一类非最小相位随机系统的离散自适应滑动模态控制

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 423-433.

一类非最小相位随机系统的离散自适应滑动模态控制

College of Science, Information and Engineering University, Zhengzhou 450001, China; College of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China; Henan Star Hi-Tech Co, Led, Zhengzhou 475001, China

收稿日期:2003-10-10 出版日期:2006-09-30 发布日期:2023-11-29
作者简介: CAI Su-fen(1979-),female,native of Linying,Henan,a lecturer of Information and Engineering University,M.S.D.,engages in control theory and application.

Discrete Sliding Mode Control of an Input-output System with Stochastic Disturbance

College of Science, Information and Engineering University, Zhengzhou 450001, China; College of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China; Henan Star Hi-Tech Co, Led, Zhengzhou 475001, China

Received:2003-10-10 Online:2006-09-30 Published:2023-11-29
About author: CAI Su-fen(1979-),female,native of Linying,Henan,a lecturer of Information and Engineering University,M.S.D.,engages in control theory and application.

摘要/Abstract

摘要： This paper presents the discrete adaptive sliding mode control of input-output non-minimum phase system in the presence of the stochastic disturbance. The non-minimum phase system can be transformed into a minimum phase system by a operator. According to the minimum phase system, the controller and the adaptive algorithm we designed ensures the stability of system and holds that the mean-square deviation from the sliding surface is minimized.

关键词: input-output system, mean-square deviation, the discrete adaptive sliding mode control

Key words: input-output system, mean-square deviation, the discrete adaptive sliding mode control

中图分类号:

TP273

蔡素芬, 张志平, 尹增刚. 一类非最小相位随机系统的离散自适应滑动模态控制[J]. 数学季刊, 2006, 21(3): 423-433.

CAI Su-fen, ZHANG Zhi-ping, YIN Zeng-gang. Discrete Sliding Mode Control of an Input-output System with Stochastic Disturbance[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 423-433.

[1]	李克典. 锥度量空间的完备性[J]. 数学季刊, 2013, 28(4): 565-572.
[2]	李伟平, 戈文旭, 王天泽. 混合幂次为2和4的整数变量非线性型的整数部分[J]. 数学季刊, 2013, 28(3): 317-322.
[3]	商宇, 汪立民. 关于4-循环半群的一些子半群-Ⅱ[J]. 数学季刊, 2013, 28(3): 390-396.
[4]	杨纪华, 刘媚. 具时滞人机系统的稳定性与分支分析[J]. 数学季刊, 2012, 27(2): 196-203.
[5]	叶绪国, 杜雪樵. 对于金融资产漂移函数估计的双域组合方法[J]. 数学季刊, 2011, 26(2): 190-195.
[6]	李守伟, 祝东进. 随机环境中马氏链的首达分布矩[J]. 数学季刊, 2011, 26(1): 51-55.
[7]	刘玉记 . 具有p-Laplacian算子的二阶微分方程Picard边值问题[J]. 数学季刊, 2011, 26(1): 77-84.
[8]	王勇, 张良云, 蔡之敏 . 模余代数的结构定理[J]. 数学季刊, 2011, 26(1): 85-92.
[9]	彭婷婷, 郭小江. 因子拟适当半群[J]. 数学季刊, 2011, 26(1): 93-99.
[10]	吴明忠. 以幂零李代数Rn为幂零根基的可解李代数[J]. 数学季刊, 2011, 26(1): 100-107.
[11]	谭成良, 吴群英, 何燕梅. ρ^-_-混合序列部分和最大值的一些不等式和强大数律的收敛速度[J]. 数学季刊, 2011, 26(1): 114-119.
[12]	王金凤, 刘洋, 李宏. 粘弹性波动方程的H¹-Galerkin混合有限元方法误差估计[J]. 数学季刊, 2011, 26(1): 131-137.
[13]	梁菊花, 任立顺, 赵志良. 一类带有三维核的多点边值问题解的存在性[J]. 数学季刊, 2011, 26(1): 138-143.
[14]	周宏宪, 张燕. 一类Z₂-等变扰动的三次哈密顿系统极限环的个数与分布[J]. 数学季刊, 2011, 26(1): 144-151.
[15]	汪忠志 . 关于任意随机序列的一个强大数定理[J]. 数学季刊, 2010, 25(4): 475-480.