Improved Results on Asymptotic Stabilization for Stochastic Nonlinear Time-Delay Systems With Application to a Chemical Reactor System
Improved Results on Asymptotic Stabilization for Stochastic Nonlinear Time-Delay Systems With Application to a Chemical Reactor System
复制标题
随机非线性时滞系统渐近稳定的改进结果及其在化学反应器系统中的应用
DOI：
10.1109/tsmc.2016.2608799
复制
发表时间：
2017-01-01
影响因子：
8.7
通讯作者：
Yan, Huaicheng
中科院分区：
文献类型：
--
作者：
Liu, Liang;Yin, Shen;Yan, Huaicheng
研究了一类随机非线性时变时滞系统在较弱的非线性函数条件下的全局渐近镇定问题。分别提出了新的参数依赖状态和输出反馈控制器。基于随机时滞系统稳定性判据，通过巧妙地引入合适的Lyapunov-Krasovskii泛函，严格证明了闭环系统按概率全局渐近稳定.作为实际应用，通过合理引入高斯白色噪声，建立了两级化学反应器系统的随机模型。所开发的方法被应用到这个实际系统的控制设计。仿真结果证明了所提出的设计方法的有效性。
The global asymptotic stabilization problem is investigated for a class of stochastic nonlinear time-varying delay systems under the weaker condition on nonlinear functions. The new parameter-dependent state and output feedback controllers are, respectively, proposed. Based on the stochastic time-delay system stability criterion, by tactfully introducing a suitable Lyapunov-Krasovskii functional, the globally asymptotically stable in probability of the closed-loop system is guaranteed by rigorous proof. As a practical application, the stochastic model of a two-stage chemical reactor system is established by reasonably introducing the Gaussian white noise. The developed approach is applied to the control design for this practical system. The simulation results demonstrate the efficiency of the proposed design approach.