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H无穷控制

H无穷(H∞)控制是一种鲁棒控制方法,它将从扰动到被控输出的最坏情况增益最小化,并将其表述为一个极大极小(minimax)优化问题。H∞控制由Zames在20世纪80年代初开创,它提供了一种原则性的方法来设计反馈控制器,该控制器能够容忍模型不确定性、未建模动力学和扰动,同时保持稳定性和性能,这使其成为需要保证鲁棒性的应用的关键技术。

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来源

  1. Zames, G. (1981). Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses. IEEE Transactions on Automatic Control, 26(2), 301-320. DOI: 10.1109/TAC.1981.1102603
  2. Francis, B. A. (1987). A Course in H∞ Control Theory. Lecture Notes in Control and Information Sciences, Springer-Verlag. DOI: 10.1007/BFb0007371
  3. Zhou, K., Doyle, J. C., & Glover, K. (1996). Robust and Optimal Control. Prentice Hall. link

如何引用本页

ScholarGate. (2026, June 3). H-infinity Control. ScholarGate. https://scholargate.app/zh/control-theory/h-infinity-control

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被引用于

ScholarGateH-infinity Control (H-infinity Control). 于 2026-06-15 检索自 https://scholargate.app/zh/control-theory/h-infinity-control · 数据集: https://doi.org/10.5281/zenodo.20539026