| 引用本文: | 王冠正,赵峰,陈向勇,邱建龙.一类随机非线性系统的有限时间H∞控制[J].控制理论与应用,2023,40(2):291~296.[点击复制] |
| WANG Guan-zheng,ZHAO Feng,CHEN Xiang-yong,QIU Jian-long.Finite-time H∞ control of a class of stochastic nonlinear systems[J].Control Theory and Technology,2023,40(2):291~296.[点击复制] |
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| 一类随机非线性系统的有限时间H∞控制 |
| Finite-time H∞ control of a class of stochastic nonlinear systems |
| 摘要点击 1287 全文点击 493 投稿时间：2021-09-13 修订日期：2022-11-21 |
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| DOI编号 10.7641/CTA.2022.10866 |
| 2023,40(2):291-296 |
| 中文关键词 随机非线性系统 有限时间控制 H∞控制 状态反馈 |
| 英文关键词 stochastic nonlinear systems finite-time control H∞ control state feedback |
| 基金项目 国家自然科学基金项目(12026235, 12026234, 61877033, 61903170, 61833005, 11805091, 62173175), 山东省自然科学基金项目(ZR2019BF045, ZR2019MF021, ZR2019QF004)资助. |
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| 中文摘要 |
| 本文研究一类随机非线性系统的有限时间H∞控制问题. 考虑闭环系统在有限时间间隔内的瞬态性能和抗
干扰能力, 对伊藤型随机非线性系统进行了研究. 利用Lyapunov函数和线性矩阵不等式(LMI)得到了系统满足均方
有限时间有界的充分条件, 进一步设计了有限时间H∞控制器, 并给出了系统满足均方有限时间有界和相应H∞性
能的充分条件. 最后给出了两个例子验证了该方法的有效性和可行性. |
| 英文摘要 |
| This paper studies the finite-time H∞ control problem for a class of stochastic nonlinear systems. Considering
the transient performance and anti-interference ability of the closed-loop system within a finite time interval, the Ito-type ?
stochastic nonlinear systems are studied. By constructing the Lyapunov function and linear matrix inequality (LMI), sufficient conditions for the system to satisfy the mean-square finite-time bounded are obtained. The finite-time H∞ controller
is further designed, and sufficient conditions for the system to satisfy both the mean-square finite-time bounded and the corresponding H∞ control performance are given. Finally, two examples are given to verify the feasibility and effectiveness of
the method. |
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