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Asymptotic H∞ control of singularly perturbedsystems with parametric uncertainties

机译:具有参数不确定性的奇摄动系统的渐近H∞控制

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摘要

This paper deals with the problem of control of singularly perturbed linear continuous-time systems. The authors' attention is focused on the design of a composite linear controller based on the slow and fast problems such that both stability and a prescribed H∞ performance for the full-order system are achieved. The asymptotic behavior of the composite controller is studied, which is independent of the singular perturbation ε when ε is sufficiently small. Furthermore, the problem of robust control for the above system with parameter uncertainty is also investigated
机译:本文讨论了奇摄动线性连续时间系统的控制问题。作者的注意力集中在基于慢速和快速问题的复合线性控制器的设计上,从而实现了全阶系统的稳定性和规定的H∞性能。研究了复合控制器的渐近行为,当ε足够小时,该行为与奇异摄动ε无关。此外,还研究了具有参数不确定性的上述系统的鲁棒控制问题。

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