Luo, "Learning formation control for fractional-order multiagent systems" 41 : 5003-5014, 2018

      11 D. Luo, "Learning formation control for fractional-order multiagent systems" 356 : 6328-6351, 2019

      12 Y. H. Lan, "Iterative learning control with initial state learning for fractional order nonlinear systems" 647 : 3210-3216, 2012

      13 D. Luo, "Iterative learning control for locally lipschitz nonlinear fractional-order multi-agent systems" 357 : 6671-6693, 2020

      14 Q. Liu, "Iterative learning control for a class of singular impulsive systems" 7 : 1383-1390, 2018

      15 J. Chani-Cahuana, "Iterative learning control for RF power amplifier linearization" 64 : 2778-2789, 2017

      16 Y. H. Lan, "Iterative learning based consensus control for distributed parameter multi-agent systems with time-delay" 357 : 77-85, 2019

      17 H. S. Ahn, "Iterative Learning Control: Robustness and Monotonic Convergence for Interval Systems" Springer-Verlag 2007

      18 Yong-Hong Lan ; Jun-Jun Xia ; Ya-Ping Xia ; Peng Li, "Iterative Learning Consensus Control for Multi-agent Systems with Fractional Order Distributed Parameter Models" 제어·로봇·시스템학회 17 (17): 2839-2849, 2019

      19 Y. Zhao, "Fractionalorder iterative learning control with initial state learning design" 90 : 1257-1268, 2017

      20 Y. Li, "Fractional-order iterative learning control for fractional-order linear systems" 13 : 54-63, 2011

      21 Y. Li, "Fractional order nonlinear systems with delay in iterative learning control" 257 : 546-552, 2015

      22 P. Roy, "Fractional order PI-PD control of liquid level in coupled two tank system and its experimental validation" 19 (19): 1699-1709, 2017

      23 I. Podlubny, "Fractional Differential Equations" Academie Press 1999

      24 Y. M. Lin, "Finite difference/spectral approximations for the time-fractional diffusion equation" 225 : 1533-1552, 2007

      25 Y. Zhao, "Design and analysis of fractional order PDa -type iterative learning control" 50 : 8077-8083, 2017

      26 R. Chi, "Datadriven optimal terminal iterative learning control with initial value dynamic compensation" 10 : 1357-1364, 2016

      27 D. Y. Meng, "Data-driven consensus control for networked agents: An iterative learning control-motivated approach" 9 : 2084-2096, 2015

      28 Y. H. Lan, "Da -type iterative learning control for fractional-order linear time-delay systems" 15 : 669-677, 2013

      29 X. Dai, "Consensus control via iterative learning for distributed parameter models multi-agent systems with time-delay" 356 : 5240-5259, 2019

      30 R. Hilfer, "Application of Fractional Calculus in Physics" World Science Publishing 2000

      31 S. D. Liu, "Analysis of iterative learning control for a class of fractional differential equations" 53 : 1-15, 2015

      32 K. H. Park, "A study on iterative learning control with adjustment of learning interval for monotone convergence in the sense of sup-norm" 4 : 111-118, 2002

      33 S. Liu, "A study on iterative learning control for impulsive differential equations" 24 : 4-10, 2015

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2023 평가예정 해외DB학술지평가 신청대상 (해외등재 학술지 평가)
      2020-01-01 평가 등재학술지 유지 (해외등재 학술지 평가) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2009-12-29 학회명변경 한글명 : 제어ㆍ로봇ㆍ시스템학회 -> 제어·로봇·시스템학회 KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2007-10-29 학회명변경 한글명 : 제어ㆍ자동화ㆍ시스템공학회 -> 제어ㆍ로봇ㆍ시스템학회
      영문명 : The Institute Of Control, Automation, And Systems Engineers, Korea -> Institute of Control, Robotics and Systems      		 KCI등재
      2005-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      2004-01-01 평가 등재후보 1차 PASS (등재후보1차) KCI등재후보
      2002-07-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 1.35 0.6 1.07
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.88 0.73 0.388 0.04
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