Parametric H∞ loopshaping and weighted mixedsensitivity minimization

Guoxiang Gu; Jie Chen; Lee E.B.

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Parametric H∞ loopshaping and weighted mixedsensitivity minimization

机译：参数H∞环路整形和加权混合灵敏度最小化

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摘要

Generalized H∞ loopshaping is developed for a particular weighted mixed sensitivity minimization task. A free parameter is introduced to tradeoff minimizations of sensitivity and complementary sensitivity in the H∞ performance index. A quadratically convergent algorithm is derived for computing the optimal performance index, and a state-space solution is obtained for suboptimal controllers. These results are applicable to stabilization of uncertain systems where normalized coprime factors involve parametrically weighted H∞ norm-bounded perturbations. Controller reduction is also investigated for the parametric H∞ loopshaping. Robust stability condition for using the reduced-order controller is established, and an estimate for the associated H∞ performance is obtained. Similar results are derived for normalized linear quadratic Gaussian (LQG) control

机译：针对特定的加权混合灵敏度最小化任务开发了通用H∞环路整形。引入了一个自由参数，以在H∞性能指标中权衡最小化灵敏度和互补灵敏度。推导了二次收敛算法来计算最佳性能指标，并为次优控制器获得了状态空间解。这些结果适用于不确定系统的稳定化，其中标准化的互质素因子涉及参数加权的H∞范数界扰动。还研究了针对参数H∞环路整形的控制器归约方法。建立了使用降阶控制器的鲁棒稳定性条件，并获得了相关H∞性能的估计。对于归一化线性二次高斯（LQG）控件，得出类似的结果

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来源
《IEEE Transactions on Automatic Control》 |1999年第4期|p.846-852|共7页
作者
Guoxiang Gu; Jie Chen; Lee E.B.;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; control system synthesis; convergence; minimisation; performance index; robust control; sensitivity; stability criteria; state-space methods; suboptimal control; H∞ performance index; LQG control; complementary sensitivity; control;

机译：H∞控制;控制系统综合;收敛;最小化;性能指标;鲁棒控制;灵敏度;稳定性判据;状态空间方法;次优控制;H∞性能指标;LQG控制;互补灵敏度;控制;

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1. Parametric H/sub /spl infin// loopshaping and weighted mixed sensitivity minimization [J] . Guoxiang Gu, Jie Chen IEEE Transactions on Automatic Control . 1999,第4期

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Parametric H∞ loopshaping and weighted mixedsensitivity minimization

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