Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback

Qiangde Wang; Chunling Wei

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Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback

机译：具有输出反馈的线性有界不可测状态的随机非线性系统的全局自适应控制。

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The problem of the output feedback stochastic stabilization is investigated for a class of stochastic nonlinear systems with linearly bounded unmeasurable states. Under the condition that the inverse dynamics is stochastic input-to-state stable and the nonlinear functions satisfy the linear growth conditions with unknown growth rate, an adaptive output feedback controller is proposed to make the closed-loop system globally stable in probability and the states of the closed-loop system converge to zero almost surely. A simulation example is provided to show the effectiveness of the theoretical results.

机译：研究了一类具有线性有界不可测状态的随机非线性系统的输出反馈随机镇定问题。在逆动力学为随机输入到状态稳定且非线性函数满足线性增长条件且增长率未知的情况下，提出了一种自适应输出反馈控制器来使闭环系统在概率和状态下全局稳定闭环系统的绝对收敛几乎为零。提供了一个仿真例子来说明理论结果的有效性。

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来源
《Mathematical Problems in Engineering》 |2012年第5期|p.11.1-11.15|共15页
作者
Qiangde Wang; Chunling Wei;
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作者单位

Institute of Automation, Qufu Normal University, Rizhao 276826, China;

Institute of Automation, Qufu Normal University, Rizhao 276826, China;

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1. Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback [J] . QiangdeWang, ChunlingWei Mathematical Problems in Engineering: Theory, Methods and Applications . 2012,第3期

机译：具有输出反馈的线性有界不可估量随机非线性系统的全局自适应控制。
2. Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states [J] . Liu SJ, Zhang JF International Journal of Robust and Nonlinear Control . 2008,第6期

机译：一类具有线性有界不可测量状态的随机非线性系统的输出反馈控制
3. Global adaptive output-feedback control of nonlinear systems. II. Nonlinear parameterization [J] . Marino R., Tomei P. IEEE Transactions on Automatic Control . 1993,第1期

机译：非线性系统的全局自适应输出反馈控制。二。非线性参数化
4. An Adaptive Sliding Mode Control Using Simple Adaptive Control for A Class of SISO Nonlinear Systems with Bounded-Input Bounded-Output and Bounded Nonlinearity [C] . Yasser, M., Trisanto, . 2006

机译：一类SISO非线性系统有界输入有界输出有界非线性的简单滑模自适应滑模控制
5. Semi-global stabilization of nonlinear systems via output feedback and sampled-data controls with applications to power systems [D] . Jia, Ruting 2012

机译：通过输出反馈和采样数据控制来实现非线性系统的半全局稳定，并将其应用于电力系统
6. Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities [O] . Xiaozheng Fan, Yan Wang, Manfeng Hu -1

机译：具有信道衰落扇区非线性以及随机出现的间隔延迟和非线性的离散时间系统的模糊...公式输出反馈控制
7. Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control [O] . Mingzhu Song, Wenwen Cheng, Quanxin Zhu, 2016

机译：随着输出反馈控制的时变延迟随机非线性系统的全局渐近稳定性
8. Adaptive Output-Feedback Control of Systems with Output Nonlinearities [R] . Kanellakopoulos, I., Kokotovic, P. V., Morse, A. S. 1990

机译：输出非线性系统的自适应输出反馈控制

Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback

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