Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with guaranteed cost bounds

Haddad W.M.; Bernstein D.S.

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Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with guaranteed cost bounds

机译：通过具有保证成本边界的最优投影方程进行稳健，降阶，非严格适当的状态估计

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A state estimation design problem involving parametric plant uncertainties is considered. An estimation error bound suggested by multiplicative white-noise modeling is utilized for guaranteeing robust estimation over a specified range of parameter uncertainties. Necessary conditions that generalize the optimal projection equations for reduced-order state estimation are used to characterize the estimator that minimizes the error bound. The design equations thus effectively serve as sufficient conditions for synthesizing robust estimators. Additional features include the presence of a static estimation gain in conjunction with the dynamic (Kalman) estimator to obtain a nonstrictly proper estimator.

机译：考虑了涉及参数工厂不确定性的状态估计设计问题。利用乘性白噪声建模建议的估计误差范围用于保证在参数不确定性的指定范围内进行可靠的估计。概括了用于降阶状态估计的最佳投影方程的必要条件用于表征使误差范围最小的估计器。因此，设计方程有效地充当了用于合成鲁棒估计器的充分条件。其他功能包括与动态（Kalman）估计器结合使用的静态估计增益，以获取非严格适当的估计器。

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《IEEE Transactions on Automatic Control》 |1988年第6期|P.591-595|共5页
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Haddad W.M.; Bernstein D.S.;
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专利

1. Robust reduced-order modeling via the optimal projection equations with Peterson-Hollot bounds [J] . Hadad W.M., Bernstein D.S. IEEE Transactions on Automatic Control . 1988,第7期

机译：通过具有Peterson-Hollot边界的最佳投影方程进行稳健的降阶建模
2. The optimal projection equations with Petersen-Hollot bounds: robust stability and performance via fixed-order dynamic compensation for systems with structured real-valued parameter uncertainty [J] . Bernstein D.S., Haddad W.M. IEEE Transactions on Automatic Control . 1988,第6期

机译：具有Petersen-Hollot边界的最佳投影方程：具有结构化实值参数不确定性的系统通过固定阶次动态补偿的鲁棒稳定性和性能
3. Design and Low-Cost Implementation of an Optimally Robust Reduced-Order Rotor Flux Observer for Induction Motor Control [J] . Alonge F., DIppolito F., Giardina G., IEEE Transactions on Industrial Electronics . 2007,第6期

机译：用于感应电动机控制的最优鲁棒降阶转子磁通观测器的设计和低成本实现
4. Robust bounds on unstructured and structured uncertain systems with optimal guaranteed cost design [C] . Xue, A.K., Xiong, . 1999

机译：具有最优保证成本设计的非结构化和结构化不确定系统的鲁棒边界
5. An investigation of the approximate optimal projection reduced-order models for elliptic partial differential equations. [D] . Hu, Mingyu. 2016

机译：椭圆型偏微分方程近似最优投影降阶模型的研究。
6. A membrane‐bound NiFe‐hydrogenase large subunit precursor whose C‐terminal extension is not essential for cofactor incorporation but guarantees optimal maturation [O] . Sven Hartmann, Stefan Frielingsdorf, Giorgio Caserta, 2020

机译：膜结合的NiFe-加氢酶大亚基前体其C端延伸对于辅因子掺入不是必不可少的但可以保证最佳成熟
7. Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with guaranteed cost bounds [O] . W.M. Haddad, D.S. Bernstein 1988

机译：通过具有保证成本限制的最佳投影方程，鲁棒，减少，非策略正确的状态估计
8. Robust, Reduced-Order, Nonstrictly Proper State Estimation via the Optimal Projection Equations with Guaranteed Cost Bounds [R] . Haddad, W. M., Bernstein, D. S. 1988

机译：具有保证成本界的最优投影方程的鲁棒，降阶，非严格正态估计

Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with guaranteed cost bounds

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