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领域控制理论控制理论控制理论
方法族Machine learningMachine learningMachine learning
起源年份199519831981
提出者Miroslav KrsticAlberto IsidoriGeorge Zames
类型algorithmalgorithmalgorithm
开创性文献Krstic, M., Kanellakopoulos, I., & Kokotovic, P. (1995). Nonlinear and Adaptive Control Design. John Wiley & Sons. link ↗Isidori, A. (1995). Nonlinear Control Systems (3rd ed.). Springer-Verlag. DOI ↗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 ↗
别名Integrator Backstepping, Recursive Lyapunov DesignExact Linearization, Nonlinear Feedback Control, Input-Output LinearizationH∞ Control, Robust Control, Minimax Control
相关344
摘要Backstepping is a systematic nonlinear control design method that decomposes a complex nonlinear system into simpler subsystems and designs a controller recursively, layer by layer, ensuring stability at each step. Developed by Krstic, Kanellakopoulos, and Kokotovic, backstepping enables control of nonlinear systems without requiring exact model knowledge or full state linearization, combining flexibility with guaranteed stability.Feedback Linearization is a nonlinear control technique that uses a nonlinear state-feedback transformation to convert a nonlinear system into a linear one, enabling the use of standard linear control methods. Developed by Isidori, Sontag, and others in the 1980s, feedback linearization is conceptually elegant and powerful: if the system satisfies certain structural conditions (relative degree, decoupling matrix rank), the nonlinearities can be exactly cancelled through feedback, reducing the problem to linear design.H-infinity (H∞) control is a robust control method that minimizes the worst-case gain from disturbances to controlled outputs, formulated as a minimax optimization problem. Pioneered by Zames in the early 1980s, H∞ control provides a principled way to design feedback controllers that tolerate model uncertainty, unmodeled dynamics, and disturbances while maintaining stability and performance, making it essential for applications requiring guaranteed robustness.
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ScholarGate方法对比: Backstepping Control · Feedback Linearization · H-infinity Control. 于 2026-06-17 检索自 https://scholargate.app/zh/compare