Robustification of time varying linear quadratic optimal control based on output integral sliding modes

被引:12
|
作者
Galvan-Guerra, Rosalba [1 ]
Fridman, Leonid [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Fac Ingn, Mexico City 04510, DF, Mexico
来源
IET CONTROL THEORY AND APPLICATIONS | 2015年 / 9卷 / 04期
关键词
robust control; linear quadratic control; time-varying systems; variable structure systems; observers; uncertain systems; time varying linear quadratic optimal control; robustification; hierarchical observer; uncertain linear time-varying system; output integral sliding-mode technique; computer simulations;
D O I
10.1049/iet-cta.2014.0095
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A hierarchical observer for an uncertain linear time-varying system is designed generalising the output integral sliding-mode approach. The observer is based on a step by step reconstruction of the output and its derivatives, to reconstruct the state theoretically exactly right after the initial time, eliminating completely the effects of the uncertainties/perturbations. The observed state is used in linear quadratic control with an output integral sliding-mode technique, allowing the uncertain system to behave as a nominal (uncertainties/perturbations free) one. The proposed approach is tested by computer simulations.
引用
收藏
页码:563 / 572
页数:10
相关论文
共 50 条
  • [31] Sliding modes, Δ-modulators, and generalized proportional integral control of linear systems
    Sira-Ramírez, H
    ASIAN JOURNAL OF CONTROL, 2003, 5 (04) : 467 - 475
  • [32] Continuous output integral sliding mode control for switched linear systems
    Galvan-Guerra, R.
    Fridman, L.
    Velazquez-Velazquez, J. E.
    Kamal, S.
    Bandyopadhyay, B.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 : 284 - 305
  • [33] A Blended Sliding Mode Control with Linear Quadratic Integral Control based on Reduced Order Model for a VTOL System
    Herrera, Marco
    Leica, Paulo
    Chavez, Danilo
    Camacho, Oscar
    ICINCO: PROCEEDINGS OF THE 14TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS - VOL 1, 2017, : 606 - 612
  • [34] Optimal Sliding Mode Output Tracking Control for Linear Systems with Uncertainties Based on Observers
    Pang, Hai-Ping
    Zhang, Ping
    Sun, Ning-Ning
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 2420 - 2424
  • [35] Transforming linear time-varying optimal control problems with quadratic criteria into quadratic programming ones via wavelets
    Malmir, Iman
    Sadati, Seyed Hossein
    JOURNAL OF APPLIED ANALYSIS, 2020, 26 (01) : 131 - 151
  • [36] Linear Quadratic Optimal Control Problems with Fixed Terminal States and Integral Quadratic Constraints
    Jingrui Sun
    Applied Mathematics & Optimization, 2021, 83 : 251 - 276
  • [37] Linear Quadratic Optimal Control Problems with Fixed Terminal States and Integral Quadratic Constraints
    Sun, Jingrui
    APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 83 (01): : 251 - 276
  • [38] Optimal Control of Maximum Output Deviations of a Linear Time-Varying System on a Finite Horizon
    D. V. Balandin
    R. S. Biryukov
    M. M. Kogan
    Automation and Remote Control, 2019, 80 : 1783 - 1802
  • [39] Optimal Control of Maximum Output Deviations of a Linear Time-Varying System on a Finite Horizon
    Balandin, D., V
    Biryukov, R. S.
    Kogan, M. M.
    AUTOMATION AND REMOTE CONTROL, 2019, 80 (10) : 1783 - 1802
  • [40] INTEGRAL ACTION IN OPTIMAL CONTROL OF LINEAR SYSTEMS WITH QUADRATIC PERFORMANCE INDEX
    SHIH, YP
    INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1970, 9 (01): : 35 - &