Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems

被引：0
|
作者：
Liu, Lei [1 ]
Feng, Shaofan [1 ]
机构：
[1] North China Univ Technol, Beijing Key Lab Fieldbus Technol & Automat, Beijing 100144, Peoples R China
来源：
IEEE ACCESS | 2021年 / 9卷
基金：
中国国家自然科学基金;
关键词：
Optimization; Linear matrix inequalities; Performance analysis; State feedback; Stability criteria; Mathematical model; Symmetric matrices; Singularly perturbed system; robust control; multi-objective; optimization; LQ-control;
D O I：
10.1109/ACCESS.2021.3101211
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linear quadratic performance index problem. According to the Lyapunov stability theory, the system robust stability criterion is derived, based on the above conclusion, the corresponding parameterized passive multi-objective controller is designed using state feedback, and the weight matrix and the minimum performance index are solved based on the optimal control theory. Finally, a numerical example is given to illustrate the correctness and feasibility of the control method.
引用
收藏
页码：108340 / 108345
页数：6
相关论文
共 50 条
  • [41] Modeling of Singularly Perturbed multi-criterion Optimal Control Workflows
    Salikhov, Z. G.
    IFAC PAPERSONLINE, 2015, 48 (03): : 1254 - 1258
  • [42] NEW RESULTS ON COMPOSITE CONTROL OF SINGULARLY PERTURBED UNCERTAIN LINEAR-SYSTEMS
    CORLESS, M
    GAROFALO, F
    GLIELMO, L
    AUTOMATICA, 1993, 29 (02) : 387 - 400
  • [43] H2 guaranteed cost control for singularly perturbed uncertain systems
    Garcia, G
    Daafouz, J
    Bernussou, J
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (09) : 1323 - 1329
  • [44] On Networked Fault Tolerant Control of Uncertain Singularly Perturbed Systems with a Packet Dropout
    Liu Wei
    Wang Zhiming
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 3899 - 3903
  • [45] Multi-objective Optimal Temperature Control for Organic Rankine Cycle Systems
    Zhang, Jianhua
    Ren, Mifeng
    Xiong, Jing
    Lin, Mingming
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 661 - 666
  • [46] Robust control for uncertain singularly perturbed systems using periodic output feedback
    Nair, J. M.
    Lazar, A.
    Bandyopadhyay, B.
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 4326 - 4331
  • [47] Robust control for a class of uncertain state-delayed singularly perturbed systems
    Karimi, HR
    Yazdanpanah, MJ
    ASIAN JOURNAL OF CONTROL, 2005, 7 (02) : 202 - 208
  • [48] Switching Control of Singularly Perturbed Uncertain Systems using Finite Frequency Strategy
    Xu, Jing
    Niu, Yugang
    2019 12TH ASIAN CONTROL CONFERENCE (ASCC), 2019, : 1253 - 1258
  • [49] Robust sliding mode control for a class of uncertain nonlinear singularly perturbed systems
    Zhang, XY
    Jin, HZ
    Zhang, HP
    Li, GB
    Ming, J
    SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, 2002, : 2616 - 2621
  • [50] Metaheuristics-based Multi-objective Design of Global Robust Optimal Sliding Mode Control of Discrete Uncertain Systems
    Boukadida, Wafa
    Benamor, Anouar
    Messaoud, Hassani
    Siarry, Patrick
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (06) : 1378 - 1392
12345