Normalized H∞ controller reduction with a priorierror bounds

El-Zobaidi H.M.H.; Jaimoukha I.M.; Limebeer D.J.N.

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Normalized H∞ controller reduction with a priorierror bounds

机译：具有先验误差界限的归一化H∞控制器归约

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This paper describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H∞ problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee and an upper bound on the performance degradation when the reduced order controller is implemented. When the approximation is performed on the controller generator, guaranteed a priori stability and performance bounds are obtained in terms of the synthesis Riccati equation solutions of the normalized H∞ control problems

机译：本文针对归一化的互质因子鲁棒性问题以及归一化的H∞问题，描述了一种减少控制器的方法。结果表明，当采用降阶控制器时，任何次优控制器的互质因子表示的相对误差近似值都会导致稳定性保证和性能下降的上限。在控制器发电机上执行近似时，根据归一化H∞控制问题的综合Riccati方程解，可以获得有保证的先验稳定性和性能边界

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来源
《IEEE Transactions on Automatic Control》 |2001年第9期|p.1477-1483|共7页
作者
El-Zobaidi H.M.H.; Jaimoukha I.M.; Limebeer D.J.N.;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
H∞ control; Riccati equations; matrix algebra; reduced order systems; stability; suboptimal control; H∞ control; Riccati equation; coprime factor; error bounds; reduced order systems; robustness; stability; suboptimal control; upper bound;

机译：H∞控制;Riccati方程;矩阵代数;降阶系统;稳定性;次优控制;H∞控制;Riccati方程;协素因数;误差范围;降阶系统;鲁棒性;稳定性;次优控制;上限;

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专利

1. Model reduction with relative/multiplicative error bounds andrelations to controller reduction [J] . Guoxiang Gu IEEE Transactions on Automatic Control . 1995,第8期

机译：具有相对/乘性误差范围的模型约简以及与控制器约简的关系
2. Model reduction with relative/multiplicative error bounds and relations to controller reduction [J] . Guoxiang Gu IEEE Transactions on Automatic Control . 1995,第8期

机译：具有相对/乘性误差范围的模型约简以及与控制器约简的关系
3. Controller reduction for linear parameter-varying systems with a priori bounds [J] . Jaimoukha IM, El-Zobaidi H, Limebeer DJN, Automatica . 2005,第2期

机译：具有先验界限的线性参数变化系统的控制器约简
4. Normalized H/sub /spl infin// controller reduction with a priori bounds [C] . El-Zobaidi, H.M.H., Jaimoukha, Decision and Control, 2000. Proceedings of the 39th IEEE Conference on . 2000

机译：具有先验界限的归一化H / sub / spl infin //控制器归约
5. Controllers for systems with bounded actuators: Scheduling and anitwindup. [D] . Sajjadi Kia, Solmaz. 2009

机译：带有有限执行器的系统的控制器：计划和anitwindup。
6. Notes: Reduction of CD4+ T Cells In Vivo Does Not Affect Virus Load in Macaque Elite Controllers [O] . Philip A. Mudd, Adam J. Ericsen, Andrew A. Price, 2011

机译：注意：体内CD4 + T细胞的减少不会影响Macaque Elite控制器中的病毒负载
7. Normalized H(infinity) controller reduction with A Priori error bounds [O] . El-Zobaidi, HMH, Jaimoukha, IM, Limebeer, DJN 2001

机译：具有A先验误差界限的归一化H（无穷大）控制器归约

Normalized H∞ controller reduction with a priorierror bounds

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