提高强迫非线性系统周期解稳定性的控制器设计

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.827952

L. Giovanardi, M. Basso, R. Genesio, A. Tesi

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引用次数: 1

摘要

研究一类一般强迫非线性系统周期轨道的局部指数稳定性问题。给出了设计有限维线性时不变控制器的判据，该判据能提高非受控情况下的局部指数稳定性。这样的判据是基于线性时变系统的指数稳定性的一个众所周知的条件，它适合于我们的周期设置。应用实例说明了所设计的控制器对周期轨道暂态特性的改善。

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Controller design for improving the degree of stability of periodic solutions in forced nonlinear systems

The problem of local exponential stability of periodic orbits in a general class of forced nonlinear systems is considered. A criterion for designing a finite dimensional linear time invariant controller that improves the degree of local exponential stability with respect to the uncontrolled case is provided. Such a criterion is based on a well-known condition for exponential stability of linear time varying systems, that is suitably tailored to our periodic setting. An application example is presented to illustrate the improvement on the transient behavior of the periodic orbits that is provided by the designed controller.

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Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

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