Virtual actuator for Lure systems with Lipschitz-continuous nonlinearity

Virtual actuator for Lure systems with Lipschitz-continuous nonlinearity
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用于具有 Lipschitz 连续非线性的诱饵系统的虚拟执行器

DOI:
10.3182/20120829-3-mx-2028.00038
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发表时间:
2012
期刊:
IFAC Proceedings Volumes
影响因子:
--
通讯作者:
J. Doná
J. Doná
中科院分区:
--
文献类型:
--
作者:
J. Richter;M. Seron;J. Doná

文献摘要

被引文献

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摘要 本文将虚拟执行器扩展到具有Lipschitz连续非线性特性的诱饵系统。虚拟执行器用于在发生执行器故障后重新配置控制律。它们是为线性、Hammerstein-Wiener 和分段仿射系统开发的,现在可用于 Lure 系统。诱饵系统由具有非线性内部反馈的线性动力学组成,可用于表示具有摩擦的机械系统等。我们为重新配置的闭环系统提供了足够的稳定性条件,这对于寻找虚拟执行器参数也很有用,并通过示例评估了该方法。
Abstract In this paper, we extend virtual actuators to Lure systems with Lipschitz-continuous nonlinear characteristic. Virtual actuators are used to reconfigure control laws after the occurrence of actuator failures. They have been developed for linear, Hammerstein-Wiener, and piecewise affine systems and are now made available for Lure systems. Lure systems, which consist of linear dynamics with nonlinear internal feedback, are useful for representing, among others, mechanical systems with friction. We provide sufficient stability conditions for the reconfigured closed-loop system that are also useful for finding the virtual actuator parameters, and evaluate the method by means of an example.