具有H2增益约束的连续时变线性随机系统的有限时间有界性
Finite-time boundedness for continuous time-varying linear stochastic systems with H2 gain constraint
刘西奎 1姚辰欣 2李艳 3庄继晶2
作者信息
- 1. 山东科技大学 数学与系统科学学院,山东 青岛 266590;山东科技大学 电气信息系,山东 济南 250031
- 2. 山东科技大学 数学与系统科学学院,山东 青岛 266590
- 3. 山东科技大学 电气信息系,山东 济南 250031
- 折叠
摘要
针对一类具有能量有界外部干扰的连续时变线性随机系统,研究了在H2 增益约束下闭环系统的有限时间有界性.首先,给出系统有限时间有界和H2 增益的定义.然后,设计状态反馈控制器,使得闭环系统既满足H2 增益性能约束又满足有限时间有界.通过求解时变线性矩阵不等式,得到控制器增益函数.最后,给出两个数值算例说明所设计方法的有效性.
Abstract
In light of a class of continuous time-varying linear stochastic systems with energy-bounded external interference,this paper studied the finite-time boundedness(FTB)for closed-loop systems with H2 gain constraint.Firstly,the definitions of FTB and H2 gain were introduced.Then,a state feedback controller was designed to ensure the finite-time boundedness as well as the H2 gain constraint performance of the closed-loop system.By solving time-varying linear matrix inequalities,the controller gain function was obtained.Finally,two numerical examples were given to illustrate the effectiveness of the devised method.
关键词
H2增益/有限时间有界性/时变线性随机系统/线性矩阵不等式Key words
H2 gain/finite-time boundedness/time-varying stochastic linear systems/linear matrix inequality引用本文复制引用
基金项目
国家自然科学基金项目(61972236)
山东省自然科学基金项目(ZR2022MF233)
出版年
2024
NETL
NSTL
万方数据