有界控制下的ISS和积分ISS干扰衰减

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.831303

D. Liberzon

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引用次数: 48

摘要

研究了具有有界控制的非线性系统在输入到状态稳定性(ISS)和积分ISS意义下的扰动衰减问题。对于ISS的情况，我们推导出一个“通用”公式，将Lin和Sontag(1991)的早期结果扩展到具有扰动的系统。对于积分- iss情况，我们给出了两种结构，一种是平滑控制律，另一种是切换控制律。本文还简要讨论了切换和混合系统的输入-状态稳定性问题。

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ISS and integral-ISS disturbance attenuation with bounded controls

We consider the problem of achieving disturbance attenuation in the input-to-state stability (ISS) and integral-ISS sense for nonlinear systems with bounded controls. For the ISS case we derive a "universal" formula which extends an earlier result of Lin and Sontag (1991) to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control law. We also briefly discuss some issues related to input-to-state stability of switched and hybrid systems.

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

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