High-frequency nonlinear vibrational control
High-frequency nonlinear vibrational control
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高频非线性振动控制
DOI：
10.1109/9.553689
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
B. Zinn
中科院分区：
文献类型：
--
作者：
B. Shapiro;B. Zinn
本文讨论了高频非线性振动控制的可行性。这种控制具有的优点是，它不需要常规反馈控制中所需的状态测量和处理能力。Bellman等人（1986）研究了由线性振动控制器控制的非线性系统，并证明了如果雅可比矩阵具有正迹，则振动控制是不可行的。本文扩展了以前的工作，包括非线性振动控制器。本文导出了具有非线性控制器的非线性系统的稳定性判据，证明了即使雅可比矩阵有正迹，非线性振动控制器也能使系统稳定。
This paper discusses the feasibility of high-frequency nonlinear vibrational control. Such control has the advantage that it does not require state measurement and processing capabilities that are required in conventional feedback control. Bellman et al. (1986) investigated nonlinear systems controlled by linear vibrational controllers and proved that vibrational control is not feasible if the Jacobian matrix has a positive trace. This paper extends previous work to include nonlinear vibrational controllers. A stability criteria is derived for nonlinear systems with nonlinear controllers, and it is shown that a nonlinear vibrational controller can stabilize a system even if the Jacobian matrix has a positive trace.