Reachable set estimation and synthesis for semi-Markov jump systems

被引:9
|
作者
Ma, Xiang [1 ]
Zhang, Yueyuan [1 ]
Huang, Jun [1 ]
机构
[1] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215131, Peoples R China
基金
中国国家自然科学基金;
关键词
Semi-Markov jump systems; Reachable set estimation; Reachable set control; MEAN-SQUARE STABILITY; ROBUST-CONTROL; SWITCHED SYSTEM; LINEAR-SYSTEMS; STRATEGY; DELAY;
D O I
10.1016/j.ins.2022.07.069
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, the issues of the reachable set estimation and control for continuous-time semi-Markov jump systems are investigated. By utilizing mode-dependent ellipsoidal technique, the reachable set estimation condition is given. Furthermore, the upper and lower bounded method of dealing with transition rate is employed, which reduces the conservatism of reachable set estimation for semi-Markov jump systems. In addition, to address reachable set control problem, the slack variable is utilized for designing mode-dependent state-feedback controller. At last, the effectiveness of the obtained results can be verified by a practical example and a numerical example. (C) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码:376 / 386
页数:11
相关论文
共 50 条
  • [31] Stochastic Stability, ℒ1-gain and Control Synthesis for Positive Semi-Markov Jump Systems
    Longjiang Zhao
    Wenhai Qi
    Lihua Zhang
    Yonggui Kao
    Xianwen Gao
    International Journal of Control, Automation and Systems, 2018, 16 : 2055 - 2062
  • [32] Reliability estimation of semi-Markov systems: a case study
    Ouhbi, B
    Limnios, N
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 1997, 58 (03) : 201 - 204
  • [33] SMC for Discrete Fuzzy Semi-Markov Jump Models With Partly Known Semi-Markov Kernel
    Qi, Wenhai
    Zhang, Jichao
    Park, Ju. H. H.
    Wu, Zheng-Guang
    Yan, Huaicheng
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (08): : 5260 - 5270
  • [34] Observer design for semi-Markov jump systems with incremental quadratic constraints
    Zhang, Min
    Huang, Jun
    Zong, Guangdeng
    Zhao, Xudong
    Zhang, Yueyuan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (10): : 5599 - 5622
  • [35] Asymptotic stability analysis of nonlinear stochastic semi-Markov jump systems
    Liu, Jiamin
    Colaneri, Patrizio
    Bolzern, Paolo
    Li, Zhao-Yan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (14) : 8615 - 8630
  • [36] Stabilization of hidden semi-Markov jump systems: Emission probability approach
    Zhang, Lixian
    Cai, Bo
    Shi, Yang
    AUTOMATICA, 2019, 101 : 87 - 95
  • [37] Reachable Set Estimation of Discrete-time Markovian Jump Systems
    Feng, Zhiguang
    Zheng, Weixing
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 188 - 193
  • [38] Output Feedback Control of Piecewise Homogeneous Semi-Markov Jump Systems
    Men, Yunzhe
    Sun, Jian
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (02) : 546 - 550
  • [39] Control of Jump Linear Systems having semi-Markov sojourn times
    Schwartz, C
    Haddad, AH
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 2804 - 2805
  • [40] Stochastic stability and robust stabilization of semi-Markov jump linear systems
    Huang, Ji
    Shi, Yang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) : 2028 - 2043