Improved Independent and Uniform Multivariable Gain and Phase Margins in H∞/LTR Control

• 成果类型: Article
• 署名作者: Ferreira, Luis H. C.; Guaracy, Fernando H. D.
• 署名单位: Universidade Federal de Itajuba
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3036025
• 发表日期: 2021
• 页码: 4807-4811
• 关键词: H-infinity control; improved stability margins; LQG control; LTR procedure

摘要

In this article, we presented guaranteed independent and uniformmultivariable stabilitymargins for the H-infinity/LTR control, both in continuous and discrete time. In previous works, it was shown that the H-infinity/LTR control generalizes the linear quadratic Gaussian (LQG)/LTR setup, allowing the designer to better impose bounds on the complementary sensitivity frequency peak in the loop-shaping procedure. In this article, we extend this result by showing that H-infinity/LTR control is able to recover better robustness properties than those recovered in the LQG/LTR case. Numerical examples are presented for multivariable and monovariable cases.