Stochastic H2/H∞ control with (x, u, v)-dependent noise

被引:0
|
作者
Zhang, Weihai [1 ]
Zhang, Huanshui [1 ]
Chen, Bor-Sen [1 ]
机构
[1] Harbin Inst Technol, Shenzhen Grad Sch, Informat & Control Res Ctr, Shenzhen 518055, Peoples R China
关键词
D O I
暂无
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, finite and infinite horizon stochastic H-2/H-infinity control problems with all state, control input and external disturbance-dependent noise are studied. It is shown that the existence condition or finite horizon stochastic H-2/H-infinity control is equivalent to the solvability of four coupled matrix-valued differential equations, and that of infinite horizon stochastic H-2/H-infinity control is equivalent to the solvability of four coupled matrix-valued algebraic equations.
引用
收藏
页码:7352 / 7357
页数:6
相关论文
共 50 条
  • [1] Stochastic H2/H∞ control with (x, u, v)-dependent noise:: Finite horizon case
    Zhang, Weihai
    Zhang, Huanshui
    Chen, Bor-Sen
    [J]. 2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 1912 - +
  • [2] Stochastic H2/H∞ control with (x, u, v)-dependent noise:: Finite horizon case
    Zhang, Weihai
    Zhang, Huanshui
    Chen, Bor-Sen
    [J]. AUTOMATICA, 2006, 42 (11) : 1891 - 1898
  • [3] Stochastic H2 / H∞ control with (x, u, v)-dependent noise: Finite horizon case
    College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao, 266510, China
    不详
    不详
    不详
    [J]. 1600, 1891-1898 (November 2006):
  • [4] Nonlinear stochastic H2/H∞ control with (x, u, v)-dependent noise:: Infinite horizon case
    Zhang, Weihai
    Feng, Gang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (05) : 1323 - 1328
  • [5] Finite-Time H2/H∞ Control for Linear Ito Stochastic Systems with (x, u, v)Dependent Noise
    Yan, Zhiguo
    Zhong, Shiyu
    Liu, Xingping
    [J]. COMPLEXITY, 2018,
  • [6] Some remarks on infinite horizon stochastic H2/H∞ control with (x, u, v) dependent noise and Markov jumps
    Sheng, Li
    Zhang, Weihai
    Gao, Ming
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (10): : 3929 - 3946
  • [7] Stochastic H2/H8 Control for Mean-Field Stochastic Differential Systems with (x, u, v)-Dependent Noise
    Wang, Meijiao
    Meng, Qingxin
    Shen, Yang
    Shi, Peng
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 197 (03) : 1024 - 1060
  • [8] Solution to Mixed H2/H∞ Control for Discrete–time Systems with (x,u,v)–dependent Noise
    Xiaoqian Li
    Wei Wang
    Juanjuan Xu
    Huanshui Zhang
    [J]. International Journal of Control, Automation and Systems, 2019, 17 : 273 - 285
  • [9] Finite horizon H2/H∞ control of time-varying stochastic systems with Markov jumps and (x,u,v)-dependent noise
    Gao, Ming
    Sheng, Li
    Zhang, Weihai
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (14): : 1354 - 1363
  • [10] Stochastic H2/H∞ control with state-dependent noise
    Chen, BS
    Zhang, WH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (01) : 45 - 57