Adaptive Output-Feedback Tracking of Stochastic Nonlinear Systems

Hai-Bo Ji; Hong-Sheng Xi

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Adaptive Output-Feedback Tracking of Stochastic Nonlinear Systems

机译：随机非线性系统的自适应输出反馈跟踪

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摘要

We address the adaptive stabilization and tracking problems for a class of output feedback canonical systems driven by Wiener noises of unknown covariance. Filtered transformation and backstepping techniques are employed in the stochastic control design. We obtain two adaptive controllers that guarantee the global stability in probability for vanishing perturbations or the input-to-state stability in probability for non-vanishing perturbations respectively. The tracking error can converge to a small residual set around the origin in the sense of mean quartic value.

机译：我们针对一类由未知协方差的维纳噪声驱动的输出反馈规范系统解决自适应稳定和跟踪问题。随机控制设计中采用了滤波变换和反推技术。我们获得了两个自适应控制器，分别保证了扰动概率的全局稳定性或不扰动概率的输入状态稳定性。在平均四次值的意义上，跟踪误差可以收敛到原点周围的一个小的残差集。

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来源
《IEEE Transactions on Automatic Control》 |2006年第2期|p.355-360|共6页
作者
Hai-Bo Ji; Hong-Sheng Xi;
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正文语种 eng
中图分类自动化系统;
关键词
Stability in probability; Stochastic adaptive stabilization; Stochastic disturbance attenuation;

机译：概率稳定性;随机自适应稳定;随机干扰衰减;

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2. Output-feedback adaptive tracking control of stochastic nonlinear systems using multidimensional Taylor network [J] . Han Yu-Qun International Journal of Adaptive Control and Signal Processing . 2018,第3期

机译：基于多维泰勒网络的随机非线性系统的输出反馈自适应跟踪控制
3. Adaptive Fuzzy Output-Feedback Tracking Control for a Class of Switched Stochastic Nonlinear Time-Delay Systems [J] . Liu Yanli, Niu Ben, Chu Fei, Circuits, systems, and signal processing . 2016,第8期

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4. Output tracking of a class of stochastic nonlinear systems via output-feedback control [C] . Wuquan Li, Hui Wang, Weifang Yan Chinese Automation Congress . 2017

机译：通过输出反馈控制对一类随机非线性系统进行输出跟踪
5. Nonlinear filtering for stochastic hybrid and nonlinear systems with applications to target tracking. [D] . West, Philip Davidson. 1994

机译：随机混合和非线性系统的非线性滤波及其在目标跟踪中的应用。
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

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7. Multi-Dimensional Taylor Network-Based Adaptive Output-Feedback Tracking Control for a Class of Nonlinear Systems [O] . Shanliang Zhu, Lei Chu, Mingxin Wang, 2020

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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

Adaptive Output-Feedback Tracking of Stochastic Nonlinear Systems

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