Estimation of Sampling Period for Stochastic Nonlinear Sampled-Data Systems With Emulated Controllers

Yong-Feng Gao; Xi-Ming Sun; Changyun Wen; Wei Wang

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Estimation of Sampling Period for Stochastic Nonlinear Sampled-Data Systems With Emulated Controllers

机译：带有仿真控制器的随机非线性采样数据系统的采样周期估计

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摘要

This note focuses on determining the value of the maximum allowable sampling period (MASP) that guarantees the stability of stochastic nonlinear sampled-data systems with emulated controllers. Two methods are proposed to compute MASP, one based on sufficient Lyapunov-like conditions on stabilization of stochastic nonlinear systems in mean square and the other from applying Barbalat's Lemma. Comparison studies are made and illustrated for the two methods by a numerical example.

机译：本说明着重于确定最大允许采样周期（MASP）的值，该值可保证带有仿真控制器的随机非线性采样数据系统的稳定性。提出了两种方法来计算MASP，一种是基于充分的Lyapunov类条件，用于均方上的随机非线性系统的稳定，另一种是基于Barbalat引理的。通过数值例子对两种方法进行了比较研究并加以说明。

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来源
《IEEE Transactions on Automatic Control》 |2017年第9期|4713-4718|共6页
作者
Yong-Feng Gao; Xi-Ming Sun; Changyun Wen; Wei Wang;
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作者单位

School of Control Science and Engineering, Dalian University of Technology, Dalian, P. R. China;

School of Control Science and Engineering, Dalian University of Technology, Dalian, P. R. China;

School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore;

School of Control Science and Engineering, Dalian University of Technology, Dalian, P. R. China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Sampled data systems; Stochastic processes; Control systems; Nonlinear systems; Asymptotic stability; Estimation; Emulation;

机译：采样数据系统;随机过程;控制系统;非线性系统;渐近稳定性;估计;仿真;

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1. Design of One Sampling Period Delay Stabilizing Controllers for Nonlinear Sampled-data Strict-feedback Systems [J] . Hitoshi Katayama IFAC PapersOnLine . 2017,第1期

机译：非线性采样数据严格反馈系统的一个采样周期延迟稳定控制器的设计
2. Performance Analysis of Nonlinear Sampled-Data Emulated Controllers [J] . Chen Z., Fujioka H. Automatic Control, IEEE Transactions on . 2014,第10期

机译：非线性采样数据仿真控制器的性能分析
3. Robust H_∞ and L_∞-L_∞ sampled-data fuzzy static output-feedback controllers in Takagi-Sugeno form for singularly perturbed nonlinear systems with parametric uncertainty [J] . Moon Ji Hyun, Bin Kang Hyoung, Lee Ho Jae Journal of the Franklin Institute . 2020,第13期

机译：鲁棒H_∞和L_∞-L_∞采样数据模糊静态输出 - 反馈控制器，用于TAKAGI-SUGGOO形式，具有参数不确定性的奇异扰动的非线性系统
4. Design of One Sampling Period Delay Stabilizing Controllers for Nonlinear Sampled-data Strict-feedback Systems [C] . Hitoshi Katayama IFAC World Congress . 2018

机译：一种用于非线性采样数据严格反馈系统的一个采样周期延迟稳定控制器的设计
5. Encoding of sampled-data systems: Applications to finite wordlength controller implementation and adaptive sampling of atomic force microscopy. [D] . Cheng, Hung-Ming. 2005

机译：采样数据系统的编码：应用于有限字长控制器的实现和原子力显微镜的自适应采样。
6. Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol [O] . M. J. Park, O. M. Kwon, E. J. Cha 2015

机译：时变采样数据协议下具有边沿中间性测度的非线性复杂系统的共识
7. A Design of Nonlinear Controllers for Linear Sampled-Data Systems with Bounded Control [O] . Kazunobu YOSHIDA, Yukio NISHIMURA, Yoh YONEZAWA 1986

机译：有界控制的线性采样数据系统的非线性控制器设计
8. Estimation of the parameters of sampled-data systems by stochastic approximation [R] . Neal, C. B. 1969

机译：用随机近似估计采样数据系统的参数

Estimation of Sampling Period for Stochastic Nonlinear Sampled-Data Systems With Emulated Controllers

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