Identification of rational approximate models inH∞ using generalized orthonormal basis

Szabo Z.; Bokor J.; Schipp F.

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Identification of rational approximate models inH∞ using generalized orthonormal basis

机译：基于广义正交标准的H∞有理近似模型辨识

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Robust identification with FIR models fails to be successful when the number of coefficients to be estimated becomes large, caused by lightly damped modes of the plant or poles very close to the unit circle. The paper presents a two-stage algorithm to obtain a low-order approximate model in frequency domain in a generalized orthonormal basis with guaranteed H∞ error bound for deterministic linear time-invariant stable systems, the first stage being an L∞ rational approximation and the second nonlinear step being an H ∞ rational approximation

机译：当要估计的系数数量变大时，FIR模型的稳健识别将无法成功，这是由于电厂或极靠近单位圆的极点的阻尼模式导致的。本文提出了一种两阶段算法，可在确定性线性时不变稳定系统的广义正交标准下，在具有保证的H∞误差范围的情况下，在频域上获得低阶近似模型，第一阶段是L∞有理逼近，并且第二个非线性步骤是H∞有理逼近

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《IEEE Transactions on Automatic Control》 |1999年第1期|p.153-158|共6页
作者
Szabo Z.; Bokor J.; Schipp F.;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; approximation theory; frequency-domain analysis; identification; robust control; FIR models; H∞ rational approximation; L∞ rational approximation; LTI systems; deterministic linear time-invariant stable systems; gene;

机译：H∞控制逼近理论频域分析辨识鲁棒控制FIR模型H∞有理逼近L∞有理逼近LTI系统确定性线性时不变稳定系统基因;

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1. Identification of rational approximate models in H/sup /spl infin// using generalized orthonormal basis [J] . Szabo Z., Bokor J. IEEE Transactions on Automatic Control . 1999,第1期

机译：使用广义正交标准确定H / sup / spl infin //中的有理近似模型
2. System Identification Based on Generalized Orthonormal Basis Function for Unmanned Helicopters: A Reinforcement Learning Approach [J] . Liu Zun, Li Jianqiang, Wang Cheng, IEEE Transactions on Vehicular Technology . 2021,第2期

机译：基于广义直升机的广义正式基础功能的系统识别：加强学习方法
3. Wiener system identification with generalized orthonormal basis functions [J] . Tiels Koen, Schoukens Johan Automatica . 2014,第12期

机译：具有广义正交基函数的维纳系统识别
4. Identification of low-order models using rational orthonormal basis functions [C] . Mikael Manngard, Hannu T. Toivonen IEEE Annual Conference on Decision and Control . 2019

机译：使用Rational Orthonormal基本功能识别低阶模型
5. Adaptive Model Predictive Control with Generalized Orthonormal Basis Functions [D] . Morinelly Sanchez, Juan E. 2017

机译：具有广义正式基本功能的自适应模型预测控制
6. Approximate Predictive Densities and Their Applications in Generalized Linear Models [O] . Min Chen, Xinlei Wang -1

机译：广义线性模型中的近似预测密度及其应用
7. Orthonormal Basis and Radial Basis Functions in Modeling and Identification of Nonlinear Block-Oriented Systems [O] . Rafal Stanislawski, Krzysztof J. 2008

机译：非线性块系统建模与识别的正交基础和径向基础函数

Identification of rational approximate models inH∞ using generalized orthonormal basis

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