Gain perturbation tolerance inH∞feedback control
作者:
MASAYUKI FUJITA,
KENKO UCHIDA,
FUMIO MATSUMURA,
期刊:
International Journal of Control
(Taylor Available online 1990)
卷期:
Volume 51,
issue 2
页码: 315-328
ISSN:0020-7179
年代: 1990
DOI:10.1080/00207179008934067
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The gain perturbation tolerance property ofH∞-optimal state feedback (HISF) systems is considered. The following two problems are discussed: (1) for what gain perturbations would the perturbed closed-loop system remain stable? (2) for what gain perturbations would the perturbed closed-loop transfer function satisfy the specifiedH∞norm performance? In each case we establish general sufficient conditions in the frequency domain. In particular, under a certain orthogonality condition, the HISF systems are shown to possess an infinite gain increase tolerance for stability. The result obtained also provides insight into the gain reduction tolerance problem. Furthermore, we show that, under certain conditions, the specifiedH∞-norm performance of the HISF systems is preserved even with an infinite gain increase. Concerning closed-loop performance robustness against gain perturbations, we see remarkable differences between the case where controlled outputs include a direct transmission of controls and the case where they do not.
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