Recursive Identification of Discrete Dynamical Systems with Single Input and Single Output

A.O. Zhukov

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Recursive Identification of Discrete Dynamical Systems with Single Input and Single Output

机译：单输入单输出离散动力系统的递归辨识

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摘要

The paper deals with generalization of recursive (iterative) identification method for the single input and single output discrete dynamical systems with multiple modes under bounded uncertainty conditions. Generalization is conducted on the basis of modal decomposition of the system response with multiple eigenvalues. The influence of multiplicity both on the order recovering precision and the spectrum of approximating submodel is studied. It is illustrated, that the increasing modes multiplicity complicates a desired signal and noise separation and leads to expanding of eigenvalues localizing interval and reduction of modes multiplicity determination while identifying the systems with high values of multiplicity under bounded uncertainty conditions.

机译：本文讨论了在有界不确定性条件下具有多种模式的单输入单输出离散动力系统的递归（迭代）辨识方法的推广。泛化是基于具有多个特征值的系统响应的模态分解进行的。研究了多重性对阶数恢复精度和近似子模型谱的影响。如图所示，增加的模式多重性使期望的信号和噪声分离复杂化，并导致特征值定位间隔的扩大和模式多重性确定的减少，同时在有界不确定性条件下识别具有高多重性值的系统。

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来源
《Journal of automation and information sciences》 |2009年第6期|44-57|共14页
作者
A.O. Zhukov;
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作者单位

National Technical University of Ukraine 'Kiev Polytechnic Institute', Kiev;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
discrete dynamical systems; bounded uncertainty conditions; multiple eigenvalues; approximating submodel; mode multiplicity;

机译：离散动力系统有界不确定性条件;多个特征值;近似子模型;模式多重性;

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1. Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics [J] . de la Sen M Discrete dynamics in nature and society . 2005,第3期

机译：具有离散和连续时间相互作用的单输入单输出混合系统的自适应控制
2. Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics [J] . de la Sen M Discrete dynamics in nature and society . 2005,第3期

机译：具有离散和连续时间相互作用的单输入单输出混合系统的自适应控制
3. Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics [J] . M.de la Sen Discrete dynamics in nature and society . 2005,第3期

机译：具有离散和连续时间相互作用的单输入单输出混合系统的自适应控制
4. Robust parameter identification of discrete time single input single output linear time varying systems [C] . Ghosh, B.K., Schattler, . 1990

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5. Frequency Domain System Identification of Linear Time-Invariant Single-Input Single-Output 2-Dimensional Systems and Multi-Input Multi-Output 1-Dimensional Systems by Utilizing AFD Type Algorithms [D] . Wang, Xiaoyin. 2020

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6. Circadian Output Input and Intracellular Oscillators: Insights into the Circadian Systems of Single Cells [O] . J.J. Loros, J.C. Dunlap, L.F. Larrondo, -1

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7. Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics [O] . M. de la Sen 2005

机译：单输入单输出混合动力的自适应控制系统具有交互离散和连续时间动态
8. Control Systems Design for Linear Dynamic Systems Using Simple Models: Some Case Studies. Part 1: The Single-Input/Single-Output Case [R] . Chotai, A., Owens, D. H. 1983

机译：使用简单模型的线性动态系统控制系统设计：一些案例研究。第1部分：单输入/单输出情况

Recursive Identification of Discrete Dynamical Systems with Single Input and Single Output

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