线性时变系统反馈控制中的解析约束:波德灵敏度积分

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) Pub Date : 1999-12-01 DOI:10.1109/ACC.1999.786218

P. Iglesias

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引用次数: 1

摘要

本文证明了对于具有指数二分类的时变系统，波德积分具有自然的泛化性。此外，灵敏度函数平均受开环系统的低Bohl指数和Lyapunov指数的约束。它们代替了开环极点的大小。对离散时间系统进行了分析。

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Analytic constraints in feedback control of linear time-varying systems: Bode's sensitivity integral

In this paper it is shown how Bode's integral has a natural generalization for time-varying systems which possess an exponential dichotomy. Moreover, the sensitivity function is constrained, on average, by the lower Bohl and Lyapunov exponents of the open-loop system. These take the place of the magnitude of the open-loop poles. The analysis is carried out for discrete-time systems.

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Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

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