Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems

Chunjiang Qian; Haibo Du; Shihua Li

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Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems

机译：通过一类线性不可控和不可观测系统的采样数据输出反馈进行全局稳定

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This note considers the problem of global stabilization using sampled-data output feedback for a class of nonlinear systems in the p- normal form which have uncontrollable and unobservable linearizations around the origin. A new sampled-data observer, which is featured with a special feedforward propagation structure, is constructed to estimate the unmeasurable states. The output feedback control law is obtained by discretizing the continuous-time homogeneous control law. Based on the trajectory estimation of the homogeneous system, a sampling period is determined to guarantee global asymptotic stability of the closed-loop system.

机译：本说明考虑了使用采样数据输出反馈对一类呈p范式的非线性系统进行全局稳定的问题，这些非线性系统在原点周围具有不可控和不可观察的线性化。构造了一个具有特殊前馈传播结构的新型采样数据观测器，以估计不可测量的状态。通过离散化连续时间齐次控制定律可以得到输出反馈控制定律。基于齐次系统的轨迹估计，确定采样周期以确保闭环系统的全局渐近稳定性。

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来源
《Automatic Control, IEEE Transactions on》 |2016年第12期|4088-4093|共6页
作者
Chunjiang Qian; Haibo Du; Shihua Li;
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作者单位

Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX, USA;

School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China;

School of Automation, Southeast University, Nanjing, China;

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正文语种 eng
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关键词
Output feedback; Observers; Nonlinear systems; Feedforward neural networks; Trajectory; Asymptotic stability;

机译：输出反馈;观测器;非线性系统;前馈神经网络;轨迹;渐近稳定性;

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1. Semiglobal stabilization of linearly uncontrollable and unobservable nonlinear systems via sampled-data control [J] . Su Zhi-gang, Hao Yong-sheng, Zha Wenting, International Journal of Robust and Nonlinear Control . 2020,第13期

机译：通过采样数据控制半球稳定线性无法控制和不可接受的非线性系统
2. Robust Output Feedback Stabilization of Uncertain Nonlinear Systems With Uncontrollable and Unobservable Linearization [J] . Bo Yang, Wei Lin IEEE Transactions on Automatic Control . 2005,第5期

机译：具有不可控制和不可观测线性化的不确定非线性系统的鲁棒输出反馈镇定
3. Global sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems with quantized input and unknown output gain [J] . Jiang Yan, Zhai Junyong Transactions of the Institute of Measurement and Control . 2019,第16期

机译：全局采样数据输出反馈稳定，用于一类具有量化输入和未知输出增益的转换随机非线性系统
4. Output feedback stabilization of planar systems with uncontrollable/unobservable linearization [C] . Chunjiang Qian, Wei Lin . 2002

机译：具有不可控制/不可观察的线性化的平面系统的输出反馈稳定
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. Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay [O] . Xuehua Yan, Xinmin Song -1

机译：具有未知增长率和时滞的非线性系统的输出反馈全局实用跟踪
7. Global output-feedback stabilization for a class of stochastic nonlinear systems via sampled-data control [O] . Qixun Lan, Shihua Li 2017

机译：通过采样数据控制的全局输出反馈稳定为一类随机非线性系统
8. Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode. [R] . Fu, J., Abed, E. H. 1992

机译：具有不可控临界模式的非线性系统的线性反馈镇定。

Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems

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