Robust LQR via bounded data uncertainties

被引：0
|
作者：
Ramos, C. [1 ]
Martínez, M. [1 ]
Sanchis, J. [1 ]
Salcedo, J.V. [1 ]
机构：
[1] Departamento de Ingeniería de Sistemas y Automática, Universidad Politécnica de Valencia, 46022 - Valencia, Camino de Vera s/n
来源：
RIAI - Revista Iberoamericana de Automatica e Informatica Industrial | 2007年 / 4卷 / 03期
关键词：
LQR; Min-Max; Multidimensional systems; Regularization; Riccati matricial equation; Robustness; TPBVP; Uncertainty;
D O I：
10.1016/s1697-7912(07)70225-x
中图分类号：
学科分类号：
摘要：
This work presents the BDU technique (Bounded Data Uncertainties) and the tuning of the linear quadratic regulator (LQR) via this technique, improving the system robustness. The BDU method is stated as a Min-Max problem where the best solution is sought in the worst scenario. So a new LQR tuning method is offered by taking into account the bounds on the uncertainty. The application to multidimensional systems is not trivial since a two-point boundary value problem (TPBVP) appears, which is solved iteratively. Copyright © 2007 CEA-IFAC.
引用
收藏
页码：61 / 72+145
相关论文
共 50 条
  • [31] Robust Multiobjective Reinforcement Learning Considering Environmental Uncertainties
    He, Xiangkun
    Hao, Jianye
    Chen, Xu
    Wang, Jun
    Ji, Xuewu
    Lv, Chen
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2025, 36 (04) : 6368 - 6382
  • [32] An Evolutionary Computing Approach to Robust Design in the Presence of Uncertainties
    Chan, Ricky R.
    Sudhoff, Scott D.
    IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2010, 14 (06) : 900 - 912
  • [33] Robust stability with system uncertainties
    Whalley, R
    Ebrahimi, M
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2002, 216 (05) : 495 - 508
  • [34] Process optimization of microbial fermentation with parameter uncertainties via distributionally robust discrete control
    Wang, Juan
    Chen, Chihua
    Zhao, Feiyan
    Wang, Jichao
    Li, An
    JOURNAL OF PROCESS CONTROL, 2023, 132
  • [35] Data-driven robust optimization for the itinerary planning via large-scale GPS data
    Wu, Lei
    Hifi, Mhand
    KNOWLEDGE-BASED SYSTEMS, 2021, 231
  • [36] A tuning of PID regulators via LQR approach
    Suh, BS
    Yang, JH
    JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, 2005, 38 (05) : 344 - 356
  • [37] Robust Modal Test Design Under Epistemic Model Uncertainties
    Maugan, Fabien
    Cogan, Scott
    Foltete, Emmanuel
    Hot, Aurelien
    MODEL VALIDATION AND UNCERTAINTY QUANTIFICATION, VOL 3, 2015, : 207 - 214
  • [38] A robust optimisation approach accounting for the effect of fractionation on setup uncertainties
    Lowe, Matthew
    Aitkenhead, Adam
    Albertini, Francesca
    Lomax, Antony J.
    MacKay, Ranald I.
    PHYSICS IN MEDICINE AND BIOLOGY, 2017, 62 (20) : 8178 - 8196
  • [39] Fractional order LQR for optimal robust control of a simple structure
    Shafieezadeh, Abdollah
    Ryan, Kerl
    Chen, YangQuan
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE 2007, VOL 5, PTS A-C,, 2008, : 1235 - 1243
  • [40] Robust Control for Switched Systems With Unmatched Uncertainties Based on Switched Robust Integral Sliding Mode
    Zhang, Xiaoyu
    Xiao, Lingfei
    Li, Haifen
    IEEE ACCESS, 2020, 8 : 138396 - 138405
12345