Output tracking of probabilistic Boolean networks by output feedback control

被引：46
|
作者：
Zhu, Shiyong [1 ]
Lu, Jianquan [1 ,2 ]
Liu, Yang [3 ]
Huang, Tingwen [4 ]
Kurths, Juergen [5 ,6 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China
[3] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[4] Texas A&M Univ Qatar, Doha 23874, Qatar
[5] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany
[6] Saratov NG Chernyshevskii State Univ, Saratov, Russia
来源：
INFORMATION SCIENCES | 2019年 / 483卷
基金：
中国国家自然科学基金;
关键词：
Probabilistic Boolean control networks; Semi-tensor product; Output feedback based control invariant set; Output tracking problem; STABILIZATION CONTROL DESIGN; SET STABILIZATION; STABILITY; MODEL;
D O I：
10.1016/j.ins.2018.12.087
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we deal with the output tracking of probabilistic Boolean control networks (PBCNs) via output feedback control. Firstly, the algebraic representation of PBCNs is obtained by resorting to semi-tensor product (STP) technique. Then, a novel notion, named as output feedback based control invariant set (OFBCIS), is offered. Meanwhile, an algorithm is developed to find all OFBCISs in a given set. Consequently, some necessary and sufficient conditions are derived for the solvability of output tracking problem under output feedback control. Besides, all feasible output feedback laws are solved by another constructed algorithm. Finally, two numerical examples are exhibited to illustrate the effectiveness of the theoretic results. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：96 / 105
页数：10
相关论文
共 50 条
  • [41] Output feedback control for attitude tracking
    Caccavale, F
    Villani, L
    SYSTEMS & CONTROL LETTERS, 1999, 38 (02) : 91 - 98
  • [42] Output Tracking of Switched Boolean Networks via Self-Triggered Control
    Zhang, Qiliang
    Feng, Jun-e
    Xiao, Feng
    Wei, Bo
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2024, 11 (03): : 1621 - 1630
  • [43] Sarsa-Based Output Tracking Problem of Stochastic Boolean Control Networks
    Zhu, Heng
    Wang, Ying
    Chen, Hongwei
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 2204 - 2209
  • [44] Input/output decoupling of Boolean control networks
    Valcher, Maria Elena
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (13): : 2081 - 2088
  • [45] Output stability and stabilization of Boolean control networks
    Li Z.-Q.
    Xiao H.-M.
    Li, Zhi-Qiang (lizhiqiang@amss.ac.cn), 2017, South China University of Technology (34): : 1201 - 1207
  • [46] Output Robustness of Probabilistic Boolean Control Networks With Respect to One-Bit Perturbation
    Zhu, Shiyong
    Lu, Jianquan
    Huang, Tingwen
    Liu, Yang
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2020, 7 (04): : 1769 - 1777
  • [47] Output Tracking of Markovian Jump Boolean Control Network
    Zhao, Yuan
    Wang, Xiaoling
    Liu, Jiapeng
    Yu, Jinpeng
    2024 14TH ASIAN CONTROL CONFERENCE, ASCC 2024, 2024, : 2108 - 2113
  • [48] Output Feedback Disturbance Decoupling of Boolean Control Networks: A Logical Matrix Factorization Approach
    Ding, Xueying
    Wang, Shuling
    Li, Haitao
    2017 13TH IEEE CONFERENCE ON AUTOMATION SCIENCE AND ENGINEERING (CASE), 2017, : 181 - 186
  • [49] Output tracking control for fuzzy systems via output feedback design
    Lian, Kuang-Yow
    Liou, Jeih-Jang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (05) : 628 - 639
  • [50] Adaptive Control of Piecewise Linear Systems with Output Feedback for Output Tracking
    Sang, Qian
    Tao, Gang
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 5422 - 5427
12345