PID controller optimization for H∞ control by linear programming

被引:0
|
作者
Saeki, M [1 ]
Aimoto, K [1 ]
机构
[1] Hiroshima Univ, Fac Engn, Div Machine Design Engn, Higashihiroshima 7398527, Japan
关键词
H(infinity-)control; PID control; numerical optimization; linear programming;
D O I
10.1002/(SICI)1099-1239(200002)10:2<83::AID-RNC464>3.0.CO;2-L
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 constraints on the PID gains, which are derived from the PI, norm performance index by discretization of the frequency, are convex or concave depending on frequencies. This problem is a non-convex problem, and a new method of approximating these constraints as adequate linear inequalities is proposed. Then, the optimal solution can be efficiently and successfully searched for by applying linear programming iteratively. This method is compared with methods based on barrier function and linear matrix inequality. Copyright (C) 2000 John Wiley & Sons, Ltd.
引用
收藏
页码:83 / 99
页数:17
相关论文
共 50 条
  • [41] A PID controller for precision control of servomechanism
    Zheng, L
    PROCEEDINGS OF THE 5TH ASIA-PACIFIC CONFERENCE ON CONTROL & MEASUREMENT, 2002, : 166 - 169
  • [42] LINEAR PROGRAMMING APPROACH TO TRAFFIC FLOW CONTROL - OPTIMIZATION ON A HORIZON
    Homolova, Jitka
    TRANSPORTATION STUDIES: SUSTAINABLE TRANSPORTATION, PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE OF HONG KONG SOCIETY FOR TRANSPORTATION STUDIES, 2006, : 697 - 705
  • [43] GA based PID controller: Design and Optimization
    Inthiyaz, Syed
    Nalli, Rajesh
    Rakesh, T.
    Subbarao, K.
    Ahammad, Sk Hasane
    Rajesh, V
    PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INVENTIVE COMPUTATION TECHNOLOGIES (ICICT 2021), 2021, : 285 - 289
  • [44] OPTIMIZATION METHOD FOR PID CONTROLLER-DESIGN
    YANG, YG
    JIA, CB
    CHEN, JP
    LU, YZ
    COMPUTERS IN INDUSTRY, 1991, 16 (01) : 81 - 85
  • [45] Optimization of fuzzy PID controller's parameters
    Kudinov, Y. I.
    Kolesnikov, V. A.
    Pashchenko, F. F.
    Pashchenko, A. F.
    Papic, L.
    XII INTERNATIONAL SYMPOSIUM INTELLIGENT SYSTEMS 2016, (INTELS 2016), 2017, 103 : 618 - 622
  • [46] Control Sequences &, Controller Programming
    Hydeman, Mark
    Taylor, Steven T.
    Eubanks, Brent
    ASHRAE JOURNAL, 2015, 57 (03) : 58 - 62
  • [47] Design and Implementation of a Flexible Microgrid Controller through Mixed Integer Linear Programming Optimization
    Makohin, Daniel G.
    Gloria, Luna L.
    Zeni, Vitor S.
    Pica, Cesare Q.
    Neto, Edmar P. A.
    Arend, Felipe G.
    Asami, Deise Yumi
    Heraldo, Eduardo
    2018 9TH IEEE INTERNATIONAL SYMPOSIUM ON POWER ELECTRONICS FOR DISTRIBUTED GENERATION SYSTEMS (PEDG), 2018,
  • [48] H∞ control for linear systems with additive controller gain variations
    Yang, GH
    Wang, JL
    Lin, C
    INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (16) : 1500 - 1506
  • [49] A tuning method for PID controller using optimization subject to constraints on derivatives of control input
    Ozawa, K
    Noda, Y
    Yamazaki, T
    Kamimura, K
    Kurosu, S
    SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, 2002, : 2267 - 2271
  • [50] DC Motor Speed Control using PID Controller Tuned by Jaya Optimization Algorithm
    Achanta, Ravi Kiran
    Pamula, Vinay Kumar
    2017 IEEE INTERNATIONAL CONFERENCE ON POWER, CONTROL, SIGNALS AND INSTRUMENTATION ENGINEERING (ICPCSI), 2017, : 983 - 987