Stability robustness of LQ optimal regulators for the performance index with cross-product terms

Stability robustness of LQ optimal regulators for the performance index with cross-product terms
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LQ 最优调节器针对具有叉积项的性能指标的稳定性鲁棒性

DOI:
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发表时间:
1994
影响因子:
6.8
通讯作者:
Jang
Jang
中科院分区:
计算机科学2区
文献类型:
--
作者:
Dohyoung Chung;T. Kang;Jang

文献摘要

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利用修正的收益差等式,给出了LQ最优调节器对交叉积项性能指标的保证稳定裕度。给出了保证稳定裕度的充分条件以及标准LQ最优调节器稳定裕度的保证条件。以直流电机系统的LQ最优控制为例,说明了如何选择加权矩阵以保证所需的稳定裕度。>
Suggested are the guaranteed stability margins of LQ optimal regulators for the performance index with cross-product terms, using modified return difference equality. Sufficient conditions to guarantee the required stability margins are presented as well as the conditions to guarantee the stability margins of standard LQ optimal regulators. An example for LQ optimal control of a DC motor system is given to demonstrate how the weighting matrices can be chosen to guarantee the required stability margins. >